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2141324231412 = 2233733863142421
BaseRepresentation
bin11111001010010000110…
…111101100001011110100
321120201010120022122201010
4133022100313230023310
5240040413000401122
64315413305432220
7310464003436242
oct37122067541364
97521116278633
102141324231412
11756148782653
122a700519b670
13126c06596742
14758d7d09792
153aa7a0c8e0c
hex1f290dec2f4

2141324231412 has 48 divisors (see below), whose sum is σ = 5131649238912. Its totient is φ = 694458149760.

The previous prime is 2141324231401. The next prime is 2141324231437.

It is a happy number.

2141324231412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2141324231412.

It is a congruent number.

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, 14963962 + ... + 15106382.

It is an arithmetic number, because the mean of its divisors is an integer number (106909359144).

Almost surely, 22141324231412 is an apocalyptic number.

It is an amenable number.

2141324231412 is an abundant number, since it is smaller than the sum of its proper divisors (2990325007500).

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

2141324231412 is a wasteful number, since it uses less digits than its factorization.

2141324231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176328 (or 176326 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 2141324231412 in words is "two trillion, one hundred forty-one billion, three hundred twenty-four million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 33863 67726 101589 135452 142421 203178 284842 406356 427263 569684 854526 1252931 1709052 2505862 3758793 5011724 5269577 7517586 10539154 15035172 15808731 21078308 31617462 63234924 4822802323 9645604646 14468406969 19291209292 28936813938 57873627876 178443685951 356887371902 535331057853 713774743804 1070662115706 2141324231412