Search a number
-
+
31041001314 = 23261280110093
BaseRepresentation
bin11100111010001100…
…000001011101100010
32222010022010020201100
4130322030001131202
51002032444020224
622132100215230
72146140105051
oct347214013542
988108106640
1031041001314
11121899217a4
12602369a516
132c08c597cb
1417067ca398
15c1a208ac9
hex73a301762

31041001314 has 48 divisors (see below), whose sum is σ = 68389232184. Its totient is φ = 10172736000.

The previous prime is 31041001289. The next prime is 31041001349. The reversal of 31041001314 is 41310014013.

31041001314 is a `hidden beast` number, since 310 + 41 + 0 + 0 + 1 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18623242089 + 12417759225 = 136467^2 + 111435^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3070452 + ... + 3080544.

Almost surely, 231041001314 is an apocalyptic number.

31041001314 is an abundant number, since it is smaller than the sum of its proper divisors (37348230870).

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

31041001314 is a wasteful number, since it uses less digits than its factorization.

31041001314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31041001314 its reverse (41310014013), we get a palindrome (72351015327).

The spelling of 31041001314 in words is "thirty-one billion, forty-one million, one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 2801 5602 8403 10093 16806 20186 25209 30279 50418 60558 90837 170861 181674 341722 512583 615673 1025166 1231346 1537749 1847019 3075498 3694038 5541057 11082114 28270493 56540986 84811479 169622958 254434437 508868874 1724500073 3449000146 5173500219 10347000438 15520500657 31041001314