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114104002104 = 23341289136607
BaseRepresentation
bin110101001000100100…
…0001110011000111000
3101220112002210212220000
41222101020032120320
53332141111031404
6124230232433000
711146414005111
oct1522110163070
9356462725800
10114104002104
1144433809694
121a145248760
13a9b5833911
14574628b208
152e7c563339
hex1a9120e638

114104002104 has 80 divisors (see below), whose sum is σ = 319847140800. Its totient is φ = 38004882048.

The previous prime is 114104002097. The next prime is 114104002109. The reversal of 114104002104 is 401200401411.

114104002104 is a `hidden beast` number, since 1 + 1 + 410 + 40 + 0 + 210 + 4 = 666.

It is a super-2 number, since 2×1141040021042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114104002109) 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, 766969 + ... + 903575.

It is an arithmetic number, because the mean of its divisors is an integer number (3998089260).

Almost surely, 2114104002104 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 114104002104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159923570400).

114104002104 is an abundant number, since it is smaller than the sum of its proper divisors (205743138696).

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

114104002104 is a wasteful number, since it uses less digits than its factorization.

114104002104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137914 (or 137901 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114104002104 its reverse (401200401411), we get a palindrome (515304403515).

The spelling of 114104002104 in words is "one hundred fourteen billion, one hundred four million, 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 1289 2578 3867 5156 7734 10312 11601 15468 23202 30936 34803 46404 69606 92808 104409 136607 139212 208818 273214 278424 409821 417636 546428 819642 835272 1092856 1229463 1639284 2458926 3278568 3688389 4917852 7376778 9835704 11065167 14753556 22130334 29507112 44260668 88521336 176086423 352172846 528259269 704345692 1056518538 1408691384 1584777807 2113037076 3169555614 4226074152 4754333421 6339111228 9508666842 12678222456 14263000263 19017333684 28526000526 38034667368 57052001052 114104002104