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23414366341432 = 23112977271187383
BaseRepresentation
bin1010101001011100101001…
…11111010000100100111000
310001220101120110002220122101
411110232110333100210320
511032110110240411212
6121444224510233144
74634426553043243
oct524562477204470
9101811513086571
1023414366341432
117507a82430060
122761a3bab57b4
13100ac71919101
145ad39331225a
152a90dc36c157
hex154b94fd0938

23414366341432 has 64 divisors (see below), whose sum is σ = 49550959180800. Its totient is φ = 10274558931840.

The previous prime is 23414366341427. The next prime is 23414366341469.

23414366341432 is nontrivially palindromic in base 10.

It is a congruent number.

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, 19125613 + ... + 20312995.

It is an arithmetic number, because the mean of its divisors is an integer number (774233737200).

Almost surely, 223414366341432 is an apocalyptic number.

23414366341432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23414366341432 is an abundant number, since it is smaller than the sum of its proper divisors (26136592839368).

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

23414366341432 is a wasteful number, since it uses less digits than its factorization.

23414366341432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195156 (or 1195152 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

It can be divided in two parts, 2341436 and 6341432, that added together give a palindrome (8682868).

The spelling of 23414366341432 in words is "twenty-three trillion, four hundred fourteen billion, three hundred sixty-six million, three hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 7727 15454 30908 61816 84997 169994 224083 339988 448166 679976 896332 1187383 1792664 2374766 2464913 4749532 4929826 9499064 9859652 13061213 19719304 26122426 34434107 52244852 68868214 104489704 137736428 275472856 378775177 757550354 1515100708 3030201416 9174908441 18349816882 36699633764 73399267528 100923992851 201847985702 266072344789 403695971404 532144689578 807391942808 1064289379156 2128578758312 2926795792679 5853591585358 11707183170716 23414366341432