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31415563432 = 2311317322161
BaseRepresentation
bin11101010000100000…
…110111010010101000
310000002101220222100101
4131100200313102220
51003314341012212
622233200315144
72161335611641
oct352040672250
9100071828311
1031415563432
11123612a2870
126109012ab4
132c687327b6
14174044c6c8
15c3d045157
hex7508374a8

31415563432 has 96 divisors (see below), whose sum is σ = 67284207360. Its totient is φ = 13623552000.

The previous prime is 31415563411. The next prime is 31415563441. The reversal of 31415563432 is 23436551413.

It is a junction number, because it is equal to n+sod(n) for n = 31415563391 and 31415563400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14536432 + ... + 14538592.

It is an arithmetic number, because the mean of its divisors is an integer number (700877160).

Almost surely, 231415563432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31415563432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33642103680).

31415563432 is an abundant number, since it is smaller than the sum of its proper divisors (35868643928).

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

31415563432 is a wasteful number, since it uses less digits than its factorization.

31415563432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2278 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The spelling of 31415563432 in words is "thirty-one billion, four hundred fifteen million, five hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 73 88 124 146 248 292 341 584 682 803 1364 1606 2161 2263 2728 3212 4322 4526 5329 6424 8644 9052 10658 17288 18104 21316 23771 24893 42632 47542 49786 58619 66991 95084 99572 117238 133982 157753 165199 190168 199144 234476 267964 315506 330398 468952 535928 631012 660796 736901 1262024 1321592 1473802 1735283 1817189 2947604 3470566 3634378 4890343 5895208 6941132 7268756 9780686 11515969 13882264 14537512 19561372 23031938 39122744 46063876 53793773 92127752 107587546 126675659 215175092 253351318 356995039 430350184 506702636 713990078 1013405272 1427980156 2855960312 3926945429 7853890858 15707781716 31415563432