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114114040542 = 2333188377201
BaseRepresentation
bin110101001000110111…
…0100001001011011110
3101220112210200220001000
41222101232201023132
53332201143244132
6124231231531130
711146565224515
oct1522156411336
9356483626030
10114114040542
1144439445717
121a148689aa6
13a9b7939b18
14574774167c
152e7d39787c
hex1a91ba12de

114114040542 has 64 divisors (see below), whose sum is σ = 262066821120. Its totient is φ = 36768816000.

The previous prime is 114114040541. The next prime is 114114040543. The reversal of 114114040542 is 245040411411.

It is a happy number.

114114040542 is a `hidden beast` number, since 1 + 1 + 4 + 114 + 0 + 4 + 0 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (114114040541) and next prime (114114040543).

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 (114114040541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1439542 + ... + 1516742.

It is an arithmetic number, because the mean of its divisors is an integer number (4094794080).

Almost surely, 2114114040542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114114040542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131033410560).

114114040542 is an abundant number, since it is smaller than the sum of its proper divisors (147952780578).

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

114114040542 is a wasteful number, since it uses less digits than its factorization.

114114040542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78126 (or 78120 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114114040542 its reverse (245040411411), we get a palindrome (359154451953).

The spelling of 114114040542 in words is "one hundred fourteen billion, one hundred fourteen million, forty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 883 1674 1766 2649 5298 7947 15894 23841 27373 47682 54746 77201 82119 154402 164238 231603 246357 463206 492714 694809 739071 1389618 1478142 2084427 2393231 4168854 4786462 7179693 14359386 21539079 43078158 64617237 68168483 129234474 136336966 204505449 409010898 613516347 1227032694 1840549041 2113222973 3681098082 4226445946 6339668919 12679337838 19019006757 38038013514 57057020271 114114040542