Search a number
-
+
135046012224 = 26317359115249
BaseRepresentation
bin111110111000101011…
…1101001110101000000
3110220120120220020002110
41331301113221311000
54203033234342344
6142012252415320
712520365110154
oct1756127516500
9426516806073
10135046012224
11522aaa53872
122220a777540
13c972423696
146771707064
1537a5d583b9
hex1f715e9d40

135046012224 has 112 divisors (see below), whose sum is σ = 379384560000. Its totient is φ = 42248994816.

The previous prime is 135046012217. The next prime is 135046012237. The reversal of 135046012224 is 422210640531.

It is a junction number, because it is equal to n+sod(n) for n = 135046012191 and 135046012200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114152 + ... + 1229400.

Almost surely, 2135046012224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135046012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189692280000).

135046012224 is an abundant number, since it is smaller than the sum of its proper divisors (244338547776).

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

135046012224 is a wasteful number, since it uses less digits than its factorization.

135046012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115640 (or 115630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 135046012224 its reverse (422210640531), we get a palindrome (557256652755).

The spelling of 135046012224 in words is "one hundred thirty-five billion, forty-six million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 359 408 544 718 816 1077 1088 1436 1632 2154 2872 3264 4308 5744 6103 8616 11488 12206 17232 18309 22976 24412 34464 36618 48824 68928 73236 97648 115249 146472 195296 230498 292944 345747 390592 460996 585888 691494 921992 1171776 1382988 1843984 1959233 2765976 3687968 3918466 5531952 5877699 7375936 7836932 11063904 11755398 15673864 22127808 23510796 31347728 41374391 47021592 62695456 82748782 94043184 124123173 125390912 165497564 188086368 248246346 330995128 376172736 496492692 661990256 703364647 992985384 1323980512 1406729294 1985970768 2110093941 2647961024 2813458588 3971941536 4220187882 5626917176 7943883072 8440375764 11253834352 16880751528 22507668704 33761503056 45015337408 67523006112 135046012224