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31414021416 = 23322383183091
BaseRepresentation
bin11101010000011010…
…111110110100101000
310000002022000122002200
4131100122332310220
51003313442141131
622233103300200
72161316530161
oct352032766450
9100068018080
1031414021416
111236043a278
1261085aa660
132c6831296b
14174016a768
15c3cd3d2e6
hex7506bed28

31414021416 has 48 divisors (see below), whose sum is σ = 85115808960. Its totient is φ = 10466889120.

The previous prime is 31414021409. The next prime is 31414021423. The reversal of 31414021416 is 61412041413.

31414021416 is a `hidden beast` number, since 31 + 414 + 0 + 214 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (31414021409) and next prime (31414021423).

It is a self number, because there is not a number n which added to its sum of digits gives 31414021416.

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, 80031 + ... + 263121.

It is an arithmetic number, because the mean of its divisors is an integer number (1773246020).

Almost surely, 231414021416 is an apocalyptic number.

31414021416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31414021416 is an abundant number, since it is smaller than the sum of its proper divisors (53701787544).

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

31414021416 is a wasteful number, since it uses less digits than its factorization.

31414021416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185486 (or 185479 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 31414021416 its reverse (61412041413), we get a palindrome (92826062829).

The spelling of 31414021416 in words is "thirty-one billion, four hundred fourteen million, twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2383 4766 7149 9532 14298 19064 21447 28596 42894 57192 85788 171576 183091 366182 549273 732364 1098546 1464728 1647819 2197092 3295638 4394184 6591276 13182552 436305853 872611706 1308917559 1745223412 2617835118 3490446824 3926752677 5235670236 7853505354 10471340472 15707010708 31414021416