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31142719729 = 1126122632
BaseRepresentation
bin11101000000010000…
…000011000011110001
32222101101112002011001
4131000100003003301
51002240014012404
622150132322001
72151513515152
oct350020030361
988341462131
1031142719729
1112231287300
126051773301
132c24052514
141716107929
15c240ec7a4
hex7404030f1

31142719729 has 27 divisors (see below), whose sum is σ = 34934450187. Its totient is φ = 27741555600.

The previous prime is 31142719717. The next prime is 31142719759. The reversal of 31142719729 is 92791724113.

The square root of 31142719729 is 176473.

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

It can be written as a sum of positive squares in only one way, i.e., 1012703329 + 30130016400 = 31823^2 + 173580^2 .

It is not a de Polignac number, because 31142719729 - 25 = 31142719697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31142719759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118413252 + ... + 118413514.

Almost surely, 231142719729 is an apocalyptic number.

31142719729 is the 176473-rd square number.

31142719729 is the 88237-th centered octagonal number.

It is an amenable number.

31142719729 is a deficient number, since it is larger than the sum of its proper divisors (3791730458).

31142719729 is an frugal number, since it uses more digits than its factorization.

31142719729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its digits is 190512, while the sum is 46.

The spelling of 31142719729 in words is "thirty-one billion, one hundred forty-two million, seven hundred nineteen thousand, seven hundred twenty-nine".

Divisors: 1 11 61 121 263 671 2893 3721 7381 16043 31823 40931 69169 176473 450241 760859 978623 1941203 4219309 8369449 10764853 46412399 118413383 257377849 510536389 2831156339 31142719729