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4415414112 = 25335110433
BaseRepresentation
bin1000001110010110…
…11101111101100000
3102101201101021111000
410013023131331200
533020321222422
62010045352000
7214263254304
oct40713357540
912351337430
104415414112
111966427a7a
12a32868600
135549cbc95
142dc5abd04
151ac980cac
hex1072ddf60

4415414112 has 48 divisors (see below), whose sum is σ = 12878293680. Its totient is φ = 1471804416.

The previous prime is 4415414089. The next prime is 4415414119. The reversal of 4415414112 is 2114145144.

It is a happy number.

4415414112 is a `hidden beast` number, since 4 + 4 + 1 + 541 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415414119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2554353 + ... + 2556080.

It is an arithmetic number, because the mean of its divisors is an integer number (268297785).

It is a self-describing number.

Almost surely, 24415414112 is an apocalyptic number.

It is an amenable number.

4415414112 is an abundant number, since it is smaller than the sum of its proper divisors (8462879568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4415414112 is a wasteful number, since it uses less digits than its factorization.

4415414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110452 (or 5110438 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 4415414112 is about 66448.5824679504. The cubic root of 4415414112 is about 1640.5538125651.

Adding to 4415414112 its reverse (2114145144), we get a palindrome (6529559256).

The spelling of 4415414112 in words is "four billion, four hundred fifteen million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5110433 10220866 15331299 20441732 30662598 40883464 45993897 61325196 81766928 91987794 122650392 137981691 163533856 183975588 245300784 275963382 367951176 490601568 551926764 735902352 1103853528 1471804704 2207707056 4415414112