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114255134022321 = 3231718369492043
BaseRepresentation
bin11001111110101000011000…
…101011010101101010110001
3112222112200110201220200210100
4121332220120223111222301
5104433424003302203241
61043000030045223013
733031442506112565
oct3176503053255261
9488480421820710
10114255134022321
113345036a591a66
12109934b1261a69
134b9a29c9b0bb6
14202dd9987d6a5
15d320890b39b6
hex67ea18ad5ab1

114255134022321 has 48 divisors (see below), whose sum is σ = 174839758958592. Its totient is φ = 71799177794400.

The previous prime is 114255134022301. The next prime is 114255134022349. The reversal of 114255134022321 is 123220431552411.

114255134022321 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 5 + 13 + 402 + 232 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-114255134022321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114255134022301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33101875 + ... + 36390168.

It is an arithmetic number, because the mean of its divisors is an integer number (3642494978304).

Almost surely, 2114255134022321 is an apocalyptic number.

It is an amenable number.

114255134022321 is a deficient number, since it is larger than the sum of its proper divisors (60584624936271).

114255134022321 is a wasteful number, since it uses less digits than its factorization.

114255134022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69492234 (or 69492231 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114255134022321 its reverse (123220431552411), we get a palindrome (237475565574732).

The spelling of 114255134022321 in words is "one hundred fourteen trillion, two hundred fifty-five billion, one hundred thirty-four million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 31 71 83 93 213 249 279 639 747 2201 2573 5893 6603 7719 17679 19809 23157 53037 182683 548049 1644147 69492043 208476129 625428387 2154253333 4933935053 5767839569 6462759999 14801805159 17303518707 19388279997 44405415477 51910556121 152951986643 178803026639 409516609399 458855959929 536409079917 1228549828197 1376567879787 1609227239751 3685649484591 12695014891369 38085044674107 114255134022321