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314441442612 = 223311264681349
BaseRepresentation
bin1001001001101100010…
…10111010010100110100
31010001121222001022202000
410210312022322110310
520122434002130422
6400241415215300
731501103106513
oct4446612722464
91101558038660
10314441442612
11111398aa6940
1250b35977530
1323861a2c41b
141130d0ca67a
1582a543ecac
hex49362ba534

314441442612 has 48 divisors (see below), whose sum is σ = 889329336000. Its totient is φ = 95285285280.

The previous prime is 314441442607. The next prime is 314441442641. The reversal of 314441442612 is 216244144413.

314441442612 is a `hidden beast` number, since 3 + 144 + 414 + 42 + 61 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 132339487 + ... + 132341862.

It is an arithmetic number, because the mean of its divisors is an integer number (18527694500).

Almost surely, 2314441442612 is an apocalyptic number.

It is an amenable number.

314441442612 is an abundant number, since it is smaller than the sum of its proper divisors (574887893388).

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

314441442612 is a wasteful number, since it uses less digits than its factorization.

314441442612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264681373 (or 264681365 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 314441442612 in words is "three hundred fourteen billion, four hundred forty-one million, four hundred forty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 264681349 529362698 794044047 1058725396 1588088094 2382132141 2911494839 3176176188 4764264282 5822989678 7146396423 8734484517 9528528564 11645979356 14292792846 17468969034 26203453551 28585585692 34937938068 52406907102 78610360653 104813814204 157220721306 314441442612