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10140432555344 = 2471367223466139
BaseRepresentation
bin1001001110010000000011…
…1000010101110101010000
31022220102020011212012221212
42103210000320111311100
52312120101213232334
633322241142035252
72064423241356020
oct223440070256520
938812204765855
1010140432555344
11325a5958a9413
12117934a418b28
13587314519c10
14270b29d97a80
15128b98b08ece
hex93900e15d50

10140432555344 has 160 divisors (see below), whose sum is σ = 24652048834560. Its totient is φ = 3933995890176.

The previous prime is 10140432555313. The next prime is 10140432555361. The reversal of 10140432555344 is 44355523404101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21521027 + ... + 21987165.

It is an arithmetic number, because the mean of its divisors is an integer number (154075305216).

Almost surely, 210140432555344 is an apocalyptic number.

10140432555344 is a gapful number since it is divisible by the number (14) 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 10140432555344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12326024417280).

10140432555344 is an abundant number, since it is smaller than the sum of its proper divisors (14511616279216).

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

10140432555344 is a wasteful number, since it uses less digits than its factorization.

10140432555344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466457 (or 466451 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

Adding to 10140432555344 its reverse (44355523404101), we get a palindrome (54495955959445).

The spelling of 10140432555344 in words is "ten trillion, one hundred forty billion, four hundred thirty-two million, five hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 67 91 104 112 134 182 208 223 268 364 446 469 536 728 871 892 938 1072 1456 1561 1742 1784 1876 2899 3122 3484 3568 3752 5798 6097 6244 6968 7504 11596 12194 12488 13936 14941 20293 23192 24388 24976 29882 40586 46384 48776 59764 81172 97552 104587 119528 162344 194233 209174 239056 324688 388466 418348 466139 776932 836696 932278 1359631 1553864 1673392 1864556 2719262 3107728 3262973 3729112 5438524 6059807 6525946 7458224 10877048 12119614 13051892 21754096 24239228 26103784 31231313 42418649 48478456 52207568 62462626 84837298 96956912 103948997 124925252 169674596 207897994 218619191 249850504 339349192 406007069 415795988 437238382 499701008 678698384 727642979 812014138 831591976 874476764 1351336961 1455285958 1624028276 1663183952 1748953528 2702673922 2842049483 2910571916 3248056552 3497907056 5405347844 5684098966 5821143832 6496113104 6964582799 9459358727 10810695688 11368197932 11642287664 13929165598 18918717454 21621391376 22736395864 27858331196 37837434908 45472791728 48752079593 55716662392 75674869816 90539576387 97504159186 111433324784 151349739632 181079152774 195008318372 362158305548 390016636744 633777034709 724316611096 780033273488 1267554069418 1448633222192 2535108138836 5070216277672 10140432555344