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400410134404 = 22726145197411
BaseRepresentation
bin1011101001110100100…
…11011100011110000100
31102021112021022100121221
411310322103130132010
523030014443300104
6503540150450124
740633351662100
oct5647223343604
91367467270557
10400410134404
111448a409a455
1265728663944
132b9b25ba717
1415546844900
15a63790ec54
hex5d3a4dc784

400410134404 has 72 divisors (see below), whose sum is σ = 828778413120. Its totient is φ = 168731035200.

The previous prime is 400410134393. The next prime is 400410134431. The reversal of 400410134404 is 404431014004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54025459 + ... + 54032869.

Almost surely, 2400410134404 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 400410134404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414389206560).

400410134404 is an abundant number, since it is smaller than the sum of its proper divisors (428368278716).

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

400410134404 is a wasteful number, since it uses less digits than its factorization.

400410134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12009 (or 12000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 400410134404 its reverse (404431014004), we get a palindrome (804841148408).

The spelling of 400410134404 in words is "four hundred billion, four hundred ten million, one hundred thirty-four thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 4519 5978 7411 9038 11956 14822 18076 29644 31633 51877 63266 103754 126532 207508 221431 275659 363139 442862 452071 551318 726278 885724 904142 1102636 1452556 1808284 1929613 3164497 3859226 6328994 7718452 12657988 13507291 22151479 27014582 33490309 44302958 54029164 66980618 88605916 133961236 234432163 468864326 937728652 1641025141 2042908849 3282050282 4085817698 6564100564 8171635396 14300361943 28600723886 57201447772 100102533601 200205067202 400410134404