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1314614535444 = 2232717592965733
BaseRepresentation
bin10011001000010101001…
…000011110010100010100
311122200020202011202221200
4103020111020132110110
5133014312310113234
62443531531512500
7163656242115420
oct23102510362424
94580222152850
101314614535444
114675856a6a61
121929458b8730
1396c76b20c52
14478b050db80
15242e1e97d99
hex1321521e514

1314614535444 has 72 divisors (see below), whose sum is σ = 3799935659520. Its totient is φ = 375390493632.

The previous prime is 1314614535439. The next prime is 1314614535449. The reversal of 1314614535444 is 4445354164131.

1314614535444 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 61 + 45 + 3 + 544 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1314614535439) and next prime (1314614535449).

It is a super-2 number, since 2×13146145354442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1314614535444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314614535449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039599 + ... + 1926134.

It is an arithmetic number, because the mean of its divisors is an integer number (52776884160).

Almost surely, 21314614535444 is an apocalyptic number.

1314614535444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314614535444 is an abundant number, since it is smaller than the sum of its proper divisors (2485321124076).

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

1314614535444 is a wasteful number, since it uses less digits than its factorization.

1314614535444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967509 (or 2967504 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 1314614535444 its reverse (4445354164131), we get a palindrome (5759968699575).

The spelling of 1314614535444 in words is "one trillion, three hundred fourteen billion, six hundred fourteen million, five hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1759 3518 5277 7036 10554 12313 15831 21108 24626 31662 36939 49252 63324 73878 110817 147756 221634 443268 2965733 5931466 8897199 11862932 17794398 20760131 26691597 35588796 41520262 53383194 62280393 83040524 106766388 124560786 186841179 249121572 373682358 747364716 5216724347 10433448694 15650173041 20866897388 31300346082 36517070429 46950519123 62600692164 73034140858 93901038246 109551211287 146068281716 187802076492 219102422574 328653633861 438204845148 657307267722 1314614535444