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100099470840040 = 235747197338911393
BaseRepresentation
bin10110110000101000111001…
…011001101101000011101000
3111010102102020020020202112101
4112300220321121231003220
5101110012204013340130
6552521021224023144
730040643126264320
oct2660507131550350
9433372206222471
10100099470840040
1129992a467795a1
12b287b46301ab4
1343b1455130a89
141aa0ba988a280
15b88c3c3311ca
hex5b0a3966d0e8

100099470840040 has 256 divisors, whose sum is σ = 264310756300800. Its totient is φ = 33406310547456.

The previous prime is 100099470840011. The next prime is 100099470840043. The reversal of 100099470840040 is 40048074990001.

It is not an unprimeable number, because it can be changed into a prime (100099470840043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8786044584 + ... + 8786055976.

It is an arithmetic number, because the mean of its divisors is an integer number (1032463891800).

Almost surely, 2100099470840040 is an apocalyptic number.

100099470840040 is a gapful number since it is divisible by the number (10) 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 100099470840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132155378150400).

100099470840040 is an abundant number, since it is smaller than the sum of its proper divisors (164211285460760).

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

100099470840040 is a wasteful number, since it uses less digits than its factorization.

100099470840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15044 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 100099470840040 in words is "one hundred trillion, ninety-nine billion, four hundred seventy million, eight hundred forty thousand, forty".