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142131044132 = 227115971110161
BaseRepresentation
bin1000010001011110101…
…0111001111100100100
3111120212100122010201122
42010113222321330210
54312041021403012
6145143305313112
713161065640650
oct2042752717444
9446770563648
10142131044132
11553062a6140
1223667495798
131053122c15c
146c44679a60
153a6cd6be72
hex2117ab9f24

142131044132 has 96 divisors (see below), whose sum is σ = 319804692480. Its totient is φ = 53669952000.

The previous prime is 142131044129. The next prime is 142131044141. The reversal of 142131044132 is 231440131241.

142131044132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1235132 + ... + 1345292.

It is an arithmetic number, because the mean of its divisors is an integer number (3331298880).

Almost surely, 2142131044132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142131044132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159902346240).

142131044132 is an abundant number, since it is smaller than the sum of its proper divisors (177673648348).

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

142131044132 is a wasteful number, since it uses less digits than its factorization.

142131044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110313 (or 110311 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 142131044132 its reverse (231440131241), we get a palindrome (373571175373).

The spelling of 142131044132 in words is "one hundred forty-two billion, one hundred thirty-one million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 59 71 77 118 142 154 236 284 308 413 497 649 781 826 994 1298 1562 1652 1988 2596 3124 4189 4543 5467 8378 9086 10934 16756 18172 21868 29323 46079 58646 92158 110161 117292 184316 220322 322553 440644 645106 771127 1211771 1290212 1542254 2423542 3084508 4847084 6499499 7821431 8482397 12998998 15642862 16964794 25997996 31285724 33929588 45496493 54750017 71494489 86035741 90992986 109500034 142988978 172071482 181985972 219000068 285977956 344142964 461464429 500461423 602250187 922928858 1000922846 1204500374 1845857716 2001845692 2409000748 3230251003 5076108719 6460502006 10152217438 12921004012 20304434876 35532761033 71065522066 142131044132