Search a number
-
+
2342434342432 = 257110110319901
BaseRepresentation
bin100010000101100011111…
…101111000011000100000
322021221020021110211020111
4202011203331320120200
5301334301142424212
64552033253221104
7331143464250442
oct42054375703040
98257207424214
102342434342432
1182346a134678
12319b90631794
1313cb76896832
14815355dc492
1540deac2eea7
hex22163f78620

2342434342432 has 96 divisors (see below), whose sum is σ = 4727982244608. Its totient is φ = 1142064000000.

The previous prime is 2342434342411. The next prime is 2342434342441.

2342434342432 is nontrivially palindromic in base 10.

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, 236580682 + ... + 236590582.

It is an arithmetic number, because the mean of its divisors is an integer number (49249815048).

Almost surely, 22342434342432 is an apocalyptic number.

It is an amenable number.

2342434342432 is an abundant number, since it is smaller than the sum of its proper divisors (2385547902176).

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

2342434342432 is a wasteful number, since it uses less digits than its factorization.

2342434342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114 (or 11106 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 40.

The spelling of 2342434342432 in words is "two trillion, three hundred forty-two billion, four hundred thirty-four million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 71 101 142 202 284 404 568 808 1031 1136 1616 2062 2272 3232 4124 7171 8248 9901 14342 16496 19802 28684 32992 39604 57368 73201 79208 104131 114736 146402 158416 208262 229472 292804 316832 416524 585608 702971 833048 1000001 1171216 1405942 1666096 2000002 2342432 2811884 3332192 4000004 5623768 7393301 8000008 10207931 11247536 14786602 16000016 20415862 22495072 29573204 32000032 40831724 59146408 71000071 81663448 118292816 142000142 163326896 236585632 284000284 326653792 568000568 724763101 1031001031 1136001136 1449526202 2062002062 2272002272 2899052404 4124004124 5798104808 8248008248 11596209616 16496016496 23192419232 32992032992 73201073201 146402146402 292804292804 585608585608 1171217171216 2342434342432