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10013400140 = 2251929231333
BaseRepresentation
bin10010101001101100…
…00101110001001100
3221211211222102122212
421110312011301030
5131001412301030
64333341525552
7503066332262
oct112466056114
927754872585
1010013400140
114279337807
121b355738b8
13c376cc853
146adc50432
153d9158595
hex254d85c4c

10013400140 has 72 divisors (see below), whose sum is σ = 22925207760. Its totient is φ = 3663588096.

The previous prime is 10013400127. The next prime is 10013400181. The reversal of 10013400140 is 4100431001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303914 + ... + 335246.

Almost surely, 210013400140 is an apocalyptic number.

10013400140 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 10013400140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462603880).

10013400140 is an abundant number, since it is smaller than the sum of its proper divisors (12911807620).

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

10013400140 is a wasteful number, since it uses less digits than its factorization.

10013400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10013400140 its reverse (4100431001), we get a palindrome (14113831141).

The spelling of 10013400140 in words is "ten billion, thirteen million, four hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 380 551 580 841 1102 1682 2204 2755 3364 4205 5510 8410 11020 15979 16820 31333 31958 62666 63916 79895 125332 156665 159790 313330 319580 595327 626660 908657 1190654 1817314 2381308 2976635 3634628 4543285 5953270 9086570 11906540 17264483 18173140 26351053 34528966 52702106 69057932 86322415 105404212 131755265 172644830 263510530 345289660 500670007 527021060 1001340014 2002680028 2503350035 5006700070 10013400140