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4113421320 = 23351712771579
BaseRepresentation
bin1111010100101101…
…1101010000001000
3101121200010110020210
43311023131100020
531411013440240
61520100521120
7203635334661
oct36513352010
911550113223
104113421320
111820a12358
129696b01a0
13507284118
142b043a368
151911cb780
hexf52dd408

4113421320 has 128 divisors (see below), whose sum is σ = 13084675200. Its totient is φ = 1030926336.

The previous prime is 4113421297. The next prime is 4113421343. The reversal of 4113421320 is 231243114.

It is an interprime number because it is at equal distance from previous prime (4113421297) and next prime (4113421343).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604291 + ... + 2605869.

It is an arithmetic number, because the mean of its divisors is an integer number (102224025).

Almost surely, 24113421320 is an apocalyptic number.

4113421320 is a gapful number since it is divisible by the number (40) 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 4113421320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542337600).

4113421320 is an abundant number, since it is smaller than the sum of its proper divisors (8971253880).

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

4113421320 is a wasteful number, since it uses less digits than its factorization.

4113421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4113421320 is about 64135.9596482348. The cubic root of 4113421320 is about 1602.2651925923.

Adding to 4113421320 its reverse (231243114), we get a palindrome (4344664434).

The spelling of 4113421320 in words is "four billion, one hundred thirteen million, four hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1277 1579 2040 2554 3158 3831 4737 5108 6316 6385 7662 7895 9474 10216 12632 12770 15324 15790 18948 19155 21709 23685 25540 26843 30648 31580 37896 38310 43418 47370 51080 53686 63160 65127 76620 80529 86836 94740 107372 108545 130254 134215 153240 161058 173672 189480 214744 217090 260508 268430 322116 325635 402645 434180 521016 536860 644232 651270 805290 868360 1073720 1302540 1610580 2016383 2605080 3221160 4032766 6049149 8065532 10081915 12098298 16131064 20163830 24196596 30245745 34278511 40327660 48393192 60491490 68557022 80655320 102835533 120982980 137114044 171392555 205671066 241965960 274228088 342785110 411342132 514177665 685570220 822684264 1028355330 1371140440 2056710660 4113421320