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31402320849 = 32590692
BaseRepresentation
bin11101001111101110…
…010110001111010001
310000001111000011221100
4131033232112033101
51003302443231344
622232004415013
72161115215554
oct351756261721
9100044004840
1031402320849
1112354878489
1261046a7469
132c65a77053
14173c7a269b
15c3bccb569
hex74fb963d1

31402320849 has 9 divisors (see below), whose sum is σ = 45359675803. Its totient is φ = 20934526152.

The previous prime is 31402320847. The next prime is 31402320871. The reversal of 31402320849 is 94802320413.

The square root of 31402320849 is 177207.

It is a perfect power (a square), and thus also a powerful number.

31402320849 is a `hidden beast` number, since 3 + 1 + 402 + 3 + 208 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23760064449 + 7642256400 = 154143^2 + 87420^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 31402320849 - 21 = 31402320847 is a prime.

It is a super-3 number, since 3×314023208493 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31402320847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 502087 + ... + 561155.

Almost surely, 231402320849 is an apocalyptic number.

31402320849 is the 177207-th square number.

31402320849 is the 88604-th centered octagonal number.

It is an amenable number.

31402320849 is a deficient number, since it is larger than the sum of its proper divisors (13957354954).

31402320849 is an frugal number, since it uses more digits than its factorization.

31402320849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118144 (or 59072 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 31402320849 by its sum of digits (36), we get a square (1130483550564 = 10632422).

The spelling of 31402320849 in words is "thirty-one billion, four hundred two million, three hundred twenty thousand, eight hundred forty-nine".

Divisors: 1 3 9 59069 177207 531621 3489146761 10467440283 31402320849