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114115342104 = 23341487118429
BaseRepresentation
bin110101001000111001…
…1011110111100011000
3101220112220011000110000
41222101303132330120
53332202011421404
6124231315453000
711146612255251
oct1522163367430
9356486130400
10114115342104
114443a154595
121a148bb7160
13a9b7ca438a
14574799db28
152e7d553339
hex1a91cdef18

114115342104 has 80 divisors (see below), whose sum is σ = 319846269600. Its totient is φ = 38012545728.

The previous prime is 114115342013. The next prime is 114115342109. The reversal of 114115342104 is 401243511411.

It is a happy number.

114115342104 is a `hidden beast` number, since 1 + 1 + 411 + 5 + 34 + 210 + 4 = 666.

It is a super-2 number, since 2×1141153421042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114115342109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 904362 + ... + 1022790.

It is an arithmetic number, because the mean of its divisors is an integer number (3998078370).

Almost surely, 2114115342104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114115342104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159923134800).

114115342104 is an abundant number, since it is smaller than the sum of its proper divisors (205730927496).

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

114115342104 is a wasteful number, since it uses less digits than its factorization.

114115342104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119934 (or 119921 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114115342104 its reverse (401243511411), we get a palindrome (515358853515).

The spelling of 114115342104 in words is "one hundred fourteen billion, one hundred fifteen million, three hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1487 2974 4461 5948 8922 11896 13383 17844 26766 35688 40149 53532 80298 107064 118429 120447 160596 236858 240894 321192 355287 473716 481788 710574 947432 963576 1065861 1421148 2131722 2842296 3197583 4263444 6395166 8526888 9592749 12790332 19185498 25580664 38370996 76741992 176103923 352207846 528311769 704415692 1056623538 1408831384 1584935307 2113247076 3169870614 4226494152 4754805921 6339741228 9509611842 12679482456 14264417763 19019223684 28528835526 38038447368 57057671052 114115342104