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332024112420000 = 253547111337149411
BaseRepresentation
bin100101101111110010110001…
…1010001110001010010100000
31121112121012021021021001020220
41023133211203101301102200
5322004340340234420000
63134053434353203040
7126635644011646050
oct11337454321612240
91545535237231226
10332024112420000
119687a6a96793a0
12312a45b7560480
131133597c776470
145bdc0a4bb3560
15285ba984111a0
hex12df9634714a0

332024112420000 has 1920 divisors, whose sum is σ = 1501827039111168. Its totient is φ = 61963315200000.

The previous prime is 332024112419999. The next prime is 332024112420079. The reversal of 332024112420000 is 24211420233.

It is a happy number.

It is a super-2 number, since 2×3320241124200002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2222145295 + ... + 2222294705.

Almost surely, 2332024112420000 is an apocalyptic number.

332024112420000 is a gapful number since it is divisible by the number (30) 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 332024112420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750913519555584).

332024112420000 is an abundant number, since it is smaller than the sum of its proper divisors (1169802926691168).

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

332024112420000 is a wasteful number, since it uses less digits than its factorization.

332024112420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149512 (or 149489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 332024112420000 its reverse (24211420233), we get a palindrome (332048323840233).

The spelling of 332024112420000 in words is "three hundred thirty-two trillion, twenty-four billion, one hundred twelve million, four hundred twenty thousand".