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1314233344431 = 337101161342683
BaseRepresentation
bin10011000111111110011…
…010010110000110101111
311122122021011220021012000
4103013332122112012233
5133013022214010211
62443430033343343
7163643633052360
oct23077632260657
94578234807160
101314233344431
114673aa508567
1219285a107b53
1396c15b66937
1447875a43b67
15242bd79c656
hex131fe6961af

1314233344431 has 64 divisors (see below), whose sum is σ = 2248634096640. Its totient is φ = 743076547200.

The previous prime is 1314233344381. The next prime is 1314233344451. The reversal of 1314233344431 is 1344433324131.

1314233344431 is a `hidden beast` number, since 1 + 314 + 2 + 3 + 334 + 4 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 1314233344431 - 26 = 1314233344367 is a prime.

It is a super-2 number, since 2×13142333444312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314233344451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30769216 + ... + 30811898.

It is an arithmetic number, because the mean of its divisors is an integer number (35134907760).

Almost surely, 21314233344431 is an apocalyptic number.

1314233344431 is a deficient number, since it is larger than the sum of its proper divisors (934400752209).

1314233344431 is a wasteful number, since it uses less digits than its factorization.

1314233344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44413 (or 44407 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 1314233344431 its reverse (1344433324131), we get a palindrome (2658666668562).

The spelling of 1314233344431 in words is "one trillion, three hundred fourteen billion, two hundred thirty-three million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 101 189 303 707 909 1613 2121 2727 4839 6363 11291 14517 19089 33873 42683 43551 101619 128049 162913 298781 304857 384147 488739 896343 1140391 1152441 1466217 2689029 3421173 4310983 4398651 8067087 10263519 12932949 30176881 30790557 38798847 68847679 90530643 116396541 206543037 271591929 481933753 619629111 814775787 1445801259 1858887333 4337403777 6953615579 13012211331 20860846737 48675309053 62582540211 146025927159 187747620633 438077781477 1314233344431