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4415144031 = 373165123
BaseRepresentation
bin1000001110010100…
…11100000001011111
3102101200212120000000
410013022130001133
533020234102111
62010035505343
7214261051014
oct40712340137
912350776000
104415144031
111966263071
12a32758253
1355493607c
142dc53b70b
151ac92ac56
hex10729c05f

4415144031 has 32 divisors (see below), whose sum is σ = 6835415040. Its totient is φ = 2848436280.

The previous prime is 4415143987. The next prime is 4415144039. The reversal of 4415144031 is 1304415144.

4415144031 is a `hidden beast` number, since 44 + 151 + 440 + 31 = 666.

It is not a de Polignac number, because 4415144031 - 27 = 4415143903 is a prime.

It is a super-2 number, since 2×44151440312 = 38986993628949857922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4415143986 and 4415144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415144039) 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, 35236 + ... + 100358.

It is an arithmetic number, because the mean of its divisors is an integer number (213606720).

Almost surely, 24415144031 is an apocalyptic number.

4415144031 is a deficient number, since it is larger than the sum of its proper divisors (2420271009).

4415144031 is an frugal number, since it uses more digits than its factorization.

4415144031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65175 (or 65157 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4415144031 is about 66446.5501813300. The cubic root of 4415144031 is about 1640.5203622146.

Adding to 4415144031 its reverse (1304415144), we get a palindrome (5719559175).

The spelling of 4415144031 in words is "four billion, four hundred fifteen million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 27 31 81 93 243 279 729 837 2187 2511 7533 22599 65123 67797 195369 586107 1758321 2018813 5274963 6056439 15824889 18169317 47474667 54507951 142424001 163523853 490571559 1471714677 4415144031