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40421163744 = 25321310796251
BaseRepresentation
bin100101101001010010…
…100000001011100000
310212100000112212112200
4211221102200023200
51130240304214434
630322541453200
72630450136303
oct455122401340
9125300485480
1040421163744
1116162769655
127a00b71200
133a723c3b90
141d564c0b3a
1510b897b199
hex9694a02e0

40421163744 has 72 divisors (see below), whose sum is σ = 123789825432. Its totient is φ = 12437280000.

The previous prime is 40421163737. The next prime is 40421163773. The reversal of 40421163744 is 44736112404.

40421163744 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 11 + 637 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 40421163699 and 40421163708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5394382 + ... + 5401869.

It is an arithmetic number, because the mean of its divisors is an integer number (1719303131).

Almost surely, 240421163744 is an apocalyptic number.

It is an amenable number.

40421163744 is an abundant number, since it is smaller than the sum of its proper divisors (83368661688).

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

40421163744 is a wasteful number, since it uses less digits than its factorization.

40421163744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796280 (or 10796269 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40421163744 in words is "forty billion, four hundred twenty-one million, one hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 10796251 21592502 32388753 43185004 64777506 86370008 97166259 129555012 140351263 172740016 194332518 259110024 280702526 345480032 388665036 421053789 518220048 561405052 777330072 842107578 1036440096 1122810104 1263161367 1554660144 1684215156 2245620208 2526322734 3109320288 3368430312 4491240416 5052645468 6736860624 10105290936 13473721248 20210581872 40421163744