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40121531008 = 271330617877
BaseRepresentation
bin100101010111011011…
…011111101010000000
310211120010201221200221
4211113123133222000
51124132102443013
630233115352424
72620151246416
oct452733375200
9124503657627
1040121531008
1116019616099
127938752714
133a252c42c0
141d287a52b6
15109c4e108d
hex9576dfa80

40121531008 has 64 divisors (see below), whose sum is σ = 86117096520. Its totient is φ = 18509230080.

The previous prime is 40121530979. The next prime is 40121531017. The reversal of 40121531008 is 80013512104.

It can be written as a sum of positive squares in 4 ways, for example, as 31029527104 + 9092003904 = 176152^2 + 95352^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 5089566 + ... + 5097442.

Almost surely, 240121531008 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 40121531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43058548260).

40121531008 is an abundant number, since it is smaller than the sum of its proper divisors (45995565512).

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

40121531008 is a wasteful number, since it uses less digits than its factorization.

40121531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 40121531008 in words is "forty billion, one hundred twenty-one million, five hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 3061 6122 7877 12244 15754 24488 31508 39793 48976 63016 79586 97952 102401 126032 159172 195904 204802 252064 318344 391808 409604 504128 636688 819208 1008256 1273376 1638416 2546752 3276832 5093504 6553664 13107328 24111497 48222994 96445988 192891976 313449461 385783952 626898922 771567904 1253797844 1543135808 2507595688 3086271616 5015191376 10030382752 20060765504 40121531008