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10142444130 = 23571316092309
BaseRepresentation
bin10010111001000100…
…10110101001100010
3222011211210112201220
421130202112221202
5131232431203010
64354231435510
7506224231650
oct113442265142
928154715656
1010142444130
114335166435
121b70825b96
13c58372140
146c3041dd0
153e5648970
hex25c896a62

10142444130 has 128 divisors (see below), whose sum is σ = 29990822400. Its totient is φ = 2137688064.

The previous prime is 10142444089. The next prime is 10142444153. The reversal of 10142444130 is 3144424101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142444130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4391416 + ... + 4393724.

It is an arithmetic number, because the mean of its divisors is an integer number (234303300).

Almost surely, 210142444130 is an apocalyptic number.

10142444130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142444130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995411200).

10142444130 is an abundant number, since it is smaller than the sum of its proper divisors (19848378270).

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

10142444130 is a wasteful number, since it uses less digits than its factorization.

10142444130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10142444130 its reverse (3144424101), we get a palindrome (13286868231).

The spelling of 10142444130 in words is "ten billion, one hundred forty-two million, four hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 1609 2309 2730 3218 4618 4827 6927 8045 9654 11263 11545 13854 16090 16163 20917 22526 23090 24135 30017 32326 33789 34635 41834 48270 48489 56315 60034 62751 67578 69270 80815 90051 96978 104585 112630 125502 146419 150085 161630 168945 180102 209170 210119 242445 292838 300170 313755 337890 420238 439257 450255 484890 627510 630357 732095 878514 900510 1050595 1260714 1464190 2101190 2196285 3151785 3715181 4392570 6303570 7430362 11145543 18575905 22291086 26006267 37151810 48297353 52012534 55727715 78018801 96594706 111455430 130031335 144892059 156037602 241486765 260062670 289784118 338081471 390094005 482973530 676162942 724460295 780188010 1014244413 1448920590 1690407355 2028488826 3380814710 5071222065 10142444130