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1313133014440 = 235134358726879
BaseRepresentation
bin10011000110111100110…
…100111010110110101000
311122112102111102201012101
4103012330310322312220
5133003244022430230
62443124525423144
7163604442313252
oct23067464726650
94575374381171
101313133014440
11466995398335
121925b170aab4
1396a9bbcb9c0
14477ad85acd2
1524256d9daca
hex131bcd3ada8

1313133014440 has 64 divisors (see below), whose sum is σ = 3255818227200. Its totient is φ = 473573544192.

The previous prime is 1313133014341. The next prime is 1313133014443. The reversal of 1313133014440 is 444103313131.

It is a super-2 number, since 2×13131330144402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313133014399 and 1313133014408.

It is not an unprimeable number, because it can be changed into a prime (1313133014443) 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, 29341080 + ... + 29385799.

It is an arithmetic number, because the mean of its divisors is an integer number (50872159800).

Almost surely, 21313133014440 is an apocalyptic number.

1313133014440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313133014440 is an abundant number, since it is smaller than the sum of its proper divisors (1942685212760).

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

1313133014440 is a wasteful number, since it uses less digits than its factorization.

1313133014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58726946 (or 58726942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1313133014440 its reverse (444103313131), we get a palindrome (1757236327571).

The spelling of 1313133014440 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 430 520 559 860 1118 1720 2236 2795 4472 5590 11180 22360 58726879 117453758 234907516 293634395 469815032 587268790 763449427 1174537580 1526898854 2349075160 2525255797 3053797708 3817247135 5050511594 6107595416 7634494270 10101023188 12626278985 15268988540 20202046376 25252557970 30537977080 32828325361 50505115940 65656650722 101010231880 131313301444 164141626805 262626602888 328283253610 656566507220 1313133014440