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2153232138240 = 2163256831069
BaseRepresentation
bin11111010101010110101…
…000110000000000000000
321121211212110010222222100
4133111112220300000000
5240234304411410430
64325103045310400
7311365046121621
oct37252650600000
97554773128870
102153232138240
117601a9453267
122a9389105400
13128083625661
14763075d3a48
153b025707960
hex1f556a30000

2153232138240 has 408 divisors, whose sum is σ = 7482402991440. Its totient is φ = 572818194432.

The previous prime is 2153232138173. The next prime is 2153232138257. The reversal of 2153232138240 is 428312323512.

2153232138240 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 232 + 1 + 382 + 40 = 666.

It is a super-2 number, since 2×21532321382402 (a number of 25 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 = 2153232138195 and 2153232138204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2014248426 + ... + 2014249494.

Almost surely, 22153232138240 is an apocalyptic number.

2153232138240 is a gapful number since it is divisible by the number (20) 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 2153232138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741201495720).

2153232138240 is an abundant number, since it is smaller than the sum of its proper divisors (5329170853200).

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

2153232138240 is an equidigital number, since it uses as much as digits as its factorization.

2153232138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2153232138240 in words is "two trillion, one hundred fifty-three billion, two hundred thirty-two million, one hundred thirty-eight thousand, two hundred forty".