Search a number
-
+
40137445805568 = 29331383486101
BaseRepresentation
bin10010010000001001110100…
…01100110000111000000000
312021010002202121110100222220
421020010322030300320000
520230102442111234233
6221210515452531040
711311556216110026
oct1110047214607000
9167102677410886
1040137445805568
111187521685a121
124602aa5480a80
131951c38c339b7
149ca93c7ca716
154991015a9eb3
hex24813a330e00

40137445805568 has 80 divisors (see below), whose sum is σ = 107270290626576. Its totient is φ = 13336403558400.

The previous prime is 40137445805551. The next prime is 40137445805591. The reversal of 40137445805568 is 86550854473104.

It is a super-2 number, since 2×401374458055682 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41262283 + ... + 42223818.

Almost surely, 240137445805568 is an apocalyptic number.

40137445805568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40137445805568 is an abundant number, since it is smaller than the sum of its proper divisors (67132844821008).

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

40137445805568 is an equidigital number, since it uses as much as digits as its factorization.

40137445805568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83486435 (or 83486419 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 40137445805568 in words is "forty trillion, one hundred thirty-seven billion, four hundred forty-five million, eight hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 512 626 768 939 1252 1536 1878 2504 3756 5008 7512 10016 15024 20032 30048 40064 60096 80128 120192 160256 240384 480768 83486101 166972202 250458303 333944404 500916606 667888808 1001833212 1335777616 2003666424 2671555232 4007332848 5343110464 8014665696 10686220928 16029331392 21372441856 26131149613 32058662784 42744883712 52262299226 64117325568 78393448839 104524598452 128234651136 156786897678 209049196904 313573795356 418098393808 627147590712 836196787616 1254295181424 1672393575232 2508590362848 3344787150464 5017180725696 6689574300928 10034361451392 13379148601856 20068722902784 40137445805568