Search a number
-
+
131327138736 = 243217371449911
BaseRepresentation
bin111101001001110110…
…1010001101110110000
3110112222102011212201100
41322103231101232300
54122424221414421
6140155244204400
712326260155333
oct1722355215660
9415872155640
10131327138736
1150771823102
1221551239700
13c4cbb22321
1464db85261a
153639614c26
hex1e93b51bb0

131327138736 has 120 divisors (see below), whose sum is σ = 399671142624. Its totient is φ = 40087111680.

The previous prime is 131327138729. The next prime is 131327138771. The reversal of 131327138736 is 637831723131.

131327138736 is a `hidden beast` number, since 1 + 313 + 271 + 38 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131327138691 and 131327138700.

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, 634380 + ... + 815531.

Almost surely, 2131327138736 is an apocalyptic number.

131327138736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131327138736 is an abundant number, since it is smaller than the sum of its proper divisors (268344003888).

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

131327138736 is a wasteful number, since it uses less digits than its factorization.

131327138736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449979 (or 1449970 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 131327138736 in words is "one hundred thirty-one billion, three hundred twenty-seven million, one hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 272 296 306 333 408 444 592 612 629 666 816 888 1224 1258 1332 1776 1887 2448 2516 2664 3774 5032 5328 5661 7548 10064 11322 15096 22644 30192 45288 90576 1449911 2899822 4349733 5799644 8699466 11599288 13049199 17398932 23198576 24648487 26098398 34797864 49296974 52196796 53646707 69595728 73945461 98593948 104393592 107293414 147890922 160940121 197187896 208787184 214586828 221836383 295781844 321880242 394375792 429173656 443672766 482820363 591563688 643760484 858347312 887345532 911994019 965640726 1183127376 1287520968 1774691064 1823988038 1931281452 2575041936 2735982057 3549382128 3647976076 3862562904 5471964114 7295952152 7725125808 8207946171 10943928228 14591904304 16415892342 21887856456 32831784684 43775712912 65663569368 131327138736