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31434914321 = 197293544601
BaseRepresentation
bin11101010001101010…
…101011101000010001
310000010202100002202222
4131101222223220101
51003334314224241
622235131150425
72161662235346
oct352152535021
9100122302688
1031434914321
111237120a438
1261135a5415
132c6c749625
141742c487cd
15c3eab8a4b
hex751aaba11

31434914321 has 8 divisors (see below), whose sum is σ = 31702371624. Its totient is φ = 31168547200.

The previous prime is 31434914299. The next prime is 31434914339. The reversal of 31434914321 is 12341943413.

It can be written as a sum of positive squares in 4 ways, for example, as 17673043600 + 13761870721 = 132940^2 + 117311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31434914321 - 218 = 31434652177 is a prime.

It is a super-2 number, since 2×314349143212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31434914341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214580 + ... + 330021.

It is an arithmetic number, because the mean of its divisors is an integer number (3962796453).

Almost surely, 231434914321 is an apocalyptic number.

It is an amenable number.

31434914321 is a deficient number, since it is larger than the sum of its proper divisors (267457303).

31434914321 is a wasteful number, since it uses less digits than its factorization.

31434914321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545091.

The product of its digits is 31104, while the sum is 35.

The spelling of 31434914321 in words is "thirty-one billion, four hundred thirty-four million, nine hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 197 293 57721 544601 107286397 159568093 31434914321