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1313404042440 = 233571791975073
BaseRepresentation
bin10011000111001100111…
…110110011110011001000
311122120010101102100201110
4103013030332303303020
5133004322413324230
62443211450450320
7163614243105330
oct23071476636310
94576111370643
101313404042440
11467014383716
121926684339a0
1396b130c46b9
14477d784c0c0
1524270a884b0
hex131ccfb3cc8

1313404042440 has 128 divisors (see below), whose sum is σ = 4767987836160. Its totient is φ = 282547421184.

The previous prime is 1313404042421. The next prime is 1313404042453. The reversal of 1313404042440 is 442404043131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1313404042398 and 1313404042407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45973257 + ... + 46001816.

It is an arithmetic number, because the mean of its divisors is an integer number (37249904970).

Almost surely, 21313404042440 is an apocalyptic number.

1313404042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313404042440 is an abundant number, since it is smaller than the sum of its proper divisors (3454583793720).

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

1313404042440 is a wasteful number, since it uses less digits than its factorization.

1313404042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91975111 (or 91975107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1313404042440 its reverse (442404043131), we get a palindrome (1755808085571).

The spelling of 1313404042440 in words is "one trillion, three hundred thirteen billion, four hundred four million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 91975073 183950146 275925219 367900292 459875365 551850438 643825511 735800584 919750730 1103700876 1287651022 1379626095 1563576241 1839501460 1931476533 2207401752 2575302044 2759252190 3127152482 3219127555 3679002920 3862953066 4690728723 5150604088 5518504380 6254304964 6438255110 7725906132 7817881205 9381457446 9657382665 10945033687 11037008760 12508609928 12876510220 15451812264 15635762410 18762914892 19314765330 21890067374 23453643615 25753020440 31271524820 32835101061 37525829784 38629530660 43780134748 46907287230 54725168435 62543049640 65670202122 77259061320 87560269496 93814574460 109450336870 131340404244 164175505305 187629148920 218900673740 262680808488 328351010610 437801347480 656702021220 1313404042440