Search a number
-
+
232345515402541 = 1737423598720431
BaseRepresentation
bin110100110101000100100111…
…111010010010010100101101
31010110200000101110100201012101
4310311010213322102110231
5220423222103420340131
62142054020051535101
766640260320000152
oct6465044772222455
91113600343321171
10232345515402541
116803a1a8234042
122208614abba491
139c8511b6bac38
144153823876229
151bcdc902eec61
hexd35127e9252d

232345515402541 has 16 divisors (see below), whose sum is σ = 252667889671680. Its totient is φ = 212762864989440.

The previous prime is 232345515402431. The next prime is 232345515402571. The reversal of 232345515402541 is 145204515543232.

232345515402541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232345515402541 - 223 = 232345507013933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232345515402491 and 232345515402500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232345515402571) 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, 22283596 + ... + 31004026.

It is an arithmetic number, because the mean of its divisors is an integer number (15791743104480).

Almost surely, 2232345515402541 is an apocalyptic number.

It is an amenable number.

232345515402541 is a deficient number, since it is larger than the sum of its proper divisors (20322374269139).

232345515402541 is a wasteful number, since it uses less digits than its factorization.

232345515402541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762844.

The product of its (nonzero) digits is 2880000, while the sum is 46.

The spelling of 232345515402541 in words is "two hundred thirty-two trillion, three hundred forty-five billion, five hundred fifteen million, four hundred two thousand, five hundred forty-one".

Divisors: 1 17 37 629 42359 720103 1567283 8720431 26643811 148247327 322655947 5485151099 369388736729 6279608524393 13667383258973 232345515402541