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6142121601 = 3711112323677
BaseRepresentation
bin1011011100001100…
…10101011010000001
3120212001111002212020
411232012111122001
5100034340342401
62453250552053
7305131113030
oct55606253201
916761432766
106142121601
112672081960
121234b98629
1376b6699a5
14423a46717
1525e35cd36
hex16e195681

6142121601 has 32 divisors (see below), whose sum is σ = 10219803648. Its totient is φ = 3187736640.

The previous prime is 6142121599. The next prime is 6142121603. The reversal of 6142121601 is 1061212416.

It is a happy number.

6142121601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6142121599) and next prime (6142121603).

It is not a de Polignac number, because 6142121601 - 21 = 6142121599 is a prime.

It is a super-2 number, since 2×61421216012 = 75451315522941606402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6142121603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247575 + ... + 271251.

It is an arithmetic number, because the mean of its divisors is an integer number (319368864).

Almost surely, 26142121601 is an apocalyptic number.

It is an amenable number.

6142121601 is a deficient number, since it is larger than the sum of its proper divisors (4077682047).

6142121601 is a wasteful number, since it uses less digits than its factorization.

6142121601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24821.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6142121601 is about 78371.6887721580. The cubic root of 6142121601 is about 1831.3561171431.

The spelling of 6142121601 in words is "six billion, one hundred forty-two million, one hundred twenty-one thousand, six hundred one".

Divisors: 1 3 7 11 21 33 77 231 1123 3369 7861 12353 23583 23677 37059 71031 86471 165739 259413 260447 497217 781341 1823129 5469387 26589271 79767813 186124897 292481981 558374691 877445943 2047373867 6142121601