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1230361332480 = 2835572812011
BaseRepresentation
bin10001111001110111010…
…000000000101100000000
311100121202222220121100000
4101321313100000230000
5130124240000114410
62341115321200000
7154614333525240
oct21716720005400
94317688817300
101230361332480
1143487a995605
1217a551630000
138c03a7a31b7
144379a94db20
15220103dadc0
hex11e77400b00

1230361332480 has 864 divisors, whose sum is σ = 5065713289728. Its totient is φ = 280085299200.

The previous prime is 1230361332427. The next prime is 1230361332539. The reversal of 1230361332480 is 842331630321.

1230361332480 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 613 + 32 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×12303613324802 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611814675 + ... + 611816685.

Almost surely, 21230361332480 is an apocalyptic number.

1230361332480 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 1230361332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532856644864).

1230361332480 is an abundant number, since it is smaller than the sum of its proper divisors (3835351957248).

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

1230361332480 is an equidigital number, since it uses as much as digits as its factorization.

1230361332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1230361332480 in words is "one trillion, two hundred thirty billion, three hundred sixty-one million, three hundred thirty-two thousand, four hundred eighty".