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23125314540000 = 2535417138116417
BaseRepresentation
bin1010100001000010010000…
…01010001001000111100000
310000212202110221010222221010
411100201020022021013200
511012341121010240000
6121103342311100520
74604514565214061
oct520411012110740
9100782427128833
1023125314540000
117406433200452
122715a11071740
13cb992807880a
1459d3b2238568
152a1820e18d50
hex1508482891e0

23125314540000 has 480 divisors, whose sum is σ = 80380809232416. Its totient is φ = 5799444480000.

The previous prime is 23125314539993. The next prime is 23125314540023. The reversal of 23125314540000 is 4541352132.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23125314540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1408611792 + ... + 1408628208.

Almost surely, 223125314540000 is an apocalyptic number.

23125314540000 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 23125314540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40190404616208).

23125314540000 is an abundant number, since it is smaller than the sum of its proper divisors (57255494692416).

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

23125314540000 is a wasteful number, since it uses less digits than its factorization.

23125314540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17848 (or 17825 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 23125314540000 its reverse (4541352132), we get a palindrome (23129855892132).

The spelling of 23125314540000 in words is "twenty-three trillion, one hundred twenty-five billion, three hundred fourteen million, five hundred forty thousand".