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40400204422416 = 2437144326759639
BaseRepresentation
bin10010010111110011001111…
…10101010101110100010000
312022001012222201011010010220
421023321213311111310100
520243404104313004131
6221531333033553040
711336550504361326
oct1113714765256420
9168035881133126
1040400204422416
11119666a3190013
1246459b6875780
13197095237acc7
149d9547891d16
154a0d7e544e96
hex24be67d55d10

40400204422416 has 80 divisors (see below), whose sum is σ = 106076069268480. Its totient is φ = 13247091195520.

The previous prime is 40400204422387. The next prime is 40400204422427. The reversal of 40400204422416 is 61422440200404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11870076 + ... + 14889563.

It is an arithmetic number, because the mean of its divisors is an integer number (1325950865856).

Almost surely, 240400204422416 is an apocalyptic number.

It is an amenable number.

40400204422416 is an abundant number, since it is smaller than the sum of its proper divisors (65675864846064).

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

40400204422416 is a wasteful number, since it uses less digits than its factorization.

40400204422416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26760164 (or 26760158 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 40400204422416 in words is "forty trillion, four hundred billion, two hundred four million, four hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 443 568 852 886 1136 1329 1704 1772 2658 3408 3544 5316 7088 10632 21264 31453 62906 94359 125812 188718 251624 377436 503248 754872 1509744 26759639 53519278 80278917 107038556 160557834 214077112 321115668 428154224 642231336 1284462672 1899934369 3799868738 5699803107 7599737476 11399606214 11854520077 15199474952 22799212428 23709040154 30398949904 35563560231 45598424856 47418080308 71127120462 91196849712 94836160616 142254240924 189672321232 284508481848 569016963696 841670925467 1683341850934 2525012776401 3366683701868 5050025552802 6733367403736 10100051105604 13466734807472 20200102211208 40400204422416