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2142577014 = 231729224977
BaseRepresentation
bin111111110110101…
…0010000101110110
312112022122012010020
41333231102011312
513341444431024
6552334510010
7104044414134
oct17755220566
95468565106
102142577014
119aa479906
124b9665306
13281b77666
141647b0754
15c8177979
hex7fb52176

2142577014 has 48 divisors (see below), whose sum is σ = 4699261008. Its totient is φ = 648976384.

The previous prime is 2142577013. The next prime is 2142577027. The reversal of 2142577014 is 4107752412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142577013) 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 23 ways as a sum of consecutive naturals, for example, 73294 + ... + 98270.

It is an arithmetic number, because the mean of its divisors is an integer number (97901271).

Almost surely, 22142577014 is an apocalyptic number.

2142577014 is an abundant number, since it is smaller than the sum of its proper divisors (2556683994).

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

2142577014 is a wasteful number, since it uses less digits than its factorization.

2142577014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25057 (or 25028 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2142577014 is about 46287.9791522594. The cubic root of 2142577014 is about 1289.1758078836.

The spelling of 2142577014 in words is "two billion, one hundred forty-two million, five hundred seventy-seven thousand, fourteen".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 174 493 841 986 1479 1682 2523 2958 5046 14297 24977 28594 42891 49954 74931 85782 149862 424609 724333 849218 1273827 1448666 2172999 2547654 4345998 12313661 21005657 24627322 36940983 42011314 63016971 73881966 126033942 357096169 714192338 1071288507 2142577014