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4142201224 = 237113743881
BaseRepresentation
bin1111011011100100…
…1111100110001000
3101200200021121212011
43312321033212020
531440400414344
61523005425304
7204435062260
oct36671174610
911620247764
104142201224
11183618a0a7
1297726b234
1351021c955
142b41ac7a0
151939b3d34
hexf6e4f988

4142201224 has 64 divisors (see below), whose sum is σ = 8976925440. Its totient is φ = 1755156480.

The previous prime is 4142201221. The next prime is 4142201269. The reversal of 4142201224 is 4221022414.

It is a junction number, because it is equal to n+sod(n) for n = 4142201195 and 4142201204.

It is not an unprimeable number, because it can be changed into a prime (4142201221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4701264 + ... + 4702144.

It is an arithmetic number, because the mean of its divisors is an integer number (140264460).

Almost surely, 24142201224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142201224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488462720).

4142201224 is an abundant number, since it is smaller than the sum of its proper divisors (4834724216).

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

4142201224 is a wasteful number, since it uses less digits than its factorization.

4142201224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4142201224 is about 64359.9349284941. The cubic root of 4142201224 is about 1605.9933065171.

Adding to 4142201224 its reverse (4221022414), we get a palindrome (8363223638).

The spelling of 4142201224 in words is "four billion, one hundred forty-two million, two hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 743 791 881 904 1486 1582 1762 2972 3164 3524 5201 5944 6167 6328 7048 10402 12334 20804 24668 41608 49336 83959 99553 167918 199106 335836 398212 587713 654583 671672 696871 796424 1175426 1309166 1393742 2350852 2618332 2787484 4582081 4701704 5236664 5574968 9164162 18328324 36656648 73967879 147935758 295871516 517775153 591743032 1035550306 2071100612 4142201224