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142596252065280 = 2935132316158099
BaseRepresentation
bin100000011011000011000110…
…111100110101111000000000
3200200220001211222112122011110
4200123003012330311320000
5122142244111012042110
61223135451443043320
742015145025521566
oct4033030674657000
9620801758478143
10142596252065280
11414878048a5812
1213bb0138370540
1361749cc297300
14272d9a4363a36
1511743c82a2a20
hex81b0c6f35e00

142596252065280 has 960 divisors, whose sum is σ = 517911751526400. Its totient is φ = 33410904883200.

The previous prime is 142596252065251. The next prime is 142596252065317. The reversal of 142596252065280 is 82560252695241.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1425962520652802 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 142596252065280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2454337671 + ... + 2454395769.

It is an arithmetic number, because the mean of its divisors is an integer number (539491407840).

Almost surely, 2142596252065280 is an apocalyptic number.

142596252065280 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 142596252065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258955875763200).

142596252065280 is an abundant number, since it is smaller than the sum of its proper divisors (375315499461120).

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

142596252065280 is a wasteful number, since it uses less digits than its factorization.

142596252065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58243 (or 58214 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 142596252065280 in words is "one hundred forty-two trillion, five hundred ninety-six billion, two hundred fifty-two million, sixty-five thousand, two hundred eighty".