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232430141011200 = 28352117399715121
BaseRepresentation
bin110100110110010011011011…
…111111010111010100000000
31010110222002211011101001101120
4310312103123333113110000
5220431113412044324300
62142200533244232240
766646344366543246
oct6466233377272400
91113862734331346
10232430141011200
11680720841833a0
122209a627b3b680
139c900b6c382a2
144157970a96796
151bd109491e3a0
hexd364dbfd7500

232430141011200 has 864 divisors, whose sum is σ = 849171336139392. Its totient is φ = 55515414528000.

The previous prime is 232430141011157. The next prime is 232430141011253. The reversal of 232430141011200 is 2110141034232.

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

It is a congruent number.

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, 15371339640 + ... + 15371354760.

Almost surely, 2232430141011200 is an apocalyptic number.

232430141011200 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 232430141011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424585668069696).

232430141011200 is an abundant number, since it is smaller than the sum of its proper divisors (616741195128192).

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

232430141011200 is a wasteful number, since it uses less digits than its factorization.

232430141011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16231 (or 16212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 232430141011200 its reverse (2110141034232), we get a palindrome (234540282045432).

The spelling of 232430141011200 in words is "two hundred thirty-two trillion, four hundred thirty billion, one hundred forty-one million, eleven thousand, two hundred".