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320136642423540 = 223251993607205387
BaseRepresentation
bin100100011001010011001111…
…0110110011110101011110100
31112222111202122001020102020100
41020302212132312132223310
5313430104320430023130
63052512424311434100
7124301052303114435
oct11062463666365364
91488452561212210
10320136642423540
1193007207780818
122baa4761985930
13109829a97896b7
14590a9a63d948c
15270274e78dc60
hex123299ed9eaf4

320136642423540 has 72 divisors (see below), whose sum is σ = 1022190682836960. Its totient is φ = 80876625453504.

The previous prime is 320136642423539. The next prime is 320136642423547. The reversal of 320136642423540 is 45324246631023.

320136642423540 is a `hidden beast` number, since 3 + 2 + 0 + 1 + 3 + 6 + 64 + 2 + 42 + 3 + 540 = 666.

It is a super-3 number, since 3×3201366424235403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320136642423547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46803599274 + ... + 46803606113.

It is an arithmetic number, because the mean of its divisors is an integer number (14197092817180).

Almost surely, 2320136642423540 is an apocalyptic number.

320136642423540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320136642423540 is an abundant number, since it is smaller than the sum of its proper divisors (702054040413420).

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

320136642423540 is a wasteful number, since it uses less digits than its factorization.

320136642423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93607205421 (or 93607205416 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 320136642423540 in words is "three hundred twenty trillion, one hundred thirty-six billion, six hundred forty-two million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 93607205387 187214410774 280821616161 374428821548 468036026935 561643232322 842464848483 936072053870 1123286464644 1404108080805 1684929696966 1778536902353 1872144107740 2808216161610 3369859393932 3557073804706 4212324242415 5335610707059 5616432323220 7114147609412 8424648484830 8892684511765 10671221414118 16006832121177 16849296969660 17785369023530 21342442828236 26678053535295 32013664242354 35570738047060 53356107070590 64027328484708 80034160605885 106712214141180 160068321211770 320136642423540