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40632745881924 = 2232721517712
BaseRepresentation
bin10010011110100100011000…
…11000100111000101000100
312022212110012220221020001100
421033102030120213011010
520311211330421210144
6222230231544300100
711362422215230200
oct1117221430470504
9168773186836040
1040632745881924
1111a462838363a9
124682a94471630
131989861449661
14a068c7741b00
154a6e3e7ad269
hex24f48c627144

40632745881924 has 81 divisors (see below), whose sum is σ = 119480409060831. Its totient is φ = 11609279473680.

The previous prime is 40632745881919. The next prime is 40632745881943. The reversal of 40632745881924 is 42918854723604.

The square root of 40632745881924 is 6374382.

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

40632745881924 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 27 + 4 + 588 + 1 + 9 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267648159 + ... + 267799929.

It is a 1-persistent number, because it is pandigital, but 2⋅40632745881924 = 81265491763848 is not.

Almost surely, 240632745881924 is an apocalyptic number.

40632745881924 is the 6374382-nd square number.

It is an amenable number.

40632745881924 is an abundant number, since it is smaller than the sum of its proper divisors (78847663178907).

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

40632745881924 is an frugal number, since it uses more digits than its factorization.

40632745881924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303566 (or 151783 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 40632745881924 in words is "forty trillion, six hundred thirty-two billion, seven hundred forty-five million, eight hundred eighty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 151771 303542 455313 607084 910626 1062397 1365939 1821252 2124794 2731878 3187191 4249588 5463756 6374382 7436779 9561573 12748764 14873558 19123146 22310337 29747116 38246292 44620674 66931011 89241348 133862022 267724044 23034436441 46068872882 69103309323 92137745764 138206618646 161241055087 207309927969 276413237292 322482110174 414619855938 483723165261 644964220348 829239711876 967446330522 1128687385609 1451169495783 1934892661044 2257374771218 2902338991566 3386062156827 4514749542436 5804677983132 6772124313654 10158186470481 13544248627308 20316372940962 40632745881924