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40216131244404 = 22327154129083199
BaseRepresentation
bin10010010010011100011000…
…01101111001000101110100
312021101121212022222211002100
421021032030031321011310
520232400114044310104
6221311011410542100
711320343136233553
oct1111161415710564
9167347768884070
1040216131244404
11118a5624722a15
1246161a4b97930
131959498902b6b
149d0684b33d9a
1549b1a945e139
hex24938c379174

40216131244404 has 72 divisors (see below), whose sum is σ = 103279794508800. Its totient is φ = 13192138612800.

The previous prime is 40216131244397. The next prime is 40216131244409. The reversal of 40216131244404 is 40444213161204.

40216131244404 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 6 + 1 + 3 + 1 + 244 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216131244409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13158804 + ... + 15924395.

It is an arithmetic number, because the mean of its divisors is an integer number (1434441590400).

Almost surely, 240216131244404 is an apocalyptic number.

It is an amenable number.

40216131244404 is an abundant number, since it is smaller than the sum of its proper divisors (63063663264396).

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

40216131244404 is a wasteful number, since it uses less digits than its factorization.

40216131244404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29083821 (or 29083816 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 40216131244404 in words is "forty trillion, two hundred sixteen billion, one hundred thirty-one million, two hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 541 639 852 1082 1278 1623 2164 2556 3246 4869 6492 9738 19476 38411 76822 115233 153644 230466 345699 460932 691398 1382796 29083199 58166398 87249597 116332796 174499194 261748791 348998388 523497582 1046995164 2064907129 4129814258 6194721387 8259628516 12389442774 15734010659 18584164161 24778885548 31468021318 37168328322 47202031977 62936042636 74336656644 94404063954 141606095931 188808127908 283212191862 566424383724 1117114756789 2234229513578 3351344270367 4468459027156 6702688540734 10054032811101 13405377081468 20108065622202 40216131244404