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131110420040140 = 225171991937783329
BaseRepresentation
bin11101110011111010000110…
…000000110100100111001100
3122012020000220121012221101011
4131303322012000310213030
5114141103120012241030
61142503143453055004
736421262301260002
oct3563720600644714
9565200817187334
10131110420040140
1138859687086642
12128560b2487464
135820876087988
142453ac74c8a72
151025739c28b2a
hex773e860349cc

131110420040140 has 48 divisors (see below), whose sum is σ = 292992839496000. Its totient is φ = 49111180664832.

The previous prime is 131110420040107. The next prime is 131110420040147. The reversal of 131110420040140 is 41040024011131.

131110420040140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311104200401402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131110420040147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968824005 + ... + 968959324.

It is an arithmetic number, because the mean of its divisors is an integer number (6104017489500).

Almost surely, 2131110420040140 is an apocalyptic number.

131110420040140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131110420040140 is an abundant number, since it is smaller than the sum of its proper divisors (161882419455860).

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

131110420040140 is a wasteful number, since it uses less digits than its factorization.

131110420040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937783554 (or 1937783552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 131110420040140 its reverse (41040024011131), we get a palindrome (172150444051271).

The spelling of 131110420040140 in words is "one hundred thirty-one trillion, one hundred ten billion, four hundred twenty million, forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 13532 16915 33830 67660 1937783329 3875566658 7751133316 9688916645 19377833290 32942316593 38755666580 65884633186 131769266372 164711582965 329423165930 385618882471 658846331860 771237764942 1542475529884 1928094412355 3856188824710 6555521002007 7712377649420 13111042004014 26222084008028 32777605010035 65555210020070 131110420040140