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131223024011440 = 2459771871897329
BaseRepresentation
bin11101110101100010111101…
…101110111000100010110000
3122012121210120011110100211201
4131311202331232320202300
5114144424223121331230
61143031005223020544
736432356602241344
oct3565427556704260
9565553504410751
10131223024011440
11388a2410093949
1212873a9929a754
13582b37cbb82aa
14245932a465624
15102862a7385ca
hex7758bdbb88b0

131223024011440 has 80 divisors (see below), whose sum is σ = 305569378558080. Its totient is φ = 52407400939520.

The previous prime is 131223024011407. The next prime is 131223024011447. The reversal of 131223024011440 is 44110420322131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 131223024011399 and 131223024011408.

It is not an unprimeable number, because it can be changed into a prime (131223024011447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145788696 + ... + 146686024.

It is an arithmetic number, because the mean of its divisors is an integer number (3819617231976).

Almost surely, 2131223024011440 is an apocalyptic number.

131223024011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223024011440 is an abundant number, since it is smaller than the sum of its proper divisors (174346354546640).

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

131223024011440 is a wasteful number, since it uses less digits than its factorization.

131223024011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900190 (or 900184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131223024011440 its reverse (44110420322131), we get a palindrome (175333444333571).

The spelling of 131223024011440 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, twenty-four million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 977 1871 1954 3742 3908 4885 7484 7816 9355 9770 14968 15632 18710 19540 29936 37420 39080 74840 78160 149680 897329 1794658 1827967 3589316 3655934 4486645 7178632 7311868 8973290 9139835 14357264 14623736 17946580 18279670 29247472 35893160 36559340 71786320 73118680 146237360 876690433 1678902559 1753380866 3357805118 3506761732 4383452165 6715610236 7013523464 8394512795 8766904330 13431220472 14027046928 16789025590 17533808660 26862440944 33578051180 35067617320 67156102360 70135234640 134312204720 1640287800143 3280575600286 6561151200572 8201439000715 13122302401144 16402878001430 26244604802288 32805756002860 65611512005720 131223024011440