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14505131505420 = 223252310134689653
BaseRepresentation
bin1101001100010011110100…
…1101011111011100001100
31220100200021112222011002100
43103010331031133130030
53400123002131133140
650503322044155100
73024650452325223
oct323047515373414
956320245864070
1014505131505420
114692656650056
121763237238a90
13812a9c25535a
143820a2dc5cba
151a24a22b2530
hexd313d35f70c

14505131505420 has 144 divisors (see below), whose sum is σ = 46366469053632. Its totient is φ = 3663227251200.

The previous prime is 14505131505383. The next prime is 14505131505457. The reversal of 14505131505420 is 2450513150541.

14505131505420 is a `hidden beast` number, since 1 + 4 + 50 + 5 + 13 + 1 + 50 + 542 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14505131505383) and next prime (14505131505457).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16926687 + ... + 17762966.

It is an arithmetic number, because the mean of its divisors is an integer number (321989368428).

Almost surely, 214505131505420 is an apocalyptic number.

14505131505420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14505131505420 is an abundant number, since it is smaller than the sum of its proper divisors (31861337548212).

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

14505131505420 is a wasteful number, since it uses less digits than its factorization.

14505131505420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34689792 (or 34689787 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 14505131505420 its reverse (2450513150541), we get a palindrome (16955644655961).

The spelling of 14505131505420 in words is "fourteen trillion, five hundred five billion, one hundred thirty-one million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 101 115 138 180 202 207 230 276 303 345 404 414 460 505 606 690 828 909 1010 1035 1212 1380 1515 1818 2020 2070 2323 3030 3636 4140 4545 4646 6060 6969 9090 9292 11615 13938 18180 20907 23230 27876 34845 41814 46460 69690 83628 104535 139380 209070 418140 34689653 69379306 104068959 138758612 173448265 208137918 312206877 346896530 416275836 520344795 624413754 693793060 797862019 1040689590 1248827508 1561034385 1595724038 2081379180 2393586057 3122068770 3191448076 3503654953 3989310095 4787172114 6244137540 7007309906 7180758171 7978620190 9574344228 10510964859 11967930285 14014619812 14361516342 15957240380 17518274765 21021929718 23935860570 28723032684 31532894577 35036549530 35903790855 42043859436 47871721140 52554824295 63065789154 70073099060 71807581710 80584063919 105109648590 126131578308 143615163420 157664472885 161168127838 210219297180 241752191757 315328945770 322336255676 402920319595 483504383514 630657891540 725256575271 805840639190 967008767028 1208760958785 1450513150542 1611681278380 2417521917570 2901026301084 3626282876355 4835043835140 7252565752710 14505131505420