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1316402311644 = 223379717951267
BaseRepresentation
bin10011001001111111101…
…100010011000111011100
311122211212100012012212000
4103021333230103013130
5133031442442433034
62444425154042300
7164051451012060
oct23117754230734
94584770165760
101316402311644
11468312871752
12193164579390
13971a03211a4
14479ddb23aa0
1524398dd9599
hex1327fb131dc

1316402311644 has 96 divisors (see below), whose sum is σ = 3940662351360. Its totient is φ = 372237451776.

The previous prime is 1316402311643. The next prime is 1316402311663. The reversal of 1316402311644 is 4461132046131.

1316402311644 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 0 + 2 + 3 + 1 + 1 + 644 = 666.

It is a super-3 number, since 3×13164023116443 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1316402311599 and 1316402311608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316402311643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902302 + ... + 9048965.

It is an arithmetic number, because the mean of its divisors is an integer number (41048566160).

Almost surely, 21316402311644 is an apocalyptic number.

1316402311644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1316402311644 is an abundant number, since it is smaller than the sum of its proper divisors (2624260039716).

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

1316402311644 is a wasteful number, since it uses less digits than its factorization.

1316402311644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951384 (or 17951376 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1316402311644 its reverse (4461132046131), we get a palindrome (5777534357775).

The spelling of 1316402311644 in words is "one trillion, three hundred sixteen billion, four hundred two million, three hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 10476 12222 18333 24444 36666 73332 17951267 35902534 53853801 71805068 107707602 125658869 161561403 215415204 251317738 323122806 376976607 484684209 502635476 646245612 753953214 969368418 1130929821 1507906428 1741272899 1938736836 2261859642 3392789463 3482545798 4523719284 5223818697 6785578926 6965091596 10447637394 12188910293 13571157852 15671456091 20895274788 24377820586 31342912182 36566730879 47014368273 48755641172 62685824364 73133461758 94028736546 109700192637 146266923516 188057473092 219400385274 329100577911 438800770548 658201155822 1316402311644