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320133240240 = 243511121262591
BaseRepresentation
bin1001010100010010110…
…11011001010110110000
31010121022122011121020120
410222021123121112300
520221113102141430
6403022302210240
732062125433632
oct4521133312660
91117278147216
10320133240240
11113849960720
1252063b83980
132425acb7b08
14116ccdcca52
1584d9e98610
hex4a896d95b0

320133240240 has 80 divisors (see below), whose sum is σ = 1082632421376. Its totient is φ = 77608057600.

The previous prime is 320133240223. The next prime is 320133240293. The reversal of 320133240240 is 42042331023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 320133240240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60628656 + ... + 60633935.

Almost surely, 2320133240240 is an apocalyptic number.

320133240240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320133240240 is an abundant number, since it is smaller than the sum of its proper divisors (762499181136).

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

320133240240 is a wasteful number, since it uses less digits than its factorization.

320133240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121262618 (or 121262612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320133240240 its reverse (42042331023), we get a palindrome (362175571263).

The spelling of 320133240240 in words is "three hundred twenty billion, one hundred thirty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 121262591 242525182 363787773 485050364 606312955 727575546 970100728 1212625910 1333888501 1455151092 1818938865 1940201456 2425251820 2667777002 2910302184 3637877730 4001665503 4850503640 5335554004 5820604368 6669442505 7275755460 8003331006 9701007280 10671108008 13338885010 14551510920 16006662012 20008327515 21342216016 26677770020 29103021840 32013324024 40016655030 53355540040 64026648048 80033310060 106711080080 160066620120 320133240240