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132144351404034 = 23411307410996297
BaseRepresentation
bin11110000010111101000001…
…000111111110000000000010
3122022212212200001111020122110
4132002331001013332000002
5114310023112424412114
61145014135454320150
736556054133665134
oct3602750107760002
9568785601436573
10132144351404034
113911811740a432
12129a2563ab9056
13589720b058218
14248bb6c145054
1510425a02d2759
hex782f411fe002

132144351404034 has 32 divisors (see below), whose sum is σ = 270941911523136. Its totient is φ = 42940893006080.

The previous prime is 132144351404003. The next prime is 132144351404053. The reversal of 132144351404034 is 430404153441231.

It is a happy number.

It is a super-3 number, since 3×1321443514040343 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 132144351403983 and 132144351404001.

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, 205176627 + ... + 205819670.

It is an arithmetic number, because the mean of its divisors is an integer number (8466934735098).

Almost surely, 2132144351404034 is an apocalyptic number.

132144351404034 is an abundant number, since it is smaller than the sum of its proper divisors (138797560119102).

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

132144351404034 is a wasteful number, since it uses less digits than its factorization.

132144351404034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410997650.

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 132144351404034 in words is "one hundred thirty-two trillion, one hundred forty-four billion, three hundred fifty-one million, four hundred four thousand, thirty-four".

Divisors: 1 2 3 6 41 82 123 246 1307 2614 3921 7842 53587 107174 160761 321522 410996297 821992594 1232988891 2465977782 16850848177 33701696354 50552544531 101105089062 537172160179 1074344320358 1611516480537 3223032961074 22024058567339 44048117134678 66072175702017 132144351404034