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1313424130040 = 235116434642387
BaseRepresentation
bin10011000111001110001…
…011011011111111111000
311122120011210012220201122
4103013032023123333320
5133004343034130130
62443213445204412
7163614605620631
oct23071613337770
94576153186648
101313424130040
11467024753840
12192673100708
1396b17308959
14477da39a888
15242727052e5
hex131ce2dbff8

1313424130040 has 64 divisors (see below), whose sum is σ = 3228873701760. Its totient is φ = 476865889920.

The previous prime is 1313424130033. The next prime is 1313424130043. The reversal of 1313424130040 is 400314243131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1313424129991 and 1313424130009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313424130043) 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, 2038274 + ... + 2604113.

It is an arithmetic number, because the mean of its divisors is an integer number (50451151590).

Almost surely, 21313424130040 is an apocalyptic number.

1313424130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313424130040 is an abundant number, since it is smaller than the sum of its proper divisors (1915449571720).

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

1313424130040 is a wasteful number, since it uses less digits than its factorization.

1313424130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643052 (or 4643048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1313424130040 its reverse (400314243131), we get a palindrome (1713738373171).

The spelling of 1313424130040 in words is "one trillion, three hundred thirteen billion, four hundred twenty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 643 1286 2572 3215 5144 6430 7073 12860 14146 25720 28292 35365 56584 70730 141460 282920 4642387 9284774 18569548 23211935 37139096 46423870 51066257 92847740 102132514 185695480 204265028 255331285 408530056 510662570 1021325140 2042650280 2985054841 5970109682 11940219364 14925274205 23880438728 29850548410 32835603251 59701096820 65671206502 119402193640 131342413004 164178016255 262684826008 328356032510 656712065020 1313424130040