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1312414440414 = 23711323477057
BaseRepresentation
bin10011000110010001111…
…111110001101111011110
311122110120102022100221120
4103012101333301233132
5133000311044043124
62442525340111410
7163550565452250
oct23062177615736
94573512270846
101312414440414
11466656812000
12192430b35566
13969b608827c
1447742249cd0
1524213c5cd79
hex13191ff1bde

1312414440414 has 64 divisors (see below), whose sum is σ = 3299559639552. Its totient is φ = 340886853120.

The previous prime is 1312414440397. The next prime is 1312414440419. The reversal of 1312414440414 is 4140444142131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312414440419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11682627 + ... + 11794430.

It is an arithmetic number, because the mean of its divisors is an integer number (51555619368).

Almost surely, 21312414440414 is an apocalyptic number.

1312414440414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1312414440414 is an abundant number, since it is smaller than the sum of its proper divisors (1987145199138).

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

1312414440414 is a wasteful number, since it uses less digits than its factorization.

1312414440414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23477102 (or 23477080 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 1312414440414 its reverse (4140444142131), we get a palindrome (5452858582545).

The spelling of 1312414440414 in words is "one trillion, three hundred twelve billion, four hundred fourteen million, four hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1331 1694 2541 2662 3993 5082 7986 9317 18634 27951 55902 23477057 46954114 70431171 140862342 164339399 258247627 328678798 493018197 516495254 774742881 986036394 1549485762 1807733389 2840723897 3615466778 5423200167 5681447794 8522171691 10846400334 17044343382 19885067279 31247962867 39770134558 59655201837 62495925734 93743888601 119310403674 187487777202 218735740069 437471480138 656207220207 1312414440414