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4122342240 = 253517229717
BaseRepresentation
bin1111010110110101…
…1111001101100000
3101122021220200110020
43311231133031200
531420304422430
61521020033440
7204104221332
oct36555371540
911567820406
104122342240
111825a55815
12970692880
13509088783
142b16bd452
15191d8eb10
hexf5b5f360

4122342240 has 144 divisors (see below), whose sum is σ = 13794620112. Its totient is φ = 1034592256.

The previous prime is 4122342229. The next prime is 4122342247. The reversal of 4122342240 is 422432214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4122342240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122342247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 123862 + ... + 153578.

It is an arithmetic number, because the mean of its divisors is an integer number (95795973).

Almost surely, 24122342240 is an apocalyptic number.

4122342240 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 4122342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897310056).

4122342240 is an abundant number, since it is smaller than the sum of its proper divisors (9672277872).

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

4122342240 is a wasteful number, since it uses less digits than its factorization.

4122342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29769 (or 29744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4122342240 is about 64205.4689259412. The cubic root of 4122342240 is about 1603.4226523528.

Adding to 4122342240 its reverse (422432214), we get a palindrome (4544774454).

The spelling of 4122342240 in words is "four billion, one hundred twenty-two million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1734 2040 2312 2720 2890 3468 4080 4335 4624 5780 6936 8160 8670 9248 11560 13872 17340 23120 27744 29717 34680 46240 59434 69360 89151 118868 138720 148585 178302 237736 297170 356604 445755 475472 505189 594340 713208 891510 950944 1010378 1188680 1426416 1515567 1783020 2020756 2377360 2525945 2852832 3031134 3566040 4041512 4754720 5051890 6062268 7132080 7577835 8083024 8588213 10103780 12124536 14264160 15155670 16166048 17176426 20207560 24249072 25764639 30311340 34352852 40415120 42941065 48498144 51529278 60622680 68705704 80830240 85882130 103058556 121245360 128823195 137411408 171764260 206117112 242490720 257646390 274822816 343528520 412234224 515292780 687057040 824468448 1030585560 1374114080 2061171120 4122342240