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10455234603144 = 23323191123180557
BaseRepresentation
bin1001100000100100110010…
…0010110110100010001000
31101000111210021110012000120
42120021030202312202020
52332244310024300034
634123022442303240
72126236313542602
oct230111442664210
941014707405016
1010455234603144
113371049403271
12120a364ab7b20
135aac02b76696
14282070d12172
15131e70a29c49
hex9824c8b6888

10455234603144 has 128 divisors (see below), whose sum is σ = 27439936634880. Its totient is φ = 3313364947200.

The previous prime is 10455234603061. The next prime is 10455234603161. The reversal of 10455234603144 is 44130643255401.

It is a junction number, because it is equal to n+sod(n) for n = 10455234603096 and 10455234603105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129746514 + ... + 129827070.

It is an arithmetic number, because the mean of its divisors is an integer number (214374504960).

Almost surely, 210455234603144 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 10455234603144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719968317440).

10455234603144 is an abundant number, since it is smaller than the sum of its proper divisors (16984702031736).

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

10455234603144 is a wasteful number, since it uses less digits than its factorization.

10455234603144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82011 (or 82007 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 10455234603144 its reverse (44130643255401), we get a palindrome (54585877858545).

The spelling of 10455234603144 in words is "ten trillion, four hundred fifty-five billion, two hundred thirty-four million, six hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 552 573 764 1146 1231 1528 2292 2462 3693 4393 4584 4924 7386 8786 9848 13179 14772 17572 26358 28313 29544 35144 52716 56626 80557 84939 105432 113252 161114 169878 226504 235121 241671 322228 339756 470242 483342 644456 679512 705363 940484 966684 1410726 1852811 1880968 1933368 2821452 3705622 5407783 5558433 5642904 7411244 10815566 11116866 14822488 15386387 16223349 21631132 22233732 30772774 32446698 43262264 44467464 46159161 61545548 64893396 92318322 99165667 123091096 129786792 184636644 198331334 297497001 353886901 369273288 396662668 594994002 707773802 793325336 1061660703 1189988004 1415547604 2123321406 2280810341 2379976008 2831095208 4246642812 4561620682 6842431023 8493285624 9123241364 13684862046 18246482728 18940642397 27369724092 37881284794 54739448184 56821927191 75762569588 113643854382 151525139176 227287708764 435634775131 454575417528 871269550262 1306904325393 1742539100524 2613808650786 3485078201048 5227617301572 10455234603144