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4202441424 = 2432211138311
BaseRepresentation
bin1111101001111100…
…0010101011010000
3101211212122010212200
43322133002223100
532101311111144
61533000523200
7206066106546
oct37237025320
911755563780
104202441424
111867194495
12993480500
1351c85203c
142bc1add96
15198e12c69
hexfa7c2ad0

4202441424 has 60 divisors (see below), whose sum is σ = 11816824032. Its totient is φ = 1394164800.

The previous prime is 4202441423. The next prime is 4202441459. The reversal of 4202441424 is 4241442024.

It is a super-2 number, since 2×42024414242 = 35321027844302295552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202441423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38772 + ... + 99539.

Almost surely, 24202441424 is an apocalyptic number.

It is an amenable number.

4202441424 is an abundant number, since it is smaller than the sum of its proper divisors (7614382608).

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

4202441424 is a wasteful number, since it uses less digits than its factorization.

4202441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138536 (or 138527 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4202441424 is about 64826.2402426672. The cubic root of 4202441424 is about 1613.7412095497.

Adding to 4202441424 its reverse (4241442024), we get a palindrome (8443883448).

The spelling of 4202441424 in words is "four billion, two hundred two million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 138311 276622 414933 553244 829866 1106488 1244799 1659732 2212976 2489598 3319464 4979196 6638928 9958392 19916784 29183621 58367242 87550863 116734484 175101726 233468968 262652589 350203452 466937936 525305178 700406904 1050610356 1400813808 2101220712 4202441424