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142969400760 = 23351398571307
BaseRepresentation
bin1000010100100110100…
…0111110110110111000
3111200000210011001211010
42011021220332312320
54320300131311020
6145402414233520
713220625566244
oct2051150766670
9450023131733
10142969400760
11556a655495a
12238601b58a0
1310635b21874
146cc3b4b424
153abb76dde0
hex2149a3edb8

142969400760 has 64 divisors (see below), whose sum is σ = 431993923200. Its totient is φ = 37850887296.

The previous prime is 142969400759. The next prime is 142969400921. The reversal of 142969400760 is 67004969241.

It is a happy number.

142969400760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4268974 + ... + 4302333.

It is an arithmetic number, because the mean of its divisors is an integer number (6749905050).

Almost surely, 2142969400760 is an apocalyptic number.

142969400760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142969400760 is an abundant number, since it is smaller than the sum of its proper divisors (289024522440).

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

142969400760 is a wasteful number, since it uses less digits than its factorization.

142969400760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571460 (or 8571456 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 142969400760 in words is "one hundred forty-two billion, nine hundred sixty-nine million, four hundred thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 8571307 17142614 25713921 34285228 42856535 51427842 68570456 85713070 102855684 128569605 171426140 205711368 257139210 342852280 514278420 1028556840 1191411673 2382823346 3574235019 4765646692 5957058365 7148470038 9531293384 11914116730 14296940076 17871175095 23828233460 28593880152 35742350190 47656466920 71484700380 142969400760