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132114141323032 = 231115137811262949
BaseRepresentation
bin11110000010100000111000…
…011101101001111100011000
3122022202222200122220010022111
4132002200320131221330120
5114304024230134314112
61144552222035402104
736553634403354211
oct3602407035517430
9568688618803274
10132114141323032
1139106324628440
1212998732753334
1358944052b944b
14248a503c52408
1510418d300c5a7
hex782838769f18

132114141323032 has 64 divisors (see below), whose sum is σ = 272031325344000. Its totient is φ = 59652383280000.

The previous prime is 132114141323027. The next prime is 132114141323057. The reversal of 132114141323032 is 230323141411231.

It is a junction number, because it is equal to n+sod(n) for n = 132114141322985 and 132114141323003.

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, 502301094 + ... + 502564042.

It is an arithmetic number, because the mean of its divisors is an integer number (4250489458500).

Almost surely, 2132114141323032 is an apocalyptic number.

It is an amenable number.

132114141323032 is an abundant number, since it is smaller than the sum of its proper divisors (139917184020968).

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

132114141323032 is a wasteful number, since it uses less digits than its factorization.

132114141323032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300928 (or 300924 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 132114141323032 its reverse (230323141411231), we get a palindrome (362437282734263).

The spelling of 132114141323032 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred forty-one million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 3322 6644 13288 37811 75622 151244 262949 302488 415921 525898 831842 1051796 1663684 2103592 2892439 3327368 5709461 5784878 11418922 11569756 22837844 23139512 39705299 45675688 62804071 79410598 125608142 158821196 251216284 317642392 436758289 502432568 873516578 1747033156 3494066312 9942364639 19884729278 39769458556 79538917112 109366011029 218732022058 437464044116 874928088232 1501297060489 3002594120978 6005188241956 12010376483912 16514267665379 33028535330758 66057070661516 132114141323032