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14922840141 = 3311193477621
BaseRepresentation
bin11011110010111100…
…00111100001001101
31102111222221211021000
431321132013201031
5221030221341031
610504440130513
71035542022366
oct157136074115
942458854230
1014922840141
116368610740
122a85766a39
13153a871631
14a17c9ab6d
155c51723e6
hex37978784d

14922840141 has 64 divisors (see below), whose sum is σ = 25463577600. Its totient is φ = 8542324800.

The previous prime is 14922840133. The next prime is 14922840157. The reversal of 14922840141 is 14104822941.

14922840141 is a `hidden beast` number, since 1 + 492 + 28 + 4 + 0 + 141 = 666.

It is not a de Polignac number, because 14922840141 - 23 = 14922840133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14922840096 and 14922840105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14922840181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1954311 + ... + 1961931.

It is an arithmetic number, because the mean of its divisors is an integer number (397868400).

Almost surely, 214922840141 is an apocalyptic number.

14922840141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14922840141 is a deficient number, since it is larger than the sum of its proper divisors (10540737459).

14922840141 is a wasteful number, since it uses less digits than its factorization.

14922840141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14922840141 in words is "fourteen billion, nine hundred twenty-two million, eight hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 99 171 209 297 347 513 627 1041 1881 3123 3817 5643 6593 7621 9369 11451 19779 22863 34353 59337 68589 72523 83831 103059 144799 178011 205767 217569 251493 434397 652707 754479 1303191 1592789 1958121 2263437 2644487 3909573 4778367 7933461 14335101 23800383 29089357 43005303 50245253 71401149 87268071 150735759 261804213 452207277 552697783 785412639 1356621831 1658093349 4974280047 14922840141