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10140225103632 = 24313293715144791
BaseRepresentation
bin1001001110001111010010…
…0000111110011100010000
31022220101200201111120201010
42103203310200332130100
52312114140111304012
633322204411410520
72064415142144361
oct223436440763420
938811621446633
1010140225103632
11325a499796918
1211792b0a53a40
135872b0553c20
14270b0a5d5b68
15128b857cbc3c
hex938f483e710

10140225103632 has 160 divisors (see below), whose sum is σ = 29972149159680. Its totient is φ = 2931062077440.

The previous prime is 10140225103621. The next prime is 10140225103637. The reversal of 10140225103632 is 23630152204101.

It is a self number, because there is not a number n which added to its sum of digits gives 10140225103632.

It is not an unprimeable number, because it can be changed into a prime (10140225103637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6902844 + ... + 8241947.

It is an arithmetic number, because the mean of its divisors is an integer number (187325932248).

Almost surely, 210140225103632 is an apocalyptic number.

10140225103632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10140225103632 is an abundant number, since it is smaller than the sum of its proper divisors (19831924056048).

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

10140225103632 is a wasteful number, since it uses less digits than its factorization.

10140225103632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15144881 (or 15144875 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10140225103632 its reverse (23630152204101), we get a palindrome (33770377307733).

The spelling of 10140225103632 in words is "ten trillion, one hundred forty billion, two hundred twenty-five million, one hundred three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 37 39 48 52 58 74 78 87 104 111 116 148 156 174 208 222 232 296 312 348 377 444 464 481 592 624 696 754 888 962 1073 1131 1392 1443 1508 1776 1924 2146 2262 2886 3016 3219 3848 4292 4524 5772 6032 6438 7696 8584 9048 11544 12876 13949 17168 18096 23088 25752 27898 41847 51504 55796 83694 111592 167388 223184 334776 669552 15144791 30289582 45434373 60579164 90868746 121158328 181737492 196882283 242316656 363474984 393764566 439198939 560357267 590646849 726949968 787529132 878397878 1120714534 1181293698 1317596817 1575058264 1681071801 1756795756 2241429068 2362587396 2635193634 3150116528 3362143602 3513591512 4482858136 4725174792 5270387268 5709586207 6724287204 7027183024 7284644471 8965716272 9450349584 10540774536 11419172414 13448574408 14569288942 16250360743 17128758621 21081549072 21853933413 22838344828 26897148816 29138577884 32500721486 34257517242 43707866826 45676689656 48751082229 58277155768 65001442972 68515034484 87415733652 91353379312 97502164458 116554311536 130002885944 137030068968 174831467304 195004328916 211254689659 260005771888 274060137936 349662934608 390008657832 422509379318 633764068977 780017315664 845018758636 1267528137954 1690037517272 2535056275908 3380075034544 5070112551816 10140225103632