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114342222012240 = 24353631991311749
BaseRepresentation
bin11001111111111001011111…
…100001101001111101010000
3112222212000021001022222001110
4121333321133201221331100
5104441340332313342430
61043104031443133320
733040644565605045
oct3177713741517520
9488760231288043
10114342222012240
113348429a480852
12109a8356974240
134ba556b418991
14203429bb1b1cc
15d3448497c7b0
hex67fe5f869f50

114342222012240 has 80 divisors (see below), whose sum is σ = 354462134400000. Its totient is φ = 30491152006656.

The previous prime is 114342222012199. The next prime is 114342222012341. The reversal of 114342222012240 is 42210222243411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114342222012198 and 114342222012207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86511886 + ... + 87823634.

It is an arithmetic number, because the mean of its divisors is an integer number (4430776680000).

Almost surely, 2114342222012240 is an apocalyptic number.

114342222012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114342222012240 is an abundant number, since it is smaller than the sum of its proper divisors (240119912387760).

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

114342222012240 is a wasteful number, since it uses less digits than its factorization.

114342222012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674964 (or 1674958 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114342222012240 its reverse (42210222243411), we get a palindrome (156552444255651).

The spelling of 114342222012240 in words is "one hundred fourteen trillion, three hundred forty-two billion, two hundred twenty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 363199 726398 1089597 1311749 1452796 1815995 2179194 2623498 2905592 3631990 3935247 4358388 5246996 5447985 5811184 6558745 7263980 7870494 8716776 10493992 10895970 13117490 14527960 15740988 17433552 19676235 20987984 21791940 26234980 29055920 31481976 39352470 43583880 52469960 62963952 78704940 87167760 104939920 157409880 314819760 476425925051 952851850102 1429277775153 1905703700204 2382129625255 2858555550306 3811407400408 4764259250510 5717111100612 7146388875765 7622814800816 9528518501020 11434222201224 14292777751530 19057037002040 22868444402448 28585555503060 38114074004080 57171111006120 114342222012240