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23144211210000 = 243544331756597
BaseRepresentation
bin1010100001100101011100…
…11111001101111100010000
310000221120020212120021221210
411100302232133031330100
511013143321032210000
6121120145344220120
74606054062235326
oct520625637157420
9100846225507853
1023144211210000
11741344a9502a1
12271960560a640
13cbb649ca7b5a
145a0285b95d16
152a2079d92350
hex150cae7cdf10

23144211210000 has 400 divisors, whose sum is σ = 76692624554304. Its totient is φ = 6009136896000.

The previous prime is 23144211209983. The next prime is 23144211210031. The reversal of 23144211210000 is 1211244132.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 408901702 + ... + 408958298.

Almost surely, 223144211210000 is an apocalyptic number.

23144211210000 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 23144211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38346312277152).

23144211210000 is an abundant number, since it is smaller than the sum of its proper divisors (53548413344304).

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

23144211210000 is a wasteful number, since it uses less digits than its factorization.

23144211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56988 (or 56967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 23144211210000 its reverse (1211244132), we get a palindrome (23145422454132).

The spelling of 23144211210000 in words is "twenty-three trillion, one hundred forty-four billion, two hundred eleven million, two hundred ten thousand".