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142855151040 = 263557192727
BaseRepresentation
bin1000010100001011010…
…1001001110111000000
3111122201211011120200000
42011002311021313000
54320031404313130
6145343213400000
713215040514550
oct2050265116700
9448654146600
10142855151040
11556480103a8
1223829a99000
131061825c094
146cb28cb160
153ab1702260
hex2142d49dc0

142855151040 has 1008 divisors, whose sum is σ = 615464059392. Its totient is φ = 30891497472.

The previous prime is 142855151017. The next prime is 142855151093. The reversal of 142855151040 is 40151558241.

142855151040 is a `hidden beast` number, since 14 + 2 + 8 + 551 + 51 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1428551510402 (a number of 23 digits) contains 22 as substring.

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 = 142855150986 and 142855151004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196499157 + ... + 196499883.

It is an arithmetic number, because the mean of its divisors is an integer number (610579424).

Almost surely, 2142855151040 is an apocalyptic number.

142855151040 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 142855151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307732029696).

142855151040 is an abundant number, since it is smaller than the sum of its proper divisors (472608908352).

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

142855151040 is an equidigital number, since it uses as much as digits as its factorization.

142855151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 142855151040 in words is "one hundred forty-two billion, eight hundred fifty-five million, one hundred fifty-one thousand, forty".