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142268645151360 = 2736571321115881
BaseRepresentation
bin100000010110010010000000…
…000011101001001010000000
3200122201202020111100002000000
4200112102000003221022000
5122121412141124320420
61222325151402000000
741652366436636560
oct4026220003511200
9618652214302000
10142268645151360
1141370880285482
1213b587494a6000
13614cb4cb0b2a0
14271bba6956da0
15116ab02127690
hex8164800e9280

142268645151360 has 1792 divisors, whose sum is σ = 630624251416320. Its totient is φ = 29872978329600.

The previous prime is 142268645151359. The next prime is 142268645151397. The reversal of 142268645151360 is 63151546862241.

142268645151360 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 6 + 8 + 64 + 5 + 1 + 513 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 142268645151297 and 142268645151306.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 8958410620 + ... + 8958426500.

It is an arithmetic number, because the mean of its divisors is an integer number (351910854585).

Almost surely, 2142268645151360 is an apocalyptic number.

142268645151360 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 142268645151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315312125708160).

142268645151360 is an abundant number, since it is smaller than the sum of its proper divisors (488355606264960).

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

142268645151360 is a wasteful number, since it uses less digits than its factorization.

142268645151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 142268645151360 in words is "one hundred forty-two trillion, two hundred sixty-eight billion, six hundred forty-five million, one hundred fifty-one thousand, three hundred sixty".