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114214889808 = 2434297129663
BaseRepresentation
bin110101001011110111…
…1001110100101010000
3101220210211110120020000
41222113233032211100
53332403002433213
6124245233250000
711152231354635
oct1522757164520
9356724416200
10114214889808
1144490367218
121a176403900
13aa027ba046
145756cb418c
152e87168c73
hex1a97bce950

114214889808 has 100 divisors (see below), whose sum is σ = 330693441408. Its totient is φ = 38057532480.

The previous prime is 114214889771. The next prime is 114214889879. The reversal of 114214889808 is 808988412411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3835585 + ... + 3865247.

Almost surely, 2114214889808 is an apocalyptic number.

114214889808 is a gapful number since it is divisible by the number (18) 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 114214889808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165346720704).

114214889808 is an abundant number, since it is smaller than the sum of its proper divisors (216478551600).

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

114214889808 is a wasteful number, since it uses less digits than its factorization.

114214889808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32654 (or 32639 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 114214889808 in words is "one hundred fourteen billion, two hundred fourteen million, eight hundred eighty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2971 5942 8913 11884 17826 23768 26739 29663 35652 47536 53478 59326 71304 80217 88989 106956 118652 142608 160434 177978 213912 237304 240651 266967 320868 355956 427824 474608 481302 533934 641736 711912 800901 962604 1067868 1283472 1423824 1601802 1925208 2135736 2402703 3203604 3850416 4271472 4805406 6407208 9610812 12814416 19221624 38443248 88128773 176257546 264386319 352515092 528772638 705030184 793158957 1057545276 1410060368 1586317914 2115090552 2379476871 3172635828 4230181104 4758953742 6345271656 7138430613 9517907484 12690543312 14276861226 19035814968 28553722452 38071629936 57107444904 114214889808