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302130535440 = 243510117372047
BaseRepresentation
bin1000110010110000110…
…00100001110000010000
31001212211222220102221010
410121120120201300100
514422230404113230
6350444041530520
730554035115046
oct4313030416020
91055758812833
10302130535440
111071508a1098
124a67aaa3a40
132264c34b376
14108a209a396
157cd47589b0
hex4658621c10

302130535440 has 160 divisors (see below), whose sum is σ = 951358680576. Its totient is φ = 79308236800.

The previous prime is 302130535391. The next prime is 302130535481. The reversal of 302130535440 is 44535031203.

It is a super-2 number, since 2×3021305354402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 302130535398 and 302130535407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4157497 + ... + 4229543.

Almost surely, 2302130535440 is an apocalyptic number.

302130535440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302130535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475679340288).

302130535440 is an abundant number, since it is smaller than the sum of its proper divisors (649228145136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

302130535440 is a wasteful number, since it uses less digits than its factorization.

302130535440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72337 (or 72331 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 302130535440 its reverse (44535031203), we get a palindrome (346665566643).

The spelling of 302130535440 in words is "three hundred two billion, one hundred thirty million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 173 202 240 303 346 404 505 519 606 692 808 865 1010 1038 1212 1384 1515 1616 1730 2020 2076 2424 2595 2768 3030 3460 4040 4152 4848 5190 6060 6920 8080 8304 10380 12120 13840 17473 20760 24240 34946 41520 52419 69892 72047 87365 104838 139784 144094 174730 209676 216141 262095 279568 288188 349460 360235 419352 432282 524190 576376 698920 720470 838704 864564 1048380 1080705 1152752 1397840 1440940 1729128 2096760 2161410 2881880 3458256 4193520 4322820 5763760 7276747 8645640 12464131 14553494 17291280 21830241 24928262 29106988 36383735 37392393 43660482 49856524 58213976 62320655 72767470 74784786 87320964 99713048 109151205 116427952 124641310 145534940 149569572 174641928 186961965 199426096 218302410 249282620 291069880 299139144 349283856 373923930 436604820 498565240 582139760 598278288 747847860 873209640 997130480 1258877231 1495695720 1746419280 2517754462 2991391440 3776631693 5035508924 6294386155 7553263386 10071017848 12588772310 15106526772 18883158465 20142035696 25177544620 30213053544 37766316930 50355089240 60426107088 75532633860 100710178480 151065267720 302130535440