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114431240104302 = 231110351829324781
BaseRepresentation
bin11010000001001100011001…
…011010101110100101101110
3120000011112000212120120201010
4122001030121122232211232
5104444320134431314202
61043212552545530050
733050245543112202
oct3201143132564556
9500145025516633
10114431240104302
113350901a905980
1210a0165a943926
134bb0a86996934
14203870445ab02
15d369449ed76c
hex6813196ae96e

114431240104302 has 64 divisors (see below), whose sum is σ = 252097763074560. Its totient is φ = 34338703593600.

The previous prime is 114431240104301. The next prime is 114431240104403. The reversal of 114431240104302 is 203401042134411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114431240104302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114431240104301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352171152 + ... + 352495932.

It is an arithmetic number, because the mean of its divisors is an integer number (3939027548040).

Almost surely, 2114431240104302 is an apocalyptic number.

114431240104302 is an abundant number, since it is smaller than the sum of its proper divisors (137666522970258).

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

114431240104302 is a wasteful number, since it uses less digits than its factorization.

114431240104302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376729.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114431240104302 its reverse (203401042134411), we get a palindrome (317832282238713).

The spelling of 114431240104302 in words is "one hundred fourteen trillion, four hundred thirty-one billion, two hundred forty million, one hundred four thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 103 206 309 618 1133 2266 3399 6798 51829 103658 155487 310974 324781 570119 649562 974343 1140238 1710357 1948686 3420714 3572591 5338387 7145182 10676774 10717773 16015161 21435546 32030322 33452443 58722257 66904886 100357329 117444514 176166771 200714658 352333542 367976873 735953746 1103930619 2207861238 16833074449 33666148898 50499223347 100998446694 185163818939 370327637878 555491456817 1110982913634 1733806668247 3467613336494 5201420004741 10402840009482 19071873350717 38143746701434 57215620052151 114431240104302