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4122045440 = 21051942373
BaseRepresentation
bin1111010110110001…
…0110110000000000
3101122021100121022122
43311230112300000
531420220423230
61521005423412
7204101544122
oct36554266000
911567317278
104122045440
111825872827
1297056ab68
13508cb3656
142b1643212
15191d31be5
hexf5b16c00

4122045440 has 88 divisors (see below), whose sum is σ = 10408749360. Its totient is φ = 1562001408.

The previous prime is 4122045397. The next prime is 4122045457. The reversal of 4122045440 is 445402214.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76094 + ... + 118466.

Almost surely, 24122045440 is an apocalyptic number.

4122045440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204374680).

4122045440 is an abundant number, since it is smaller than the sum of its proper divisors (6286703920).

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

4122045440 is a wasteful number, since it uses less digits than its factorization.

4122045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42417 (or 42399 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 4122045440 is about 64203.1575547496. The cubic root of 4122045440 is about 1603.3841704059.

Adding to 4122045440 its reverse (445402214), we get a palindrome (4567447654).

The spelling of 4122045440 in words is "four billion, one hundred twenty-two million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1216 1280 1520 2432 2560 3040 4864 5120 6080 9728 12160 19456 24320 42373 48640 84746 97280 169492 211865 338984 423730 677968 805087 847460 1355936 1610174 1694920 2711872 3220348 3389840 4025435 5423744 6440696 6779680 8050870 10847488 12881392 13559360 16101740 21694976 25762784 27118720 32203480 43389952 51525568 54237440 64406960 103051136 108474880 128813920 206102272 216949760 257627840 412204544 515255680 824409088 1030511360 2061022720 4122045440