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2114140321404 = 2232311949971981
BaseRepresentation
bin11110110000111100100…
…101010011011001111100
321111002222001222221120100
4132300330211103121330
5234114224410241104
64255120032121100
7305512240141266
oct36607445233174
97432861887510
102114140321404
11745669106721
122a1899396190
131244937733a7
14744798b2b36
1539ed8817139
hex1ec3c95367c

2114140321404 has 72 divisors (see below), whose sum is σ = 5519302588800. Its totient is φ = 681630134400.

The previous prime is 2114140321393. The next prime is 2114140321411. The reversal of 2114140321404 is 4041230414112.

2114140321404 is a `hidden beast` number, since 2 + 1 + 1 + 41 + 403 + 214 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689094 + ... + 2661074.

It is an arithmetic number, because the mean of its divisors is an integer number (76656980400).

Almost surely, 22114140321404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114140321404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759651294400).

2114140321404 is an abundant number, since it is smaller than the sum of its proper divisors (3405162267396).

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

2114140321404 is a wasteful number, since it uses less digits than its factorization.

2114140321404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973971 (or 973966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2114140321404 its reverse (4041230414112), we get a palindrome (6155370735516).

The spelling of 2114140321404 in words is "two trillion, one hundred fourteen billion, one hundred forty million, three hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1949 3898 5847 7796 11694 17541 23388 35082 60419 70164 120838 181257 241676 362514 543771 725028 971981 1087542 1943962 2175084 2915943 3887924 5831886 8747829 11663772 17495658 30131411 34991316 60262822 90394233 120525644 180788466 271182699 361576932 542365398 1084730796 1894390969 3788781938 5683172907 7577563876 11366345814 17049518721 22732691628 34099037442 58726120039 68198074884 117452240078 176178360117 234904480156 352356720234 528535080351 704713440468 1057070160702 2114140321404