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4241322144 = 253259249607
BaseRepresentation
bin1111110011001101…
…0111000010100000
3101221120210111012100
43330303113002200
532141234302034
61540510130400
7210050433453
oct37463270240
911846714170
104241322144
111887130114
129a44b0a00
13527916297
142c341149a
1519c543099
hexfccd70a0

4241322144 has 72 divisors (see below), whose sum is σ = 12265737120. Its totient is φ = 1389806208.

The previous prime is 4241322109. The next prime is 4241322167. The reversal of 4241322144 is 4412231424.

4241322144 is a `hidden beast` number, since 424 + 13 + 221 + 4 + 4 = 666.

4241322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107812 + ... + 141795.

It is an arithmetic number, because the mean of its divisors is an integer number (170357460).

Almost surely, 24241322144 is an apocalyptic number.

It is an amenable number.

4241322144 is an abundant number, since it is smaller than the sum of its proper divisors (8024414976).

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

4241322144 is a wasteful number, since it uses less digits than its factorization.

4241322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249682 (or 249671 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4241322144 is about 65125.4339256177. The cubic root of 4241322144 is about 1618.7026833632.

Adding to 4241322144 its reverse (4412231424), we get a palindrome (8653553568).

The spelling of 4241322144 in words is "four billion, two hundred forty-one million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 249607 499214 748821 998428 1497642 1996856 2246463 2995284 3993712 4492926 5990568 7987424 8985852 11981136 14726813 17971704 23962272 29453626 35943408 44180439 58907252 71886816 88360878 117814504 132541317 176721756 235629008 265082634 353443512 471258016 530165268 706887024 1060330536 1413774048 2120661072 4241322144