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14540444152 = 23132343373379
BaseRepresentation
bin11011000101010110…
…11001000111111000
31101112100102002120121
431202223121013320
5214234323203102
610402500103024
71023216510313
oct154253310770
941470362517
1014540444152
1161917799a3
122999694a74
1314a9584a10
149bd19997a
155a17d9b37
hex362ad91f8

14540444152 has 128 divisors (see below), whose sum is σ = 31516531200. Its totient is φ = 6236600832.

The previous prime is 14540444143. The next prime is 14540444189. The reversal of 14540444152 is 25144404541.

It is a super-2 number, since 2×145404441522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 38365099 + ... + 38365477.

It is an arithmetic number, because the mean of its divisors is an integer number (246222900).

Almost surely, 214540444152 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 14540444152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15758265600).

14540444152 is an abundant number, since it is smaller than the sum of its proper divisors (16976087048).

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

14540444152 is a wasteful number, since it uses less digits than its factorization.

14540444152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 14540444152 its reverse (25144404541), we get a palindrome (39684848693).

The spelling of 14540444152 in words is "fourteen billion, five hundred forty million, four hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 43 46 52 86 92 104 172 184 299 344 373 379 559 598 746 758 989 1118 1196 1492 1516 1978 2236 2392 2984 3032 3956 4472 4849 4927 7912 8579 8717 9698 9854 12857 16039 16297 17158 17434 19396 19708 25714 32078 32594 34316 34868 38792 39416 51428 64156 65188 68632 69736 102856 111527 113321 128312 130376 141367 208507 211861 223054 226642 282734 368897 374831 417014 423722 446108 453284 565468 737794 749662 834028 847444 892216 906568 1130936 1475588 1499324 1668056 1694888 1837771 2951176 2998648 3251441 3675542 4795661 4872803 6078781 6502882 7351084 9591322 9745606 12157562 13005764 14702168 19182644 19491212 24315124 26011528 38365288 38982424 42268733 48630248 79024153 84537466 139811963 158048306 169074932 279623926 316096612 338149864 559247852 632193224 1118495704 1817555519 3635111038 7270222076 14540444152