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4241434110032 = 247712011265231
BaseRepresentation
bin111101101110001001001…
…011000110100001010000
3120000110212211120021001102
4331232021023012201100
51023442424113010112
613004253220523532
7615301456040540
oct75561113064120
916013784507042
104241434110032
111395866a87a09
125860278505a8
13249c7232c582
1410940225d320
15754e1c97bc2
hex3db892c6850

4241434110032 has 80 divisors (see below), whose sum is σ = 9528796975104. Its totient is φ = 1791257328000.

The previous prime is 4241434109953. The next prime is 4241434110041. The reversal of 4241434110032 is 2300114341424.

It is a junction number, because it is equal to n+sod(n) for n = 4241434109977 and 4241434110004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15858857 + ... + 16124087.

Almost surely, 24241434110032 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 4241434110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764398487552).

4241434110032 is an abundant number, since it is smaller than the sum of its proper divisors (5287362865072).

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

4241434110032 is a wasteful number, since it uses less digits than its factorization.

4241434110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267328 (or 267322 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4241434110032 its reverse (2300114341424), we get a palindrome (6541548451456).

The spelling of 4241434110032 in words is "four trillion, two hundred forty-one billion, four hundred thirty-four million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 2011 3976 4022 7952 8044 14077 16088 28154 32176 56308 112616 142781 225232 265231 285562 530462 571124 999467 1060924 1142248 1856617 1998934 2121848 2284496 3713234 3997868 4243696 7426468 7995736 14852936 15991472 18831401 29705872 37662802 75325604 131819807 150651208 263639614 301302416 527279228 533379541 1054558456 1066759082 2109116912 2133518164 3733656787 4267036328 7467313574 8534072656 14934627148 29869254296 37869947411 59738508592 75739894822 151479789644 265089631877 302959579288 530179263754 605919158576 1060358527508 2120717055016 4241434110032