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431430400133421 = 313411512517118879
BaseRepresentation
bin110001000011000100011011…
…1101111101100100100101101
32002120120100021101011110100020
41202012020313233230210231
5423022023424413232141
64125324220101152353
7156605550335006313
oct14206106757544455
92076510241143306
10431430400133421
11115515672565147
124047a1280bb6b9
13156969348161a0
1478774b28460b3
1534d2764d7e266
hex1886237bec92d

431430400133421 has 64 divisors (see below), whose sum is σ = 641347075031040. Its totient is φ = 256279608000000.

The previous prime is 431430400133393. The next prime is 431430400133437. The reversal of 431430400133421 is 124331004034134.

It is not a de Polignac number, because 431430400133421 - 29 = 431430400132909 is a prime.

It is a super-2 number, since 2×4314304001334212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431430400183421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57044260 + ... + 64163138.

It is an arithmetic number, because the mean of its divisors is an integer number (10021048047360).

Almost surely, 2431430400133421 is an apocalyptic number.

431430400133421 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431430400133421 is a deficient number, since it is larger than the sum of its proper divisors (209916674897619).

431430400133421 is a wasteful number, since it uses less digits than its factorization.

431430400133421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119338.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 431430400133421 its reverse (124331004034134), we get a palindrome (555761404167555).

The spelling of 431430400133421 in words is "four hundred thirty-one trillion, four hundred thirty billion, four hundred million, one hundred thirty-three thousand, four hundred twenty-one".

Divisors: 1 3 13 39 41 123 151 251 453 533 753 1599 1963 3263 5889 6191 9789 10291 18573 30873 37901 80483 113703 133783 241449 401349 492713 1478139 1553941 4661823 7118879 20201233 21356637 60603699 92545427 277636281 291874039 875622117 1074950729 1786838629 3224852187 3794362507 5360515887 11383087521 13974359477 23228902177 41923078431 44072979889 69686706531 73260383789 132218939667 219781151367 269812632979 572948738557 809437898937 952384989257 1718846215671 2857154967771 3507564228727 10522692686181 11062317952139 33186953856417 143810133377807 431430400133421