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1313144233144 = 2319232917128767
BaseRepresentation
bin10011000110111101011…
…111101101110010111000
311122112110021112200100221
4103012331133231302320
5133003304410430034
62443130010105424
7163604636546662
oct23067537556270
94575407480327
101313144233144
114669a0760097
121925b541b274
1396aa13291a3
14477b113b532
1524257d67bb4
hex131bd7edcb8

1313144233144 has 64 divisors (see below), whose sum is σ = 2705364172800. Its totient is φ = 594762943104.

The previous prime is 1313144233109. The next prime is 1313144233147. The reversal of 1313144233144 is 4413324413131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313144233147) 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, 10133449 + ... + 10262215.

It is an arithmetic number, because the mean of its divisors is an integer number (42271315200).

Almost surely, 21313144233144 is an apocalyptic number.

It is an amenable number.

1313144233144 is an abundant number, since it is smaller than the sum of its proper divisors (1392219939656).

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

1313144233144 is a wasteful number, since it uses less digits than its factorization.

1313144233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131732 (or 131728 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 1313144233144 its reverse (4413324413131), we get a palindrome (5726468646275).

The spelling of 1313144233144 in words is "one trillion, three hundred thirteen billion, one hundred forty-four million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 874 1748 2917 3496 5834 11668 23336 55423 67091 110846 128767 134182 221692 257534 268364 443384 515068 536728 1030136 1274729 2446573 2549458 2961641 4893146 5098916 5923282 9786292 10197832 11846564 19572584 23693128 56271179 112542358 225084716 375613339 450169432 751226678 1502453356 3004906712 7136653441 8639106797 14273306882 17278213594 28546613764 34556427188 57093227528 69112854376 164143029143 328286058286 656572116572 1313144233144