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131043244144 = 24316118123929
BaseRepresentation
bin111101000001011001…
…0010011100001110000
3110112020121222112112211
41322002302103201300
54121334032303034
6140111143301504
712316242124321
oct1720262234160
9415217875484
10131043244144
115063654997a
122149214a894
13c485073067
1464b1c72448
15361e737d64
hex1e82c93870

131043244144 has 80 divisors (see below), whose sum is σ = 267865911040. Its totient is φ = 62021376000.

The previous prime is 131043244133. The next prime is 131043244187. The reversal of 131043244144 is 441442340131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 5464372 + ... + 5488300.

It is an arithmetic number, because the mean of its divisors is an integer number (3348323888).

Almost surely, 2131043244144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131043244144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133932955520).

131043244144 is an abundant number, since it is smaller than the sum of its proper divisors (136822666896).

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

131043244144 is a wasteful number, since it uses less digits than its factorization.

131043244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24210 (or 24204 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 131043244144 its reverse (441442340131), we get a palindrome (572485584275).

The spelling of 131043244144 in words is "one hundred thirty-one billion, forty-three million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 61 62 122 124 181 244 248 362 488 496 724 976 1448 1891 2896 3782 5611 7564 11041 11222 15128 22082 22444 23929 30256 44164 44888 47858 88328 89776 95716 176656 191432 342271 382864 684542 741799 1369084 1459669 1483598 2738168 2919338 2967196 4331149 5476336 5838676 5934392 8662298 11677352 11868784 17324596 23354704 34649192 45249739 69298384 90499478 134265619 180998956 264200089 268531238 361997912 528400178 537062476 723995824 1056800356 1074124952 2113600712 2148249904 4227201424 8190202759 16380405518 32760811036 65521622072 131043244144