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10242326140 = 2252960129383
BaseRepresentation
bin10011000100111110…
…10111111001111100
3222102210202002002121
421202133113321330
5131434013414030
64412200332324
7511546223104
oct114237277174
928383662077
1010242326140
114386587252
121b9a1740a4
13c72c74017
146d2402204
153ee2c847a
hex2627d7e7c

10242326140 has 48 divisors (see below), whose sum is σ = 22288351680. Its totient is φ = 3948940800.

The previous prime is 10242326137. The next prime is 10242326147. The reversal of 10242326140 is 4162324201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242326147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333889 + ... + 363271.

It is an arithmetic number, because the mean of its divisors is an integer number (464340660).

Almost surely, 210242326140 is an apocalyptic number.

10242326140 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 10242326140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144175840).

10242326140 is an abundant number, since it is smaller than the sum of its proper divisors (12046025540).

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

10242326140 is a wasteful number, since it uses less digits than its factorization.

10242326140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 10242326140 in words is "ten billion, two hundred forty-two million, three hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 601 1202 2404 3005 6010 12020 17429 29383 34858 58766 69716 87145 117532 146915 174290 293830 348580 587660 852107 1704214 3408428 4260535 8521070 17042140 17659183 35318366 70636732 88295915 176591830 353183660 512116307 1024232614 2048465228 2560581535 5121163070 10242326140