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10093243140 = 2235567139223
BaseRepresentation
bin10010110011001101…
…01010101100000100
3222001102012212200000
421121212222230010
5131132332240030
64345313121300
7505056102561
oct113146525404
928042185600
1010093243140
11430a410a62
121b58259230
13c4b106626
146ba6b5868
153e117a860
hex2599aab04

10093243140 has 288 divisors, whose sum is σ = 32601354240. Its totient is φ = 2620480896.

The previous prime is 10093243123. The next prime is 10093243151. The reversal of 10093243140 is 4134239001.

10093243140 is a `hidden beast` number, since 100 + 93 + 2 + 431 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45261069 + ... + 45261291.

Almost surely, 210093243140 is an apocalyptic number.

10093243140 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 10093243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300677120).

10093243140 is an abundant number, since it is smaller than the sum of its proper divisors (22508111100).

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

10093243140 is a wasteful number, since it uses less digits than its factorization.

10093243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10093243140 in words is "ten billion, ninety-three million, two hundred forty-three thousand, one hundred forty".