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31419071190 = 232513241111427
BaseRepresentation
bin11101010000101110…
…001111101011010110
310000002122112012002100
4131100232033223112
51003321240234230
622233403422530
72161410461433
oct352056175326
9100078465070
1031419071190
1112363279241
12610a224a46
132c693902b0
141740ac2b8a
15c3d4d9660
hex750b8fad6

31419071190 has 96 divisors (see below), whose sum is σ = 88339226976. Its totient is φ = 7701765120.

The previous prime is 31419071161. The next prime is 31419071191. The reversal of 31419071190 is 9117091413.

31419071190 is a `hidden beast` number, since 314 + 1 + 90 + 71 + 190 = 666.

It is a super-2 number, since 2×314190711902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31419071191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 226257 + ... + 337683.

It is an arithmetic number, because the mean of its divisors is an integer number (920200281).

Almost surely, 231419071190 is an apocalyptic number.

31419071190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31419071190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44169613488).

31419071190 is an abundant number, since it is smaller than the sum of its proper divisors (56920155786).

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

31419071190 is a wasteful number, since it uses less digits than its factorization.

31419071190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111694 (or 111691 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 31419071190 in words is "thirty-one billion, four hundred nineteen million, seventy-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 241 390 482 585 723 1170 1205 1446 2169 2410 3133 3615 4338 6266 7230 9399 10845 15665 18798 21690 28197 31330 46995 56394 93990 111427 140985 222854 281970 334281 557135 668562 1002843 1114270 1448551 1671405 2005686 2897102 3342810 4345653 5014215 7242755 8691306 10028430 13036959 14485510 21728265 26073918 26853907 43456530 53707814 65184795 80561721 130369590 134269535 161123442 241685163 268539070 349100791 402808605 483370326 698201582 805617210 1047302373 1208425815 1745503955 2094604746 2416851630 3141907119 3491007910 5236511865 6283814238 10473023730 15709535595 31419071190