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114434403792 = 2436749517187
BaseRepresentation
bin110101010010011010…
…0100110110111010000
3101221101010112000210120
41222210310212313100
53333330201410132
6124323114230240
711160535245252
oct1524464466720
9357333460716
10114434403792
1144593268335
121a217a25380
13aa39117487
1457780d5cd2
152e9b57a02c
hex1aa4d26dd0

114434403792 has 80 divisors (see below), whose sum is σ = 300136837632. Its totient is φ = 37562659200.

The previous prime is 114434403761. The next prime is 114434403793. The reversal of 114434403792 is 297304434411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114434403793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15918823 + ... + 15926009.

Almost surely, 2114434403792 is an apocalyptic number.

114434403792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434403792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150068418816).

114434403792 is an abundant number, since it is smaller than the sum of its proper divisors (185702433840).

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

114434403792 is a wasteful number, since it uses less digits than its factorization.

114434403792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12216 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 114434403792 in words is "one hundred fourteen billion, four hundred thirty-four million, four hundred three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 4951 7187 9902 14374 14853 19804 21561 28748 29706 39608 43122 57496 59412 79216 86244 114992 118824 172488 237648 331717 344976 481529 663434 963058 995151 1326868 1444587 1926116 1990302 2653736 2889174 3852232 3980604 5307472 5778348 7704464 7961208 11556696 15922416 23113392 35582837 71165674 106748511 142331348 213497022 284662696 426994044 569325392 853988088 1707976176 2384050079 4768100158 7152150237 9536200316 14304300474 19072400632 28608600948 38144801264 57217201896 114434403792