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400519373956 = 2213210122412
BaseRepresentation
bin1011101010000001101…
…00001010010010000100
31102021210212212022010021
411311000310022102010
523030230424431311
6503555052104524
740636146335542
oct5650064122204
91367725768107
10400519373956
1114494a821779
1265759165144
132b9cc117900
141555715cd92
15a6422dc171
hex5d40d0a484

400519373956 has 81 divisors (see below), whose sum is σ = 769755294189. Its totient is φ = 182265408000.

The previous prime is 400519373951. The next prime is 400519373983. The reversal of 400519373956 is 659373915004.

The square root of 400519373956 is 632866.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 41018400900 + 359500973056 = 202530^2 + 599584^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400519373951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1661905996 + ... + 1661906236.

Almost surely, 2400519373956 is an apocalyptic number.

400519373956 is the 632866-th square number.

It is an amenable number.

400519373956 is a deficient number, since it is larger than the sum of its proper divisors (369235920233).

400519373956 is a wasteful number, since it uses less digits than its factorization.

400519373956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 400519373956 in words is "four hundred billion, five hundred nineteen million, three hundred seventy-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 26 52 101 169 202 241 338 404 482 676 964 1313 2626 3133 5252 6266 10201 12532 17069 20402 24341 34138 40729 40804 48682 58081 68276 81458 97364 116162 132613 162916 232324 265226 316433 530452 632866 755053 1265732 1510106 1723969 2458441 3020212 3447938 4113629 4916882 5866181 6895876 8227258 9815689 9833764 11732362 16454516 19631378 23464724 31959733 39262756 63919466 76260353 127838932 152520706 305041412 415476529 592484281 830953058 991384589 1184968562 1661906116 1982769178 2369937124 3965538356 7702295653 15404591306 30809182612 100129843489 200259686978 400519373956