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114440313442400 = 25521121182234643
BaseRepresentation
bin11010000001010100110110…
…001110110001000001100000
3120000012101110012122220200022
4122001110312032301001200
5104444442230220124100
61043221053151013012
733051016436162021
oct3201246616610140
9500171405586608
10114440313442400
1133511956538100
1210a0337150a168
134bb18a16b3c4a
142038d254c2c48
15d36cc6364e85
hex6815363b1060

114440313442400 has 108 divisors (see below), whose sum is σ = 307084266544356. Its totient is φ = 41614659398400.

The previous prime is 114440313442397. The next prime is 114440313442417. The reversal of 114440313442400 is 4244313044411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 591020522 + ... + 591214121.

Almost surely, 2114440313442400 is an apocalyptic number.

114440313442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114440313442400 is an abundant number, since it is smaller than the sum of its proper divisors (192643953101956).

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

114440313442400 is a wasteful number, since it uses less digits than its factorization.

114440313442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182234685 (or 1182234661 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 114440313442400 its reverse (4244313044411), we get a palindrome (118684626486811).

The spelling of 114440313442400 in words is "one hundred fourteen trillion, four hundred forty billion, three hundred thirteen million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 48400 96800 1182234643 2364469286 4728938572 5911173215 9457877144 11822346430 13004581073 18915754288 23644692860 26009162146 29555866075 37831508576 47289385720 52018324292 59111732150 65022905365 94578771440 104036648584 118223464300 130045810730 143050391803 189157542880 208073297168 236446928600 260091621460 286100783606 325114526825 416146594336 472893857200 520183242920 572201567212 650229053650 715251959015 945787714400 1040366485840 1144403134424 1300458107300 1430503918030 2080732971680 2288806268848 2600916214600 2861007836060 3576259795075 4577612537696 5201832429200 5722015672120 7152519590150 10403664858400 11444031344240 14305039180300 22888062688480 28610078360600 57220156721200 114440313442400