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10141430014232 = 2311325713672711
BaseRepresentation
bin1001001110010011110001…
…0101010110000100011000
31022220111210200202101022122
42103210330111112010120
52312124122040423412
633322524133040412
72064460042544306
oct223447425260430
938814720671278
1010141430014232
11325aa57947000
121179588486108
1358744307758a
14270bc2643276
15128c06487572
hex9393c556118

10141430014232 has 128 divisors (see below), whose sum is σ = 21019763450880. Its totient is φ = 4586752614400.

The previous prime is 10141430014187. The next prime is 10141430014249. The reversal of 10141430014232 is 23241003414101.

It is a congruent number.

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, 3740843357 + ... + 3740846067.

It is an arithmetic number, because the mean of its divisors is an integer number (164216901960).

Almost surely, 210141430014232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141430014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10509881725440).

10141430014232 is an abundant number, since it is smaller than the sum of its proper divisors (10878333436648).

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

10141430014232 is a wasteful number, since it uses less digits than its factorization.

10141430014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10141430014232 its reverse (23241003414101), we get a palindrome (33382433428333).

The spelling of 10141430014232 in words is "ten trillion, one hundred forty-one billion, four hundred thirty million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 257 484 514 968 1028 1331 1367 2056 2662 2711 2734 2827 5324 5422 5468 5654 10648 10844 10936 11308 15037 21688 22616 29821 30074 31097 59642 60148 62194 119284 120296 124388 165407 238568 248776 328031 330814 342067 351319 656062 661628 684134 696727 702638 1312124 1323256 1368268 1393454 1405276 1819477 2624248 2736536 2786908 2810552 3608341 3638954 3705937 3864509 5573816 7216682 7277908 7411874 7663997 7729018 14433364 14555816 14823748 15327994 15458036 28866728 29647496 30655988 30916072 40765307 42509599 61311976 81530614 84303967 85019198 163061228 168607934 170038396 326122456 337215868 340076792 448418377 467605589 674431736 896836754 927343637 935211178 952425809 1793673508 1854687274 1870422356 1904851618 3587347016 3709374548 3740844712 3809703236 4932602147 7418749096 7619406472 9865204294 10476683899 19730408588 20953367798 39460817176 41906735596 83813471192 115243522889 230487045778 460974091556 921948183112 1267678751779 2535357503558 5070715007116 10141430014232