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10140241231536 = 24313311221142929
BaseRepresentation
bin1001001110001111010101…
…1110011111111010110000
31022220101201211211222000220
42103203311132133322300
52312114203223402121
633322210145213040
72064415426215453
oct223436536377260
938811654758026
1010140241231536
11325a4a7901a69
1211792b6331180
135872b39aca70
14270b0c7d349a
15128b86e156c6
hex938f579feb0

10140241231536 has 160 divisors (see below), whose sum is σ = 29123755960320. Its totient is φ = 3019109068800.

The previous prime is 10140241231531. The next prime is 10140241231541. The reversal of 10140241231536 is 63513214204101.

It is an interprime number because it is at equal distance from previous prime (10140241231531) and next prime (10140241231541).

It is a junction number, because it is equal to n+sod(n) for n = 10140241231497 and 10140241231506.

It is not an unprimeable number, because it can be changed into a prime (10140241231531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236188120 + ... + 236231048.

It is an arithmetic number, because the mean of its divisors is an integer number (182023474752).

Almost surely, 210140241231536 is an apocalyptic number.

10140241231536 is a gapful number since it is divisible by the number (16) 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 10140241231536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561877980160).

10140241231536 is an abundant number, since it is smaller than the sum of its proper divisors (18983514728784).

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

10140241231536 is a wasteful number, since it uses less digits than its factorization.

10140241231536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55195 (or 55189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 10140241231536 its reverse (63513214204101), we get a palindrome (73653455435637).

The spelling of 10140241231536 in words is "ten trillion, one hundred forty billion, two hundred forty-one million, two hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 12211 19344 24422 36633 42929 48844 73266 85858 97688 128787 146532 158743 171716 195376 257574 293064 317486 343432 378541 476229 515148 558077 586128 634972 686864 757082 952458 1030296 1116154 1135623 1269944 1330799 1514164 1674231 1904916 2060592 2232308 2271246 2539888 2661598 3028328 3348462 3809832 3992397 4464616 4542492 4921033 5323196 6056656 6696924 7619664 7984794 8929232 9084984 9842066 10646392 13393848 14763099 15969588 17300387 18169968 19684132 21292784 26787696 29526198 31939176 34600774 39368264 51901161 59052396 63878352 69201548 78736528 103802322 118104792 138403096 207604644 236209584 276806192 415209288 524206019 830418576 1048412038 1572618057 2096824076 3145236114 4193648152 6290472228 6814678247 8387296304 12580944456 13629356494 16250386589 20444034741 25161888912 27258712988 32500773178 40888069482 48751159767 54517425976 65001546356 81776138964 97502319534 109034851952 130003092712 163552277928 195004639068 211255025657 260006185424 327104555856 390009278136 422510051314 633765076971 780018556272 845020102628 1267530153942 1690040205256 2535060307884 3380080410512 5070120615768 10140241231536