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142032415672 = 23721713721143
BaseRepresentation
bin1000010001000111001…
…0101010101110111000
3111120121111001021220201
42010101302222232320
54311340244300142
6145125423331544
713155460420300
oct2042162525670
9446544037821
10142032415672
1155265661114
122363a450bb4
1310516978a14
146c35524600
153a64388ab7
hex2111caabb8

142032415672 has 48 divisors (see below), whose sum is σ = 309822820560. Its totient is φ = 60864604416.

The previous prime is 142032415561. The next prime is 142032415673. The reversal of 142032415672 is 276514230241.

It is a super-3 number, since 3×1420324156723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142032415673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6707133 + ... + 6728275.

It is an arithmetic number, because the mean of its divisors is an integer number (6454642095).

Almost surely, 2142032415672 is an apocalyptic number.

It is an amenable number.

142032415672 is an abundant number, since it is smaller than the sum of its proper divisors (167790404888).

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

142032415672 is a wasteful number, since it uses less digits than its factorization.

142032415672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38300 (or 38289 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 142032415672 in words is "one hundred forty-two billion, thirty-two million, four hundred fifteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 17137 21143 34274 42286 68548 84572 119959 137096 148001 169144 239918 296002 479836 592004 839713 959672 1036007 1184008 1679426 2072014 3358852 4144028 6717704 8288056 362327591 724655182 1449310364 2536293137 2898620728 5072586274 10145172548 17754051959 20290345096 35508103918 71016207836 142032415672