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4115401225 = 5213171375437
BaseRepresentation
bin1111010101001100…
…0000101000001001
3101121210212001011121
43311103000220021
531412020314400
61520211155241
7203661222205
oct36523005011
911553761147
104115401225
111822044941
1296a2a5b21
135077c8370
142b07d3b05
1519146d21a
hexf54c0a09

4115401225 has 48 divisors (see below), whose sum is σ = 5862468528. Its totient is φ = 2838896640.

The previous prime is 4115401219. The next prime is 4115401253. The reversal of 4115401225 is 5221045114.

It can be written as a sum of positive squares in 24 ways, for example, as 2519638416 + 1595762809 = 50196^2 + 39947^2 .

It is not a de Polignac number, because 4115401225 - 27 = 4115401097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4115401225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754207 + ... + 759643.

It is an arithmetic number, because the mean of its divisors is an integer number (122134761).

Almost surely, 24115401225 is an apocalyptic number.

It is an amenable number.

4115401225 is a deficient number, since it is larger than the sum of its proper divisors (1747067303).

4115401225 is a wasteful number, since it uses less digits than its factorization.

4115401225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 4115401225 is about 64151.3930090376. The cubic root of 4115401225 is about 1602.5222230768.

Adding to 4115401225 its reverse (5221045114), we get a palindrome (9336446339).

The spelling of 4115401225 in words is "four billion, one hundred fifteen million, four hundred one thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 137 221 325 425 685 1105 1781 2329 3425 5437 5525 8905 11645 27185 30277 44525 58225 70681 92429 135925 151385 353405 462145 744869 756925 1201577 1767025 2310725 3724345 6007885 9683297 12662773 18621725 30039425 48416485 63313865 164616049 242082425 316569325 823080245 4115401225