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4324159840 = 2557311131929
BaseRepresentation
bin1000000011011110…
…10111000101100000
3102011100200002011011
410001233113011200
532323441103330
61553025430304
7212104516000
oct40157270540
912140602134
104324159840
11191996a320
12a0819b394
1353bb2b180
142d0416000
151a495782a
hex101bd7160

4324159840 has 768 divisors, whose sum is σ = 15240960000. Its totient is φ = 1137991680.

The previous prime is 4324159817. The next prime is 4324159883. The reversal of 4324159840 is 489514234.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4324159793 and 4324159802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149108946 + ... + 149108974.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 24324159840 is an apocalyptic number.

4324159840 is a gapful number since it is divisible by the number (40) 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 4324159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480000).

4324159840 is an abundant number, since it is smaller than the sum of its proper divisors (10916800160).

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

4324159840 is a wasteful number, since it uses less digits than its factorization.

4324159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4324159840 is about 65758.3442613939. The cubic root of 4324159840 is about 1629.1731588740.

The spelling of 4324159840 in words is "four billion, three hundred twenty-four million, one hundred fifty-nine thousand, eight hundred forty".