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4240415361 = 37313535981
BaseRepresentation
bin1111110010111111…
…1001101010000001
3101221112002102022210
43330233321222001
532141021242421
61540434452333
7210036636000
oct37457715201
911845072283
104240415361
111886670906
129a41340a9
13527689620
142c3256c37
1519c414576
hexfcbf9a81

4240415361 has 64 divisors (see below), whose sum is σ = 7235827200. Its totient is φ = 2194133760.

The previous prime is 4240415339. The next prime is 4240415363. The reversal of 4240415361 is 1635140424.

It is not a de Polignac number, because 4240415361 - 210 = 4240414337 is a prime.

It is a super-2 number, since 2×42404153612 = 35962244867609520642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4240415363) 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, 705991 + ... + 711971.

It is an arithmetic number, because the mean of its divisors is an integer number (113059800).

Almost surely, 24240415361 is an apocalyptic number.

It is an amenable number.

4240415361 is a deficient number, since it is larger than the sum of its proper divisors (2995411839).

4240415361 is a wasteful number, since it uses less digits than its factorization.

4240415361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4240415361 is about 65118.4717342169. The cubic root of 4240415361 is about 1618.5873170818.

Adding to 4240415361 its reverse (1635140424), we get a palindrome (5875555785).

The spelling of 4240415361 in words is "four billion, two hundred forty million, four hundred fifteen thousand, three hundred sixty-one".

Divisors: 1 3 7 13 21 39 49 53 91 147 159 273 343 371 637 689 1029 1113 1911 2067 2597 4459 4823 5981 7791 13377 14469 17943 18179 33761 41867 54537 77753 101283 125601 233259 236327 293069 316993 544271 708981 879207 950979 1632813 2051483 2218951 3809897 4120909 6154449 6656853 11429691 12362727 15532657 26669279 28846363 46597971 80007837 86539089 108728599 201924541 326185797 605773623 1413471787 4240415361