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4241444100 = 2235219744113
BaseRepresentation
bin1111110011001111…
…0100110100000100
3101221121000200111020
43330303310310010
532141302202400
61540512511140
7210051452145
oct37463646404
911847020436
104241444100
111887203803
129a454b4b0
1352795994a
142c3443acc
1519c5692a0
hexfccf4d04

4241444100 has 72 divisors (see below), whose sum is σ = 12917819040. Its totient is φ = 1071521280.

The previous prime is 4241444063. The next prime is 4241444117. The reversal of 4241444100 is 14441424.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 366357 + ... + 377756.

Almost surely, 24241444100 is an apocalyptic number.

It is an amenable number.

4241444100 is an abundant number, since it is smaller than the sum of its proper divisors (8676374940).

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

4241444100 is a wasteful number, since it uses less digits than its factorization.

4241444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744149 (or 744142 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4241444100 is about 65126.3702351052. The cubic root of 4241444100 is about 1618.7181980703.

Adding to 4241444100 its reverse (14441424), we get a palindrome (4255885524).

The spelling of 4241444100 in words is "four billion, two hundred forty-one million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 744113 1488226 2232339 2976452 3720565 4464678 7441130 8929356 11161695 14138147 14882260 18602825 22323390 28276294 37205650 42414441 44646780 55808475 56552588 70690735 74411300 84828882 111616950 141381470 169657764 212072205 223233900 282762940 353453675 424144410 706907350 848288820 1060361025 1413814700 2120722050 4241444100