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142241651654560 = 255173471024314713
BaseRepresentation
bin100000010101111000110111…
…000111100111111110100000
3200122122011120021022100200021
4200111320313013213332200
5122120441400310421220
61222304525045403224
741650422505000303
oct4025706707477640
9618564507270607
10142241651654560
1141360389143837
1213b53475409514
13614a43a596783
14271a765928b3a
15116a0724294aa
hex815e371e7fa0

142241651654560 has 192 divisors, whose sum is σ = 356897799603072. Its totient is φ = 53386634428416.

The previous prime is 142241651654503. The next prime is 142241651654561. The reversal of 142241651654560 is 65456156142241.

It is a junction number, because it is equal to n+sod(n) for n = 142241651654498 and 142241651654507.

It is not an unprimeable number, because it can be changed into a prime (142241651654561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9667745764 + ... + 9667760476.

It is an arithmetic number, because the mean of its divisors is an integer number (1858842706266).

Almost surely, 2142241651654560 is an apocalyptic number.

142241651654560 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 142241651654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178448899801536).

142241651654560 is an abundant number, since it is smaller than the sum of its proper divisors (214656147948512).

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

142241651654560 is a wasteful number, since it uses less digits than its factorization.

142241651654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25335 (or 25327 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 52.

The spelling of 142241651654560 in words is "one hundred forty-two trillion, two hundred forty-one billion, six hundred fifty-one million, six hundred fifty-four thousand, five hundred sixty".