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142200555840 = 2632573413511
BaseRepresentation
bin1000010001101111010…
…0000100100101000000
3111121001012102200212100
42010123310010211000
54312211320241330
6145154231230400
713162601532000
oct2043364044500
9447035380770
10142200555840
1155341563332
1223686818400
1310542759645
146c4d9b2000
153a73eed060
hex211bd04940

142200555840 has 672 divisors, whose sum is σ = 584469849600. Its totient is φ = 31701196800.

The previous prime is 142200555823. The next prime is 142200555841. The reversal of 142200555840 is 48555002241.

142200555840 is a `hidden beast` number, since 1 + 4 + 2 + 20 + 0 + 55 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142200555795 and 142200555804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142200555841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40499685 + ... + 40503195.

It is an arithmetic number, because the mean of its divisors is an integer number (869746800).

Almost surely, 2142200555840 is an apocalyptic number.

142200555840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142200555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292234924800).

142200555840 is an abundant number, since it is smaller than the sum of its proper divisors (442269293760).

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

142200555840 is a wasteful number, since it uses less digits than its factorization.

142200555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 142200555840 in words is "one hundred forty-two billion, two hundred million, five hundred fifty-five thousand, eight hundred forty".