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40553306934 = 2372343396953
BaseRepresentation
bin100101110001001010…
…100101101100110110
310212200020012102220220
4211301022211230312
51131023121310214
630344022035210
72633643264360
oct456112455466
9125606172826
1040553306934
11162203147a8
127a39278b06
133a938b000a
141d69c7bd30
1510c537e9a9
hex9712a5b36

40553306934 has 64 divisors (see below), whose sum is σ = 96947794944. Its totient is φ = 11057181696.

The previous prime is 40553306933. The next prime is 40553306947. The reversal of 40553306934 is 43960335504.

It is a happy number.

40553306934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40553306933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369802 + ... + 466754.

It is an arithmetic number, because the mean of its divisors is an integer number (1514809296).

Almost surely, 240553306934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40553306934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48473897472).

40553306934 is an abundant number, since it is smaller than the sum of its proper divisors (56394488010).

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

40553306934 is a wasteful number, since it uses less digits than its factorization.

40553306934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97421.

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 40553306934 in words is "forty billion, five hundred fifty-three million, three hundred six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 433 483 866 966 1299 2598 3031 6062 9093 9959 18186 19918 29877 59754 69713 96953 139426 193906 209139 290859 418278 581718 678671 1357342 2036013 2229919 4072026 4459838 6689757 13379514 15609433 31218866 41980649 46828299 83961298 93656598 125941947 251883894 293864543 587729086 881593629 965554927 1763187258 1931109854 2896664781 5793329562 6758884489 13517768978 20276653467 40553306934