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214311043104 = 25340111294931
BaseRepresentation
bin1100011110010111101…
…1110000000000100000
3202111011201000222222220
43013211323300000200
512002402111334404
6242241513231040
721324553544514
oct3074573600040
9674151028886
10214311043104
1182985aa6754
1235650402480
13172951c4412
14a530a04144
155894a484d9
hex31e5ef0020

214311043104 has 96 divisors (see below), whose sum is σ = 564583400640. Its totient is φ = 71181312000.

The previous prime is 214311043073. The next prime is 214311043169. The reversal of 214311043104 is 401340113412.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43459519 + ... + 43464449.

It is an arithmetic number, because the mean of its divisors is an integer number (5881077090).

Almost surely, 2214311043104 is an apocalyptic number.

214311043104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214311043104 is an abundant number, since it is smaller than the sum of its proper divisors (350272357536).

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

214311043104 is a wasteful number, since it uses less digits than its factorization.

214311043104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6474 (or 6466 counting only the distinct ones).

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

Adding to 214311043104 its reverse (401340113412), we get a palindrome (615651156516).

The spelling of 214311043104 in words is "two hundred fourteen billion, three hundred eleven million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1129 1203 1604 2258 2406 3208 3387 4516 4812 4931 6416 6774 9032 9624 9862 12832 13548 14793 18064 19248 19724 27096 29586 36128 38496 39448 54192 59172 78896 108384 118344 157792 236688 452729 473376 905458 1358187 1810916 1977331 2716374 3621832 3954662 5432748 5567099 5931993 7243664 7909324 10865496 11134198 11863986 14487328 15818648 16701297 21730992 22268396 23727972 31637296 33402594 43461984 44536792 47455944 63274592 66805188 89073584 94911888 133610376 178147168 189823776 267220752 534441504 2232406699 4464813398 6697220097 8929626796 13394440194 17859253592 26788880388 35718507184 53577760776 71437014368 107155521552 214311043104