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14319508632 = 23311136776163
BaseRepresentation
bin11010101011000001…
…00101110010011000
31100221221200102000120
431111200211302120
5213311243234012
610324524433240
71014564546402
oct152540456230
940857612016
1014319508632
116088a97860
1229376a8820
13147287a540
1499bac7b72
1558c1e758c
hex355825c98

14319508632 has 128 divisors (see below), whose sum is σ = 42126255360. Its totient is φ = 3998891520.

The previous prime is 14319508597. The next prime is 14319508649. The reversal of 14319508632 is 23680591341.

It is a super-2 number, since 2×143195086322 (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, 2320383 + ... + 2326545.

It is an arithmetic number, because the mean of its divisors is an integer number (329111370).

Almost surely, 214319508632 is an apocalyptic number.

14319508632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14319508632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063127680).

14319508632 is an abundant number, since it is smaller than the sum of its proper divisors (27806746728).

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

14319508632 is a wasteful number, since it uses less digits than its factorization.

14319508632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 14319508632 in words is "fourteen billion, three hundred nineteen million, five hundred eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 677 858 1144 1354 1716 2031 2708 3432 4062 5416 6163 7447 8124 8801 12326 14894 16248 17602 18489 22341 24652 26403 29788 35204 36978 44682 49304 52806 59576 67793 70408 73956 80119 89364 96811 105612 135586 147912 160238 178728 193622 203379 211224 240357 271172 290433 320476 387244 406758 480714 542344 580866 640952 774488 813516 881309 961428 1161732 1627032 1762618 1922856 2323464 2643927 3525236 4172351 5287854 7050472 8344702 10575708 12517053 16689404 21151416 25034106 33378808 45895861 50068212 54240563 91791722 100136424 108481126 137687583 162721689 183583444 216962252 275375166 325443378 367166888 433924504 550750332 596646193 650886756 1101500664 1193292386 1301773512 1789938579 2386584772 3579877158 4773169544 7159754316 14319508632