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14361245652 = 223131750910639
BaseRepresentation
bin11010101111111111…
…10011011111010100
31101001212012212110010
431113333303133110
5213402434330102
610333015200220
71015612400565
oct152777633724
941055185403
1014361245652
1160aa604466
122949676070
13147b4018c0
149a347016c
15590bddd6c
hex357ff37d4

14361245652 has 96 divisors (see below), whose sum is σ = 38288678400. Its totient is φ = 4150351872.

The previous prime is 14361245621. The next prime is 14361245699. The reversal of 14361245652 is 25654216341.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14361245652.

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, 1344549 + ... + 1355187.

It is an arithmetic number, because the mean of its divisors is an integer number (398840400).

Almost surely, 214361245652 is an apocalyptic number.

14361245652 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 14361245652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144339200).

14361245652 is an abundant number, since it is smaller than the sum of its proper divisors (23927432748).

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

14361245652 is a wasteful number, since it uses less digits than its factorization.

14361245652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11183 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The spelling of 14361245652 in words is "fourteen billion, three hundred sixty-one million, two hundred forty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 509 663 884 1018 1326 1527 2036 2652 3054 6108 6617 8653 10639 13234 17306 19851 21278 25959 26468 31917 34612 39702 42556 51918 63834 79404 103836 112489 127668 138307 180863 224978 276614 337467 361726 414921 449956 542589 553228 674934 723452 829842 1085178 1349868 1659684 2170356 2351219 4702438 5415251 7053657 9404876 10830502 14107314 16245753 21661004 28214628 32491506 64983012 70398263 92059267 140796526 184118534 211194789 276177801 281593052 368237068 422389578 552355602 844779156 1104711204 1196770471 2393540942 3590311413 4787081884 7180622826 14361245652