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3201144401400 = 23352113623133873
BaseRepresentation
bin101110100101010011000…
…100110010110111111000
3102100000201020221120112120
4232211103010302313320
5404421420431321100
610450330242041240
7450163225313241
oct56452304626770
912300636846476
103201144401400
111024663619660
124384a0949220
131a2b35c77a6a
14b0d16d93cc8
15584083c00a0
hex2e953132df8

3201144401400 has 192 divisors, whose sum is σ = 10828757272320. Its totient is φ = 775815014400.

The previous prime is 3201144401393. The next prime is 3201144401407. The reversal of 3201144401400 is 41044411023.

It is an interprime number because it is at equal distance from previous prime (3201144401393) and next prime (3201144401407).

It is a super-2 number, since 2×32011444014002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201144401407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23844864 + ... + 23978736.

It is an arithmetic number, because the mean of its divisors is an integer number (56399777460).

Almost surely, 23201144401400 is an apocalyptic number.

3201144401400 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 3201144401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414378636160).

3201144401400 is an abundant number, since it is smaller than the sum of its proper divisors (7627612870920).

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

3201144401400 is a wasteful number, since it uses less digits than its factorization.

3201144401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137526 (or 137517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3201144401400 its reverse (41044411023), we get a palindrome (3242188812423).

The spelling of 3201144401400 in words is "three trillion, two hundred one billion, one hundred forty-four million, four hundred one thousand, four hundred".