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1142133411432 = 2331331118086581
BaseRepresentation
bin10000100111101100011…
…101001100111001101000
311001012001020111211112110
4100213230131030321220
5122203042123131212
62232404442442320
7145342062546516
oct20475435147150
94035036454473
101142133411432
11400415598682
1216542a2033a0
1383919b46360
143d3cb13b4b6
151ea998eea3c
hex109ec74ce68

1142133411432 has 64 divisors (see below), whose sum is σ = 3174167324160. Its totient is φ = 340089350400.

The previous prime is 1142133411383. The next prime is 1142133411473. The reversal of 1142133411432 is 2341143312411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1142133411432.

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, 59033619 + ... + 59052962.

It is an arithmetic number, because the mean of its divisors is an integer number (49596364440).

Almost surely, 21142133411432 is an apocalyptic number.

1142133411432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142133411432 is an abundant number, since it is smaller than the sum of its proper divisors (2032033912728).

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

1142133411432 is a wasteful number, since it uses less digits than its factorization.

1142133411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118086634 (or 118086630 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 1142133411432 its reverse (2341143312411), we get a palindrome (3483276723843).

The spelling of 1142133411432 in words is "one trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 118086581 236173162 354259743 472346324 708519486 944692648 1417038972 1535125553 2834077944 3070251106 3660684011 4605376659 6140502212 7321368022 9210753318 10982052033 12281004424 14642736044 18421506636 21964104066 29285472088 36843013272 43928208132 47588892143 87856416264 95177784286 142766676429 190355568572 285533352858 380711137144 571066705716 1142133411432