Search a number
-
+
110132525265344 = 2619829109251521
BaseRepresentation
bin11001000010101000111010…
…000010111111000111000000
3112102221120022001012210112222
4121002220322002333013000
5103413402402431442334
61030122103400110212
732124545433631541
oct3102507202770700
9472846261183488
10110132525265344
1132100a3a3aa57a
1210428507a65368
13495b5b63b032a
141d2a62a9564c8
15caebee0e2d2e
hex642a3a0bf1c0

110132525265344 has 56 divisors (see below), whose sum is σ = 230324058680400. Its totient is φ = 52105108930560.

The previous prime is 110132525265281. The next prime is 110132525265359. The reversal of 110132525265344 is 443562525231011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110132525265295 and 110132525265304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53617697 + ... + 55633824.

Almost surely, 2110132525265344 is an apocalyptic number.

It is an amenable number.

110132525265344 is an abundant number, since it is smaller than the sum of its proper divisors (120191533415056).

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

110132525265344 is a wasteful number, since it uses less digits than its factorization.

110132525265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109252381 (or 109252371 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 110132525265344 in words is "one hundred ten trillion, one hundred thirty-two billion, five hundred twenty-five million, two hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 829 1216 1658 3316 6632 13264 15751 26528 31502 53056 63004 126008 252016 504032 1008064 109251521 218503042 437006084 874012168 1748024336 2075778899 3496048672 4151557798 6992097344 8303115596 16606231192 33212462384 66424924768 90569510909 132849849536 181139021818 362278043636 724556087272 1449112174544 1720820707271 2898224349088 3441641414542 5796448698176 6883282829084 13766565658168 27533131316336 55066262632672 110132525265344