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40837433408 = 2673103113751
BaseRepresentation
bin100110000010000110…
…011100100001000000
310220102000211120011122
4212002012130201000
51132113340332113
630432131531412
72643663312422
oct460206344100
9126360746148
1040837433408
1116356737172
127ab8459b68
133b0a7109a5
141d958bc812
1510e02a5408
hex98219c840

40837433408 has 112 divisors (see below), whose sum is σ = 83789861376. Its totient is φ = 19740672000.

The previous prime is 40837433407. The next prime is 40837433431. The reversal of 40837433408 is 80433473804.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40837433407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54377033 + ... + 54377783.

Almost surely, 240837433408 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 40837433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41894930688).

40837433408 is an abundant number, since it is smaller than the sum of its proper divisors (42952427968).

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

40837433408 is a wasteful number, since it uses less digits than its factorization.

40837433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 40837433408 in words is "forty billion, eight hundred thirty-seven million, four hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 73 103 113 146 206 226 292 412 452 584 751 824 904 1168 1502 1648 1808 2336 3004 3296 3616 4672 6008 6592 7232 7519 8249 11639 12016 15038 16498 23278 24032 30076 32996 46556 48064 54823 60152 65992 77353 84863 93112 109646 120304 131984 154706 169726 186224 219292 240608 263968 309412 339452 372448 438584 481216 527936 618824 678904 744896 849647 877168 1237648 1357808 1699294 1754336 2475296 2715616 3398588 3508672 4950592 5431232 5646769 6194999 6797176 8740889 11293538 12389998 13594352 17481778 22587076 24779996 27188704 34963556 45174152 49559992 54377408 69927112 90348304 99119984 139854224 180696608 198239968 279708448 361393216 396479936 559416896 638084897 1276169794 2552339588 5104679176 10209358352 20418716704 40837433408