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2132442442312 = 2371323891226111
BaseRepresentation
bin11111000001111111011…
…110010110101001001000
321112212012120200000120021
4133001333132112221020
5234414220231123222
64311344110110224
7310030624455340
oct37017736265110
97485176600507
102132442442312
11752400190a86
122a53467ab374
1312611c464c30
14752d44a5d20
153a70a49cac7
hex1f07f796a48

2132442442312 has 64 divisors (see below), whose sum is σ = 4923084902400. Its totient is φ = 843249795840.

The previous prime is 2132442442309. The next prime is 2132442442321.

2132442442312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126137 + ... + 2352247.

It is an arithmetic number, because the mean of its divisors is an integer number (76923201600).

Almost surely, 22132442442312 is an apocalyptic number.

It is an amenable number.

2132442442312 is an abundant number, since it is smaller than the sum of its proper divisors (2790642460088).

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

2132442442312 is a wasteful number, since it uses less digits than its factorization.

2132442442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228526 (or 1228522 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 2132442442312 in words is "two trillion, one hundred thirty-two billion, four hundred forty-two million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 2389 4778 9556 16723 19112 31057 33446 62114 66892 124228 133784 217399 248456 434798 869596 1226111 1739192 2452222 4904444 8582777 9808888 15939443 17165554 31878886 34331108 63757772 68662216 111576101 127515544 223152202 446304404 892608808 2929179179 5858358358 11716716716 20504254253 23433433432 38079329327 41008508506 76158658654 82017017012 152317317308 164034034024 266555305289 304634634616 533110610578 1066221221156 2132442442312