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114005456550 = 232525311514153
BaseRepresentation
bin110101000101101000…
…0010011011010100110
3101220021020101020210200
41222023100103122212
53331440344102200
6124212352331330
711144106251226
oct1521320233246
9356236336720
10114005456550
1144393120987
121a118243b46
13a99b2ac13b
145737158086
152e73a99800
hex1a8b4136a6

114005456550 has 144 divisors (see below), whose sum is σ = 312420146688. Its totient is φ = 29794752000.

The previous prime is 114005456549. The next prime is 114005456573. The reversal of 114005456550 is 55654500411.

114005456550 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 54 + 56 + 550 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27449274 + ... + 27453426.

It is an arithmetic number, because the mean of its divisors is an integer number (2169584352).

Almost surely, 2114005456550 is an apocalyptic number.

114005456550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114005456550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156210073344).

114005456550 is an abundant number, since it is smaller than the sum of its proper divisors (198414690138).

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

114005456550 is a wasteful number, since it uses less digits than its factorization.

114005456550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5367 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 114005456550 its reverse (55654500411), we get a palindrome (169659956961).

The spelling of 114005456550 in words is "one hundred fourteen billion, five million, four hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 530 795 954 1151 1325 1590 2302 2385 2650 3453 3975 4153 4770 5755 6906 7950 8306 10359 11510 11925 12459 17265 20718 20765 23850 24918 28775 34530 37377 41530 51795 57550 61003 62295 74754 86325 103590 103825 122006 124590 172650 183009 186885 207650 220109 258975 305015 311475 366018 373770 440218 517950 549027 610030 622950 660327 915045 934425 1098054 1100545 1320654 1525075 1830090 1868850 1980981 2201090 2745135 3050150 3301635 3961962 4575225 4780103 5490270 5502725 6603270 9150450 9560206 9904905 11005450 13725675 14340309 16508175 19809810 23900515 27451350 28680618 33016350 43020927 47801030 49524525 71701545 86041854 99049050 119502575 143403090 215104635 239005150 253345459 358507725 430209270 506690918 717015450 760036377 1075523175 1266727295 1520072754 2151046350 2280109131 2533454590 3800181885 4560218262 6333636475 7600363770 11400545655 12667272950 19000909425 22801091310 38001818850 57002728275 114005456550