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6140235105 = 335297919853
BaseRepresentation
bin1011011011111110…
…01000110101100001
3120211220221021002000
411231333020311201
5100033400010410
62453142314213
7305106065034
oct55577106541
916756837060
106140235105
112671003574
121234428969
1376b159114
144236b501b
1525e0d8dc0
hex16dfc8d61

6140235105 has 64 divisors (see below), whose sum is σ = 11435904000. Its totient is φ = 3121687296.

The previous prime is 6140235103. The next prime is 6140235113. The reversal of 6140235105 is 5015320416.

6140235105 is a `hidden beast` number, since 6 + 140 + 2 + 3 + 510 + 5 = 666.

It is not a de Polignac number, because 6140235105 - 21 = 6140235103 is a prime.

It is a super-2 number, since 2×61402351052 = 75404974289348722050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6140235103) 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, 299359 + ... + 319211.

It is an arithmetic number, because the mean of its divisors is an integer number (178686000).

Almost surely, 26140235105 is an apocalyptic number.

It is an amenable number.

6140235105 is a deficient number, since it is larger than the sum of its proper divisors (5295668895).

6140235105 is a wasteful number, since it uses less digits than its factorization.

6140235105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19975 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6140235105 is about 78359.6522771764. The cubic root of 6140235105 is about 1831.1686032305.

The spelling of 6140235105 in words is "six billion, one hundred forty million, two hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 27 29 45 79 87 135 145 237 261 395 435 711 783 1185 1305 2133 2291 3555 3915 6873 10665 11455 19853 20619 34365 59559 61857 99265 103095 178677 297795 309285 536031 575737 893385 1568387 1727211 2680155 2878685 4705161 5181633 7841935 8636055 14115483 15544899 23525805 25908165 42346449 45483223 70577415 77724495 136449669 211732245 227416115 409349007 682248345 1228047021 2046745035 6140235105