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31275203040 = 2532521718891
BaseRepresentation
bin11101001000001001…
…011011100111100000
32222201121210221002100
4131020021123213200
51003022422444130
622211224050400
72155012560654
oct351011334740
988647727070
1031275203040
111229a044a44
12608a003a00
132c4562a403
141729952a64
15c30a6bc60
hex74825b9e0

31275203040 has 72 divisors (see below), whose sum is σ = 106726635288. Its totient is φ = 8340053760.

The previous prime is 31275203039. The next prime is 31275203087. The reversal of 31275203040 is 4030257213.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 31275202995 and 31275203013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10858006 + ... + 10860885.

It is an arithmetic number, because the mean of its divisors is an integer number (1482314379).

Almost surely, 231275203040 is an apocalyptic number.

31275203040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31275203040 is an abundant number, since it is smaller than the sum of its proper divisors (75451432248).

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

31275203040 is a wasteful number, since it uses less digits than its factorization.

31275203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21718912 (or 21718901 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 31275203040 in words is "thirty-one billion, two hundred seventy-five million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 21718891 43437782 65156673 86875564 108594455 130313346 173751128 195470019 217188910 260626692 325783365 347502256 390940038 434377820 521253384 651566730 695004512 781880076 868755640 977350095 1042506768 1303133460 1563760152 1737511280 1954700190 2085013536 2606266920 3127520304 3475022560 3909400380 5212533840 6255040608 7818800760 10425067680 15637601520 31275203040