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2214331321140 = 2232512301840673
BaseRepresentation
bin100000001110010000011…
…011101000101100110100
321211200120120001002012100
4200032100123220230310
5242234422304234030
64413125541022100
7315660123450321
oct40162033505464
97750516032170
102214331321140
11784102337744
122b919b0b4930
13130a6ca08613
1479262051b48
153c8ee6ce360
hex203906e8b34

2214331321140 has 36 divisors (see below), whose sum is σ = 6716805008004. Its totient is φ = 590488352256.

The previous prime is 2214331321109. The next prime is 2214331321261. The reversal of 2214331321140 is 411231334122.

2214331321140 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 331 + 321 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1716739339536 + 497591981604 = 1310244^2 + 705402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6150920157 + ... + 6150920516.

It is an arithmetic number, because the mean of its divisors is an integer number (186577916889).

Almost surely, 22214331321140 is an apocalyptic number.

2214331321140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214331321140 is an abundant number, since it is smaller than the sum of its proper divisors (4502473686864).

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

2214331321140 is a wasteful number, since it uses less digits than its factorization.

2214331321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12301840688 (or 12301840683 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2214331321140 its reverse (411231334122), we get a palindrome (2625562655262).

The spelling of 2214331321140 in words is "two trillion, two hundred fourteen billion, three hundred thirty-one million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12301840673 24603681346 36905522019 49207362692 61509203365 73811044038 110716566057 123018406730 147622088076 184527610095 221433132114 246036813460 369055220190 442866264228 553582830285 738110440380 1107165660570 2214331321140