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3144557699712 = 273211131729311249
BaseRepresentation
bin101101110000100110001…
…111101010001010000000
3102010121122122002021211100
4231300212033222022000
5403010023232342322
610404331224414400
7443121033300462
oct55604617521200
912117578067740
103144557699712
1110026659300a0
1242952a017400
1319a6b871b620
14ac2a9970132
1556be564edac
hex2dc263ea280

3144557699712 has 1536 divisors, whose sum is σ = 12029472000000. Its totient is φ = 772905369600.

The previous prime is 3144557699653. The next prime is 3144557699753. The reversal of 3144557699712 is 2179967554413.

3144557699712 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 557 + 6 + 9 + 9 + 71 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3144557699712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2517659664 + ... + 2517660912.

It is an arithmetic number, because the mean of its divisors is an integer number (7831687500).

Almost surely, 23144557699712 is an apocalyptic number.

3144557699712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144557699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014736000000).

3144557699712 is an abundant number, since it is smaller than the sum of its proper divisors (8884914300288).

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

3144557699712 is a wasteful number, since it uses less digits than its factorization.

3144557699712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1355 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 3144557699712 in words is "three trillion, one hundred forty-four billion, five hundred fifty-seven million, six hundred ninety-nine thousand, seven hundred twelve".