Search a number
-
+
432200141002234 = 211223269288661871
BaseRepresentation
bin110001001000101010110111…
…1111000000101010111111010
32002200021221002221102001210101
41202101111233320011113322
5423122131342044032414
64131114000451310014
7160015300254310063
oct14221255770052772
92080257087361711
10432200141002234
11115792061185800
12405833488ab30a
13157213b580bab7
1478a285418b56a
1534e77b690ca74
hex189156fe055fa

432200141002234 has 48 divisors (see below), whose sum is σ = 746341043293440. Its totient is φ = 187214542407200.

The previous prime is 432200141002181. The next prime is 432200141002277.

432200141002234 is nontrivially palindromic in base 10.

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, 142833682 + ... + 145828189.

It is an arithmetic number, because the mean of its divisors is an integer number (15548771735280).

Almost surely, 2432200141002234 is an apocalyptic number.

432200141002234 is a deficient number, since it is larger than the sum of its proper divisors (314140902291206).

432200141002234 is a wasteful number, since it uses less digits than its factorization.

432200141002234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288662187 (or 288662176 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 432200141002234 in words is "four hundred thirty-two trillion, two hundred billion, one hundred forty-one million, two thousand, two hundred thirty-four".

Divisors: 1 2 11 22 23 46 121 242 253 269 506 538 2783 2959 5566 5918 6187 12374 32549 65098 68057 136114 748627 1497254 288661871 577323742 3175280581 6350561162 6639223033 13278446066 34928086391 69856172782 73031453363 77650043299 146062906726 155300086598 803345986993 854150476289 1606691973986 1708300952578 1785950995877 3571901991754 9395655239179 18791310478358 19645460954647 39290921909294 216100070501117 432200141002234