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214311104304 = 24311894560587
BaseRepresentation
bin1100011110010111101…
…1111110111100110000
3202111011201011002221120
43013211323332330300
512002402120314204
6242241514422240
721324554221113
oct3074573767460
9674151132846
10214311104304
1182986038730
1235650431980
131729521622b
14a530a1c57a
155894a5b6d9
hex31e5efef30

214311104304 has 80 divisors (see below), whose sum is σ = 610753944960. Its totient is φ = 64213050880.

The previous prime is 214311104279. The next prime is 214311104309. The reversal of 214311104304 is 403401113412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214311104309) 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, 2233302 + ... + 2327285.

It is an arithmetic number, because the mean of its divisors is an integer number (7634424312).

Almost surely, 2214311104304 is an apocalyptic number.

214311104304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214311104304 is an abundant number, since it is smaller than the sum of its proper divisors (396442840656).

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

214311104304 is a wasteful number, since it uses less digits than its factorization.

214311104304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560698 (or 4560692 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214311104304 its reverse (403401113412), we get a palindrome (617712217716).

The spelling of 214311104304 in words is "two hundred fourteen billion, three hundred eleven million, one hundred four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 7832 11748 15664 23496 46992 4560587 9121174 13681761 18242348 27363522 36484696 50166457 54727044 72969392 100332914 109454088 150499371 200665828 218908176 300998742 401331656 405892243 601997484 802663312 811784486 1203994968 1217676729 1623568972 2407989936 2435353458 3247137944 4464814673 4870706916 6494275888 8929629346 9741413832 13394444019 17859258692 19482827664 26788888038 35718517384 53577776076 71437034768 107155552152 214311104304