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2014201312431 = 3711174728973767
BaseRepresentation
bin11101010011110111110…
…000001111010010101111
321010120000011010021021120
4131103313300033102233
5231000041013444211
64141151124232023
7265343533445220
oct35236760172257
97116004107246
102014201312431
11707244149030
12286447b3b613
13117c27799a19
146d6b89ab247
15375d9b28d06
hex1d4f7c0f4af

2014201312431 has 128 divisors (see below), whose sum is σ = 3622882443264. Its totient is φ = 963247595520.

The previous prime is 2014201312427. The next prime is 2014201312471. The reversal of 2014201312431 is 1342131024102.

It is not a de Polignac number, because 2014201312431 - 22 = 2014201312427 is a prime.

It is a super-2 number, since 2×20142013124312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014201312411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 534694510 + ... + 534698276.

It is an arithmetic number, because the mean of its divisors is an integer number (28303769088).

Almost surely, 22014201312431 is an apocalyptic number.

2014201312431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2014201312431 is a deficient number, since it is larger than the sum of its proper divisors (1608681130833).

2014201312431 is a wasteful number, since it uses less digits than its factorization.

2014201312431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749.

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

Adding to 2014201312431 its reverse (1342131024102), we get a palindrome (3356332336533).

The spelling of 2014201312431 in words is "two trillion, fourteen billion, two hundred one million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 11 17 21 33 47 51 77 119 141 187 231 329 357 517 561 799 987 1309 1551 2397 2897 3619 3767 3927 5593 8691 8789 10857 11301 16779 20279 26367 26369 31867 41437 49249 60837 61523 64039 79107 95601 124311 136159 147747 177049 184569 192117 223069 290059 344743 408477 448273 531147 541739 669207 704429 870177 953113 1034229 1239343 1344819 1497749 1625217 1947539 2113287 2314703 2859339 3009833 3718029 3792173 4493247 4931003 5842617 6944109 9029499 10484243 10912999 11376519 13632773 14793009 16202921 21068831 25461733 31452729 32738997 33108163 40898319 48608763 63206493 76385199 76390993 99324489 120042989 178232131 185520983 229172979 231757141 360128967 512910953 534696393 556562949 695271423 840300923 1298646881 1538732859 2040730813 2520902769 3590376671 3895940643 5642020483 6122192439 8719486201 10771130013 14285115691 16926061449 26158458603 39494143381 42855347073 61036403407 95914348211 118482430143 183109210221 287743044633 671400437477 2014201312431