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10071214344 = 2332679721523
BaseRepresentation
bin10010110000100101…
…01000100100001000
3221222212202200211200
421120102220210020
5131111212324334
64343205024200
7504400623642
oct113022504410
927885680750
1010071214344
1142a8a35444
121b509b5060
13c46692939
146b77bd892
153de278799
hex2584a8908

10071214344 has 96 divisors (see below), whose sum is σ = 27970007520. Its totient is φ = 3272721408.

The previous prime is 10071214331. The next prime is 10071214381. The reversal of 10071214344 is 44341217001.

10071214344 is a `hidden beast` number, since 100 + 7 + 1 + 214 + 344 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457167 + ... + 478689.

It is an arithmetic number, because the mean of its divisors is an integer number (291354245).

Almost surely, 210071214344 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 10071214344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985003760).

10071214344 is an abundant number, since it is smaller than the sum of its proper divisors (17898793176).

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

10071214344 is a wasteful number, since it uses less digits than its factorization.

10071214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21699 (or 21692 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10071214344 in words is "ten billion, seventy-one million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 97 134 194 201 268 291 388 402 536 582 603 776 804 873 1164 1206 1608 1746 2328 2412 3492 4824 6499 6984 12998 19497 21523 25996 38994 43046 51992 58491 64569 77988 86092 116982 129138 155976 172184 193707 233964 258276 387414 467928 516552 774828 1442041 1549656 2087731 2884082 4175462 4326123 5768164 6263193 8350924 8652246 11536328 12526386 12978369 16701848 17304492 18789579 25052772 25956738 34608984 37579158 50105544 51913476 75158316 103826952 139877977 150316632 279755954 419633931 559511908 839267862 1119023816 1258901793 1678535724 2517803586 3357071448 5035607172 10071214344