Search a number
-
+
430455503461452 = 223741264889471847
BaseRepresentation
bin110000111011111110011101…
…1011000000001110001001100
32002110010010220011002020002020
41201313330323120001301030
5422410040332341231302
64123300310042130140
7156445245441014460
oct14167747330016114
92073103804066066
10430455503461452
1111517a176830147
12403411b11b0950
1315625a1a2c1401
14784222c3a24a0
1534b72073eaebc
hex1877f3b601c4c

430455503461452 has 96 divisors (see below), whose sum is σ = 1175885379701760. Its totient is φ = 119986889518080.

The previous prime is 430455503461447. The next prime is 430455503461523. The reversal of 430455503461452 is 254164305554034.

It is a super-2 number, since 2×4304555034614522 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430455503461395 and 430455503461404.

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, 912041793 + ... + 912513639.

It is an arithmetic number, because the mean of its divisors is an integer number (12248806038560).

Almost surely, 2430455503461452 is an apocalyptic number.

430455503461452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

430455503461452 is an abundant number, since it is smaller than the sum of its proper divisors (745429876240308).

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

430455503461452 is a wasteful number, since it uses less digits than its factorization.

430455503461452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736791 (or 736789 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 51.

The spelling of 430455503461452 in words is "four hundred thirty trillion, four hundred fifty-five billion, five hundred three million, four hundred sixty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 264889 471847 529778 794667 943694 1059556 1415541 1589334 1854223 1887388 2831082 3178668 3302929 3708446 5562669 5662164 6605858 7416892 9908787 10860449 11125338 13211716 19345727 19817574 21720898 22250676 32581347 38691454 39635148 43441796 58037181 65162694 76023143 77382908 116074362 130325388 135420089 152046286 228069429 232148724 270840178 304092572 406260267 456138858 541680356 812520534 912277716 1625041068 124987079983 249974159966 374961239949 499948319932 749922479898 874909559881 1499844959796 1749819119762 2624728679643 3499638239524 5124470279303 5249457359286 10248940558606 10498914718572 15373410837909 20497881117212 30746821675818 35871291955121 61493643351636 71742583910242 107613875865363 143485167820484 215227751730726 430455503461452