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6140099601 = 3210916933697
BaseRepresentation
bin1011011011111101…
…00111110000010001
3120211220200101012100
411231332213300101
5100033331141401
62453135351013
7305104662006
oct55576476021
916756611170
106140099601
112670a20789
121234382469
1376b10c53c
1442367b8ad
1525e0adb86
hex16dfa7c11

6140099601 has 24 divisors (see below), whose sum is σ = 8958109160. Its totient is φ = 4052353536.

The previous prime is 6140099591. The next prime is 6140099611. The reversal of 6140099601 is 1069900416.

6140099601 is a `hidden beast` number, since 6 + 1 + 40 + 0 + 9 + 9 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (6140099591) and next prime (6140099611).

It can be written as a sum of positive squares in 4 ways, for example, as 225720576 + 5914379025 = 15024^2 + 76905^2 .

It is not a de Polignac number, because 6140099601 - 29 = 6140099089 is a prime.

It is a super-2 number, since 2×61400996012 = 75401646220400718402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6140099611) 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 23 ways as a sum of consecutive naturals, for example, 1658985 + ... + 1662681.

Almost surely, 26140099601 is an apocalyptic number.

It is an amenable number.

6140099601 is a deficient number, since it is larger than the sum of its proper divisors (2818009559).

6140099601 is a wasteful number, since it uses less digits than its factorization.

6140099601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6140099601 is about 78358.7876437608. The cubic root of 6140099601 is about 1831.1551329268.

The spelling of 6140099601 in words is "six billion, one hundred forty million, ninety-nine thousand, six hundred one".

Divisors: 1 3 9 109 327 981 1693 3697 5079 11091 15237 33273 184537 402973 553611 1208919 1660833 3626757 6259021 18777063 56331189 682233289 2046699867 6140099601