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31405377350413 = 1131579115903623
BaseRepresentation
bin1110010010000001000100…
…10111000110101100001101
311010012022202202010020222101
413021000202113012230031
513104021203100203123
6150443233045115101
76420651345642553
oct711004227065415
9133168682106871
1031405377350413
11a008a448612a0
1236326a53b8a91
13146a68c115b71
147a8057c03bd3
15396dd507caad
hex1c90225c6b0d

31405377350413 has 16 divisors (see below), whose sum is σ = 35371695439872. Its totient is φ = 27624591414000.

The previous prime is 31405377350411. The next prime is 31405377350483.

31405377350413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31405377350413 - 21 = 31405377350411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31405377350411) 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 15 ways as a sum of consecutive naturals, for example, 5977081 + ... + 9926542.

It is an arithmetic number, because the mean of its divisors is an integer number (2210730964992).

Almost surely, 231405377350413 is an apocalyptic number.

It is an amenable number.

31405377350413 is a deficient number, since it is larger than the sum of its proper divisors (3966318089459).

31405377350413 is a wasteful number, since it uses less digits than its factorization.

31405377350413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15909456.

The product of its (nonzero) digits is 1587600, while the sum is 46.

The spelling of 31405377350413 in words is "thirty-one trillion, four hundred five billion, three hundred seventy-seven million, three hundred fifty thousand, four hundred thirteen".

Divisors: 1 11 31 341 5791 63701 179521 1974731 15903623 174939853 493012313 5423135443 92097880793 1013076688723 2855034304583 31405377350413