Search a number
-
+
405321233540 = 225291369151043
BaseRepresentation
bin1011110010111110000…
…01110011010010000100
31102202012112102001010112
411321133001303102010
523120044213433130
6510111344412152
741166144432266
oct5713701632204
91382175361115
10405321233540
111469942a6973
1266679317058
132c2b5bc0742
1415890ba3b36
15a823b55495
hex5e5f073484

405321233540 has 48 divisors (see below), whose sum is σ = 880607004480. Its totient is φ = 156523355520.

The previous prime is 405321233533. The next prime is 405321233609. The reversal of 405321233540 is 45332123504.

It is a junction number, because it is equal to n+sod(n) for n = 405321233497 and 405321233506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7915259 + ... + 7966301.

It is an arithmetic number, because the mean of its divisors is an integer number (18345979260).

Almost surely, 2405321233540 is an apocalyptic number.

It is an amenable number.

405321233540 is an abundant number, since it is smaller than the sum of its proper divisors (475285770940).

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

405321233540 is a wasteful number, since it uses less digits than its factorization.

405321233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64772 (or 64770 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 405321233540 in words is "four hundred five billion, three hundred twenty-one million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 13691 27382 51043 54764 68455 102086 136910 204172 255215 273820 397039 510430 794078 1020860 1480247 1588156 1985195 2960494 3970390 5920988 7401235 7940780 14802470 29604940 698829713 1397659426 2795318852 3494148565 6988297130 13976594260 20266061677 40532123354 81064246708 101330308385 202660616770 405321233540