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31432410420 = 22352383274423
BaseRepresentation
bin11101010001100001…
…001000010100110100
310000010120121220001220
4131101201020110310
51003333144113140
622235001350340
72161632036345
oct352141102464
9100116556056
1031432410420
111236a85a1a4
1261127983b0
132c6c080a28
1417427960cc
15c3e771bd0
hex751848534

31432410420 has 96 divisors (see below), whose sum is σ = 92944115712. Its totient is φ = 7920916608.

The previous prime is 31432410419. The next prime is 31432410433. The reversal of 31432410420 is 2401423413.

It is a super-2 number, since 2×314324104202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22672 + ... + 251751.

It is an arithmetic number, because the mean of its divisors is an integer number (968167872).

Almost surely, 231432410420 is an apocalyptic number.

31432410420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31432410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472057856).

31432410420 is an abundant number, since it is smaller than the sum of its proper divisors (61511705292).

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

31432410420 is a wasteful number, since it uses less digits than its factorization.

31432410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274541 (or 274539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31432410420 its reverse (2401423413), we get a palindrome (33833833833).

The spelling of 31432410420 in words is "thirty-one billion, four hundred thirty-two million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 83 92 115 138 166 230 249 276 332 345 415 460 498 690 830 996 1245 1380 1660 1909 2490 3818 4980 5727 7636 9545 11454 19090 22908 28635 38180 57270 114540 274423 548846 823269 1097692 1372115 1646538 2744230 3293076 4116345 5488460 6311729 8232690 12623458 16465380 18935187 22777109 25246916 31558645 37870374 45554218 63117290 68331327 75740748 91108436 94675935 113885545 126234580 136662654 189351870 227771090 273325308 341656635 378703740 455542180 523873507 683313270 1047747014 1366626540 1571620521 2095494028 2619367535 3143241042 5238735070 6286482084 7858102605 10477470140 15716205210 31432410420