Search a number
-
+
124114120240 = 245112572931873
BaseRepresentation
bin111001110010111000…
…1110010111000110000
3102212100201121120111011
41303211301302320300
54013141203321430
6133003420200304
711652443421025
oct1634561627060
9385321546434
10124114120240
11487002045a0
1220079699094
13b91c654646
1460158c554c
15336626e22a
hex1ce5c72e30

124114120240 has 160 divisors (see below), whose sum is σ = 317271318336. Its totient is φ = 44779438080.

The previous prime is 124114120211. The next prime is 124114120289. The reversal of 124114120240 is 42021411421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66263944 + ... + 66265816.

Almost surely, 2124114120240 is an apocalyptic number.

124114120240 is a gapful number since it is divisible by the number (10) 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 124114120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158635659168).

124114120240 is an abundant number, since it is smaller than the sum of its proper divisors (193157198096).

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

124114120240 is a wasteful number, since it uses less digits than its factorization.

124114120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 124114120240 its reverse (42021411421), we get a palindrome (166135531661).

The spelling of 124114120240 in words is "one hundred twenty-four billion, one hundred fourteen million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 257 293 440 514 586 880 1028 1172 1285 1465 1873 2056 2344 2570 2827 2930 3223 3746 4112 4688 5140 5654 5860 6446 7492 9365 10280 11308 11720 12892 14135 14984 16115 18730 20560 20603 22616 23440 25784 28270 29968 32230 37460 41206 45232 51568 56540 64460 74920 75301 82412 103015 113080 128920 149840 150602 164824 206030 226160 257840 301204 329648 376505 412060 481361 548789 602408 753010 824120 828311 962722 1097578 1204816 1506020 1648240 1656622 1925444 2195156 2406805 2743945 3012040 3313244 3850888 4141555 4390312 4813610 5294971 5487890 6024080 6036679 6626488 7701776 8283110 8780624 9627220 10589942 10975780 12073358 13252976 16566220 19254440 21179884 21951560 24146716 26474855 30183395 33132440 38508880 42359768 43903120 48293432 52949710 60366790 66264880 84719536 96586864 105899420 120733580 141038773 211798840 241467160 282077546 423597680 482934320 564155092 705193865 1128310184 1410387730 1551426503 2256620368 2820775460 3102853006 5641550920 6205706012 7757132515 11283101840 12411412024 15514265030 24822824048 31028530060 62057060120 124114120240