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1304400311214 = 2371113317005899
BaseRepresentation
bin10010111110110100010…
…100010011001110101110
311121200212220022102102120
4102332310110103032232
5132332402434424324
62435122213333410
7163145153464140
oct22766424231656
94550786272376
101304400311214
11463213a74130
12190975037266
1396009938ca0
14471c1b44c90
1523de53c1179
hex12fb45133ae

1304400311214 has 128 divisors (see below), whose sum is σ = 3615716966400. Its totient is φ = 302654793600.

The previous prime is 1304400311171. The next prime is 1304400311251. The reversal of 1304400311214 is 4121130044031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3316764 + ... + 3689135.

It is an arithmetic number, because the mean of its divisors is an integer number (28247788800).

Almost surely, 21304400311214 is an apocalyptic number.

1304400311214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1304400311214 is an abundant number, since it is smaller than the sum of its proper divisors (2311316655186).

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

1304400311214 is a wasteful number, since it uses less digits than its factorization.

1304400311214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005966.

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

Adding to 1304400311214 its reverse (4121130044031), we get a palindrome (5425530355245).

The spelling of 1304400311214 in words is "one trillion, three hundred four billion, four hundred million, three hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 31 33 39 42 62 66 77 78 91 93 143 154 182 186 217 231 273 286 341 403 429 434 462 546 651 682 806 858 1001 1023 1209 1302 2002 2046 2387 2418 2821 3003 4433 4774 5642 6006 7161 8463 8866 13299 14322 16926 26598 31031 62062 93093 186186 7005899 14011798 21017697 42035394 49041293 77064889 91076687 98082586 147123879 154129778 182153374 217182869 231194667 273230061 294247758 434365738 462389334 539454223 546460122 637536809 651548607 1001843557 1078908446 1275073618 1303097214 1520280083 1618362669 1912610427 2003687114 2389011559 2823377297 3005530671 3040560166 3236725338 3825220854 4560840249 4778023118 5646754594 6011061342 7012904899 7167034677 8470131891 9121680498 14025809798 14334069354 16723080913 16940263782 19763641079 21038714697 31057150267 33446161826 39527282158 42077429394 50169242739 59290923237 62114300534 93171450801 100338485478 118581846474 186342901602 217400051869 434800103738 652200155607 1304400311214