Search a number
-
+
23201444244000 = 2535311414287037
BaseRepresentation
bin1010100011010000000011…
…10101111010101000100000
310001011000222112121122220210
411101220001311322220200
511020113024211302000
6121202332450534120
74613151263060631
oct521500165725040
9101130875548823
1023201444244000
11743574a4628a0
122728718897340
13cc3b6b402a49
145a2d54d83888
152a37c9733350
hex151a01d7aa20

23201444244000 has 384 divisors, whose sum is σ = 84940147079424. Its totient is φ = 5487406080000.

The previous prime is 23201444243969. The next prime is 23201444244019. The reversal of 23201444244000 is 44244410232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3268482 + ... + 7555518.

It is an arithmetic number, because the mean of its divisors is an integer number (221198299686).

Almost surely, 223201444244000 is an apocalyptic number.

23201444244000 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 23201444244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42470073539712).

23201444244000 is an abundant number, since it is smaller than the sum of its proper divisors (61738702835424).

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

23201444244000 is a wasteful number, since it uses less digits than its factorization.

23201444244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287117 (or 4287099 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 23201444244000 its reverse (44244410232), we get a palindrome (23245688654232).

The spelling of 23201444244000 in words is "twenty-three trillion, two hundred one billion, four hundred forty-four million, two hundred forty-four thousand".