Search a number
-
+
408311121372 = 223721163127879
BaseRepresentation
bin1011111000100010011…
…11010100010111011100
31110000220220102002011220
411330101033110113130
523142210121340442
6511324152213340
741333221160400
oct5742117242734
91400826362156
10408311121372
11148188a8a950
126717269a250
132c67147433b
1415a95cd7100
15a94b39ceec
hex5f113d45dc

408311121372 has 72 divisors (see below), whose sum is σ = 1209025157760. Its totient is φ = 106054835040.

The previous prime is 408311121319. The next prime is 408311121479. The reversal of 408311121372 is 273121113804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 31557472 + ... + 31570407.

It is an arithmetic number, because the mean of its divisors is an integer number (16792016080).

Almost surely, 2408311121372 is an apocalyptic number.

408311121372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

408311121372 is an abundant number, since it is smaller than the sum of its proper divisors (800714036388).

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

408311121372 is a wasteful number, since it uses less digits than its factorization.

408311121372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63127911 (or 63127902 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 408311121372 in words is "four hundred eight billion, three hundred eleven million, one hundred twenty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 63127879 126255758 189383637 252511516 378767274 441895153 694406669 757534548 883790306 1325685459 1388813338 1767580612 2083220007 2651370918 2777626676 3093266071 4166440014 4860846683 5302741836 6186532142 8332880028 9279798213 9721693366 12373064284 14582540049 18559596426 19443386732 29165080098 34025926781 37119192852 58330160196 68051853562 102077780343 136103707124 204155560686 408311121372