Search a number
-
+
430121053322440 = 23529336699748577
BaseRepresentation
bin110000111001100010101110…
…0100101111111110011001000
32002101221011121202010210212121
41201303011130211333303020
5422334100404122304230
64122442514543021024
7156412135445521054
oct14163053445776310
92071834552123777
10430121053322440
11115060350405587
12402a841259a774
131560031a160c7c
14782dd81ba8c64
1534ad6805c377a
hex187315c97fcc8

430121053322440 has 32 divisors (see below), whose sum is σ = 971075347373880. Its totient is φ = 171461225347072.

The previous prime is 430121053322437. The next prime is 430121053322453. The reversal of 430121053322440 is 44223350121034.

It can be written as a sum of positive squares in 4 ways, for example, as 386553898628676 + 43567154693764 = 19660974^2 + 6600542^2 .

It is a super-2 number, since 2×4301210533224402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430121053322396 and 430121053322405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18349862569 + ... + 18349886008.

Almost surely, 2430121053322440 is an apocalyptic number.

430121053322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430121053322440 is an abundant number, since it is smaller than the sum of its proper divisors (540954294051440).

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

430121053322440 is a wasteful number, since it uses less digits than its factorization.

430121053322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36699748881 (or 36699748877 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 430121053322440 in words is "four hundred thirty trillion, one hundred twenty-one billion, fifty-three million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 5860 11720 36699748577 73399497154 146798994308 183498742885 293597988616 366997485770 733994971540 1467989943080 10753026333061 21506052666122 43012105332244 53765131665305 86024210664488 107530263330610 215060526661220 430121053322440