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132114442139984 = 24317116722464347
BaseRepresentation
bin11110000010100001001010…
…011001001011100101010000
3122022210000110121221012121002
4132002201022121023211100
5114304030334141434414
61144552311543121132
736553645015305443
oct3602411231134520
9568700417835532
10132114442139984
113910646940a697
12129987b74431a8
135894452712045
14248a531b9965a
1510418ee62d4de
hex78284a64b950

132114442139984 has 80 divisors (see below), whose sum is σ = 269554923380736. Its totient is φ = 62648568124800.

The previous prime is 132114442139983. The next prime is 132114442140017. The reversal of 132114442139984 is 489931244411231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114442139983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5351102 + ... + 17113245.

Almost surely, 2132114442139984 is an apocalyptic number.

It is an amenable number.

132114442139984 is an abundant number, since it is smaller than the sum of its proper divisors (137440481240752).

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

132114442139984 is a wasteful number, since it uses less digits than its factorization.

132114442139984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464624 (or 22464618 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 132114442139984 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-two million, one hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 71 124 142 167 248 284 334 496 568 668 1136 1336 2201 2672 4402 5177 8804 10354 11857 17608 20708 23714 35216 41416 47428 82832 94856 189712 367567 735134 1470268 2940536 5881072 22464347 44928694 89857388 179714776 359429552 696394757 1392789514 1594968637 2785579028 3189937274 3751545949 5571158056 6379874548 7503091898 11142316112 12759749096 15006183796 25519498192 30012367592 49444027747 60024735184 98888055494 116297924419 197776110988 232595848838 266359762379 395552221976 465191697676 532719524758 791104443952 930383395352 1065439049516 1860766790704 2130878099032 4261756198064 8257152633749 16514305267498 33028610534996 66057221069992 132114442139984