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2141312131412 = 221016073872761
BaseRepresentation
bin11111001010010000001…
…001100010000101010100
321120201002201112220121222
4133022100021202011110
5240040401401201122
64315412154225512
7310463465542256
oct37122011420524
97521081486558
102141312131412
11756141968753
122a7001125298
13126c03c1b08c
14758d6479cd6
153aa78ed8b42
hex1f290262154

2141312131412 has 24 divisors (see below), whose sum is σ = 3785025661032. Its totient is φ = 1059879744000.

The previous prime is 2141312131403. The next prime is 2141312131429.

It is a happy number.

2141312131412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 819557226436 + 1321754904976 = 905294^2 + 1149676^2 .

It is a super-2 number, since 2×21413121314122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017112 + ... + 2889872.

It is an arithmetic number, because the mean of its divisors is an integer number (157709402543).

Almost surely, 22141312131412 is an apocalyptic number.

It is an amenable number.

2141312131412 is a deficient number, since it is larger than the sum of its proper divisors (1643713529620).

2141312131412 is a wasteful number, since it uses less digits than its factorization.

2141312131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878939 (or 878937 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The spelling of 2141312131412 in words is "two trillion, one hundred forty-one billion, three hundred twelve million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 101 202 404 6073 12146 24292 613373 872761 1226746 1745522 2453492 3491044 88148861 176297722 352595444 5300277553 10600555106 21201110212 535328032853 1070656065706 2141312131412