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40761240714 = 2341734942409
BaseRepresentation
bin100101111101100011…
…110010110010001010
310220012201110120110000
4211331203302302022
51131434334200324
630420410503430
72642046554325
oct457543626212
9126181416400
1040761240714
11163177264a7
127a96a34b76
133ac79b455c
141d897277bc
1510d87549c9
hex97d8f2c8a

40761240714 has 80 divisors (see below), whose sum is σ = 96987429000. Its totient is φ = 12750898176.

The previous prime is 40761240713. The next prime is 40761240719. The reversal of 40761240714 is 41704216704.

It is a happy number.

40761240714 is a `hidden beast` number, since 407 + 6 + 1 + 240 + 7 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40733330625 + 27910089 = 201825^2 + 5283^2 .

It is a super-2 number, since 2×407612407142 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40761240713) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 939942 + ... + 982350.

Almost surely, 240761240714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40761240714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48493714500).

40761240714 is an abundant number, since it is smaller than the sum of its proper divisors (56226188286).

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

40761240714 is a wasteful number, since it uses less digits than its factorization.

40761240714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42789 (or 42780 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 40761240714 in words is "forty billion, seven hundred sixty-one million, two hundred forty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 349 459 698 918 1047 1377 2094 2754 3141 5933 6282 9423 11866 17799 18846 28269 35598 42409 53397 56538 84818 106794 127227 160191 254454 320382 381681 480573 720953 763362 961146 1145043 1441906 2162859 2290086 3435129 4325718 6488577 6870258 12977154 14800741 19465731 29601482 38931462 44402223 58397193 88804446 116794386 133206669 251612597 266413338 399620007 503225194 754837791 799240014 1198860021 1509675582 2264513373 2397720042 4529026746 6793540119 13587080238 20380620357 40761240714