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132021014314320 = 24325183362519881
BaseRepresentation
bin11110000001001010001001…
…101010010011110101010000
3122022110002022110222220122200
4132001022021222103311100
5114301013014131024240
61144441341112403200
736544126544013165
oct3601121152236520
9568402273886580
10132021014314320
113907a88588842a
12129826826a6500
1358886b36a3871
142485bcb92a06c
15103e28239e930
hex781289a93d50

132021014314320 has 60 divisors (see below), whose sum is σ = 443370573074676. Its totient is φ = 35205603816960.

The previous prime is 132021014314309. The next prime is 132021014314339. The reversal of 132021014314320 is 23413410120231.

132021014314320 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 10 + 14 + 314 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103702694636304 + 28318319678016 = 10183452^2 + 5321496^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91681259221 + ... + 91681260660.

Almost surely, 2132021014314320 is an apocalyptic number.

132021014314320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132021014314320 is an abundant number, since it is smaller than the sum of its proper divisors (311349558760356).

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

132021014314320 is a wasteful number, since it uses less digits than its factorization.

132021014314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183362519900 (or 183362519891 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132021014314320 its reverse (23413410120231), we get a palindrome (155434424434551).

The spelling of 132021014314320 in words is "one hundred thirty-two trillion, twenty-one billion, fourteen million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 183362519881 366725039762 550087559643 733450079524 916812599405 1100175119286 1466900159048 1650262678929 1833625198810 2200350238572 2750437798215 2933800318096 3300525357858 3667250397620 4400700477144 5500875596430 6601050715716 7334500795240 8251313394645 8801400954288 11001751192860 13202101431432 14669001590480 16502626789290 22003502385720 26404202862864 33005253578580 44007004771440 66010507157160 132021014314320