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230047403400000 = 26345517835321
BaseRepresentation
bin110100010011101000010101…
…110000101101101101000000
31010011112022120002012001010000
4310103220111300231231000
5220123044040232300000
62133134152420040000
766312243053166264
oct6423502560555500
91104468502161100
10230047403400000
116733361299443a
1221974889b33000
139b494b9518634
1440b44d49060a4
151b8e0da7a0000
hexd13a15c2db40

230047403400000 has 840 divisors, whose sum is σ = 902501131277592. Its totient is φ = 57737318400000.

The previous prime is 230047403399963. The next prime is 230047403400029. The reversal of 230047403400000 is 4304740032.

It can be written as a sum of positive squares in 12 ways, for example, as 211819148864064 + 18228254535936 = 14554008^2 + 4269456^2 .

It is a super-2 number, since 2×2300474034000002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 274982340 + ... + 275817660.

Almost surely, 2230047403400000 is an apocalyptic number.

230047403400000 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 230047403400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451250565638796).

230047403400000 is an abundant number, since it is smaller than the sum of its proper divisors (672453727877592).

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

230047403400000 is an frugal number, since it uses more digits than its factorization.

230047403400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835387 (or 835348 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 230047403400000 in words is "two hundred thirty trillion, forty-seven billion, four hundred three million, four hundred thousand".