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6140001285 = 355113891181
BaseRepresentation
bin1011011011111100…
…01111110000000101
3120211220111101100000
411231332033300011
5100033320020120
62453133311513
7305104102245
oct55576176005
916756441300
106140001285
112670963930
121234335599
1376b0a6872
14423653b25
1525e08e990
hex16df8fc05

6140001285 has 96 divisors (see below), whose sum is σ = 12081363840. Its totient is φ = 2966803200.

The previous prime is 6140001281. The next prime is 6140001313. The reversal of 6140001285 is 5821000416.

It is not a de Polignac number, because 6140001285 - 22 = 6140001281 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140001281) 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 95 ways as a sum of consecutive naturals, for example, 5198395 + ... + 5199575.

It is an arithmetic number, because the mean of its divisors is an integer number (125847540).

Almost surely, 26140001285 is an apocalyptic number.

It is an amenable number.

6140001285 is a deficient number, since it is larger than the sum of its proper divisors (5941362555).

6140001285 is a wasteful number, since it uses less digits than its factorization.

6140001285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6140001285 is about 78358.1602961683. The cubic root of 6140001285 is about 1831.1453593172.

The spelling of 6140001285 in words is "six billion, one hundred forty million, one thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 297 389 405 495 891 1167 1181 1215 1485 1945 2673 3501 3543 4279 4455 5835 5905 10503 10629 12837 12991 13365 17505 17715 21395 31509 31887 38511 38973 52515 53145 64185 64955 94527 95661 115533 116919 157545 159435 192555 194865 286983 346599 350757 459409 472635 478305 577665 584595 1039797 1052271 1378227 1434915 1732995 1753785 2297045 3156813 4134681 5053499 5198985 5261355 6891135 12404043 15160497 15784065 20673405 25267495 37212129 45481491 62020215 75802485 111636387 136444473 186060645 227407455 409333419 558181935 682222365 1228000257 2046667095 6140001285