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4112211440 = 245411253723
BaseRepresentation
bin1111010100011011…
…0101110111110000
3101121120211222121102
43311012311313300
531410211231230
61520014543532
7203622135431
oct36506656760
911546758542
104112211440
111820266357
12969207ba8
13506c4c50c
142b0203488
1519103d045
hexf51b5df0

4112211440 has 40 divisors (see below), whose sum is σ = 9794091888. Its totient is φ = 1604764160.

The previous prime is 4112211431. The next prime is 4112211461. The reversal of 4112211440 is 441122114.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 623582 + ... + 630141.

Almost surely, 24112211440 is an apocalyptic number.

4112211440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112211440 is an abundant number, since it is smaller than the sum of its proper divisors (5681880448).

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

4112211440 is a wasteful number, since it uses less digits than its factorization.

4112211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253777 (or 1253771 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4112211440 is about 64126.5268044356. The cubic root of 4112211440 is about 1602.1080858473.

Adding to 4112211440 its reverse (441122114), we get a palindrome (4553333554).

The spelling of 4112211440 in words is "four billion, one hundred twelve million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 1253723 2507446 5014892 6268615 10029784 12537230 20059568 25074460 50148920 51402643 100297840 102805286 205610572 257013215 411221144 514026430 822442288 1028052860 2056105720 4112211440