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4099921280 = 2757131741101
BaseRepresentation
bin1111010001011111…
…1101010110000000
3101120201201120200022
43310113331112000
531344034440110
61514455313012
7203412520160
oct36427752600
911521646608
104099921280
1118143315a4
1296507b768
13504538430
142ac7245a0
1518ee11755
hexf45fd580

4099921280 has 512 divisors, whose sum is σ = 13213912320. Its totient is φ = 1179648000.

The previous prime is 4099921277. The next prime is 4099921303. The reversal of 4099921280 is 821299904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40593230 + ... + 40593330.

Almost surely, 24099921280 is an apocalyptic number.

4099921280 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 4099921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606956160).

4099921280 is an abundant number, since it is smaller than the sum of its proper divisors (9113991040).

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

4099921280 is a wasteful number, since it uses less digits than its factorization.

4099921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 4099921280 is about 64030.6276714511. The cubic root of 4099921280 is about 1600.5104204853.

The spelling of 4099921280 in words is "four billion, ninety-nine million, nine hundred twenty-one thousand, two hundred eighty".