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132114420014232 = 23343190837670823
BaseRepresentation
bin11110000010100001001001…
…000100110001110010011000
3122022210000102002022002202210
4132002201021010301302120
5114304030313010423412
61144552305432555120
736553644326244045
oct3602411104616230
9568700362262683
10132114420014232
1139106457978247
12129987abb52aa0
13589444ac66196
14248a52cc7a1cc
1510418ec70c83c
hex782849131c98

132114420014232 has 64 divisors (see below), whose sum is σ = 337969395751680. Its totient is φ = 43013707696512.

The previous prime is 132114420014231. The next prime is 132114420014233. The reversal of 132114420014232 is 232410024411231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132114420014231) and next prime (132114420014233).

It is a self number, because there is not a number n which added to its sum of digits gives 132114420014232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114420014231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196608373 + ... + 197279195.

It is an arithmetic number, because the mean of its divisors is an integer number (5280771808620).

Almost surely, 2132114420014232 is an apocalyptic number.

132114420014232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132114420014232 is an abundant number, since it is smaller than the sum of its proper divisors (205854975737448).

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

132114420014232 is a wasteful number, since it uses less digits than its factorization.

132114420014232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861712 (or 861708 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 132114420014232 its reverse (232410024411231), we get a palindrome (364524444425463).

The spelling of 132114420014232 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred twenty million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 190837 381674 572511 670823 763348 1145022 1341646 1526696 2012469 2290044 2683292 4024938 4580088 5366584 8049876 8205991 16099752 16411982 24617973 28845389 32823964 49235946 57690778 65647928 86536167 98471892 115381556 173072334 196943784 230763112 346144668 692289336 128017848851 256035697702 384053546553 512071395404 768107093106 1024142790808 1536214186212 3072428372424 5504767500593 11009535001186 16514302501779 22019070002372 33028605003558 44038140004744 66057210007116 132114420014232