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1881431145 = 35511140773
BaseRepresentation
bin111000000100100…
…0101110001101001
311212010020121100000
41300021011301221
512323121244040
6510405333213
764423620666
oct16011056151
94763217300
101881431145
11886023080
12446107209
1323ca31989
1413bc32a6d
15b0291130
hex70245c69

1881431145 has 48 divisors (see below), whose sum is σ = 3689404992. Its totient is φ = 912202560.

The previous prime is 1881431143. The next prime is 1881431177. The reversal of 1881431145 is 5411341881.

1881431145 is a `hidden beast` number, since 1 + 8 + 81 + 431 + 145 = 666.

It is not a de Polignac number, because 1881431145 - 21 = 1881431143 is a prime.

It is a super-2 number, since 2×18814311452 = 7079566306752022050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1881431143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57022 + ... + 83751.

It is an arithmetic number, because the mean of its divisors is an integer number (76862604).

Almost surely, 21881431145 is an apocalyptic number.

1881431145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1881431145 is a deficient number, since it is larger than the sum of its proper divisors (1807973847).

1881431145 is a wasteful number, since it uses less digits than its factorization.

1881431145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140804 (or 140792 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1881431145 is about 43375.4670868222. The cubic root of 1881431145 is about 1234.5142565703.

The spelling of 1881431145 in words is "one billion, eight hundred eighty-one million, four hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 405 495 891 1215 1485 2673 4455 13365 140773 422319 703865 1266957 1548503 2111595 3800871 4645509 6334785 7742515 11402613 13936527 19004355 23227545 34207839 41809581 57013065 69682635 125428743 171039195 209047905 376286229 627143715 1881431145