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42431261045516 = 22729375417260717
BaseRepresentation
bin10011010010111010011000…
…01111011111001100001100
312120020101111112111212212222
421221131030033133030030
521030143210311424031
6230124352514114512
711636362130000150
oct1151351417371414
9176211445455788
1042431261045516
1112579aa6752462
12491356757ba38
131a8a334b7b525
14a69980c37060
154d8b03cb4e7b
hex26974c3df30c

42431261045516 has 96 divisors (see below), whose sum is σ = 90178476716160. Its totient is φ = 17080009906176.

The previous prime is 42431261045483. The next prime is 42431261045531. The reversal of 42431261045516 is 61554016213424.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162617990 + ... + 162878706.

It is an arithmetic number, because the mean of its divisors is an integer number (939359132460).

Almost surely, 242431261045516 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 42431261045516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45089238358080).

42431261045516 is an abundant number, since it is smaller than the sum of its proper divisors (47747215670644).

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

42431261045516 is a wasteful number, since it uses less digits than its factorization.

42431261045516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266211 (or 266209 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 42431261045516 in words is "forty-two trillion, four hundred thirty-one billion, two hundred sixty-one million, forty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 29 37 58 74 116 148 203 259 406 518 812 1036 1073 2146 4292 5417 7511 10834 15022 21668 30044 37919 75838 151676 157093 200429 260717 314186 400858 521434 628372 801716 1042868 1099651 1403003 1825019 2199302 2806006 3650038 4398604 5612012 5812441 7300076 7560793 9646529 11624882 15121586 19293058 23249764 30243172 38586116 40687087 52925551 67525703 81374174 105851102 135051406 162748348 211702204 270102812 279749341 559498682 1118997364 1412303989 1958245387 2824607978 3916490774 5649215956 7832981548 9886127923 19772255846 39544511692 40956815681 52255247593 81913631362 104510495186 163827262724 209020990372 286697709767 365786733151 573395419534 731573466302 1146790839068 1463146932604 1515402180197 3030804360394 6061608720788 10607815261379 21215630522758 42431261045516