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10230243144 = 2331126157751
BaseRepresentation
bin10011000011100010…
…10001111101001000
3222101222000012100020
421201301101331020
5131422420240034
64411045340440
7511341426522
oct114161217510
928358005306
1010230243144
11437a784100
121b96107720
13c70603314
146d0978a12
153ed1dd249
hex261c51f48

10230243144 has 96 divisors (see below), whose sum is σ = 28573379520. Its totient is φ = 3049200000.

The previous prime is 10230243139. The next prime is 10230243181. The reversal of 10230243144 is 44134203201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 148269 + ... + 206019.

It is an arithmetic number, because the mean of its divisors is an integer number (297639370).

Almost surely, 210230243144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286689760).

10230243144 is an abundant number, since it is smaller than the sum of its proper divisors (18343136376).

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

10230243144 is a wasteful number, since it uses less digits than its factorization.

10230243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57843 (or 57828 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10230243144 its reverse (44134203201), we get a palindrome (54364446345).

The spelling of 10230243144 in words is "ten billion, two hundred thirty million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 121 122 132 183 242 244 264 363 366 484 488 671 726 732 968 1342 1452 1464 2013 2684 2904 4026 5368 7381 8052 14762 16104 22143 29524 44286 57751 59048 88572 115502 173253 177144 231004 346506 462008 635261 693012 1270522 1386024 1905783 2541044 3522811 3811566 5082088 6987871 7045622 7623132 10568433 13975742 14091244 15246264 20963613 21136866 27951484 28182488 38750921 41927226 42273732 55902968 77501842 83854452 84547464 116252763 155003684 167708904 232505526 310007368 426260131 465011052 852520262 930022104 1278780393 1705040524 2557560786 3410081048 5115121572 10230243144