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31425519120 = 2435691189493
BaseRepresentation
bin11101010001000110…
…110101111000010000
310000010002122202222120
4131101012311320100
51003324413102440
622234153534240
72161516335162
oct352106657020
9100102582876
1031425519120
1112366982706
126110414380
132c6a80a138
1417418c0932
15c3dd5edd0
hex7511b5e10

31425519120 has 80 divisors (see below), whose sum is σ = 97560606912. Its totient is φ = 8367966720.

The previous prime is 31425519109. The next prime is 31425519127. The reversal of 31425519120 is 2191552413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×314255191202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31425519127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71094 + ... + 260586.

Almost surely, 231425519120 is an apocalyptic number.

31425519120 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 31425519120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48780303456).

31425519120 is an abundant number, since it is smaller than the sum of its proper divisors (66135087792).

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

31425519120 is a wasteful number, since it uses less digits than its factorization.

31425519120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190200 (or 190194 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 31425519120 in words is "thirty-one billion, four hundred twenty-five million, five hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 691 1382 2073 2764 3455 4146 5528 6910 8292 10365 11056 13820 16584 20730 27640 33168 41460 55280 82920 165840 189493 378986 568479 757972 947465 1136958 1515944 1894930 2273916 2842395 3031888 3789860 4547832 5684790 7579720 9095664 11369580 15159440 22739160 45478320 130939663 261879326 392818989 523758652 654698315 785637978 1047517304 1309396630 1571275956 1964094945 2095034608 2618793260 3142551912 3928189890 5237586520 6285103824 7856379780 10475173040 15712759560 31425519120