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3240431431404 = 22317291516415659
BaseRepresentation
bin101111001001111000110…
…000111010111011101100
3102110210010020102111001220
4233021320300322323230
5411042400421301104
610520344511303340
7453053624463306
oct57117060727354
912423106374056
103240431431404
11103a2940797a2
12444025b1ab50
131a67573c958b
14b2ba29ac976
15594574c17d9
hex2f278c3aeec

3240431431404 has 192 divisors, whose sum is σ = 8351160652800. Its totient is φ = 973357056000.

The previous prime is 3240431431373. The next prime is 3240431431417. The reversal of 3240431431404 is 4041341340423.

It is a super-2 number, since 2×32404314314042 (a number of 26 digits) contains 22 as substring.

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, 572612727 + ... + 572618385.

It is an arithmetic number, because the mean of its divisors is an integer number (43495628400).

Almost surely, 23240431431404 is an apocalyptic number.

3240431431404 is a gapful number since it is divisible by the number (34) 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 3240431431404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175580326400).

3240431431404 is an abundant number, since it is smaller than the sum of its proper divisors (5110729221396).

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

3240431431404 is a wasteful number, since it uses less digits than its factorization.

3240431431404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3240431431404 its reverse (4041341340423), we get a palindrome (7281772771827).

The spelling of 3240431431404 in words is "three trillion, two hundred forty billion, four hundred thirty-one million, four hundred thirty-one thousand, four hundred four".