Search a number
-
+
114351452032344 = 23353356772519801
BaseRepresentation
bin11010000000000010000101…
…101011011000110101011000
3112222212220002022020120022220
4122000002011223120311120
5104442013233210013334
61043112155402344040
733041422403514462
oct3200020553306530
9488786068216286
10114351452032344
11334881a659953a
12109aa0b1abb020
134ba63ac734437
1420348d58cb132
15d34824e43449
hex680085ad8d58

114351452032344 has 64 divisors (see below), whose sum is σ = 291280846249440. Its totient is φ = 37396896076800.

The previous prime is 114351452032343. The next prime is 114351452032357. The reversal of 114351452032344 is 443230254153411.

It is a junction number, because it is equal to n+sod(n) for n = 114351452032296 and 114351452032305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114351452032343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44121244 + ... + 46641044.

Almost surely, 2114351452032344 is an apocalyptic number.

It is an amenable number.

114351452032344 is an abundant number, since it is smaller than the sum of its proper divisors (176929394217096).

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

114351452032344 is a wasteful number, since it uses less digits than its factorization.

114351452032344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555540 (or 2555536 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 114351452032344 in words is "one hundred fourteen trillion, three hundred fifty-one billion, four hundred fifty-two million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 35677 71354 107031 142708 214062 285416 428124 856248 1890881 2519801 3781762 5039602 5672643 7559403 7563524 10079204 11345286 15118806 15127048 20158408 22690572 30237612 45381144 60475224 133549453 267098906 400648359 534197812 801296718 1068395624 1602593436 3205186872 89898940277 179797880554 269696820831 359595761108 539393641662 719191522216 1078787283324 2157574566648 4764643834681 9529287669362 14293931504043 19058575338724 28587863008086 38117150677448 57175726016172 114351452032344