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244302410096 = 24191635219463
BaseRepresentation
bin1110001110000110001…
…1101111000101110000
3212100120212002022002222
43203201203233011300
513000312404110341
6304121520300212
723436020136323
oct3434143570560
9770525068088
10244302410096
1194676383668
123b420471668
131a064855c14
14bb77c427ba
15654ca1944b
hex38e18ef170

244302410096 has 80 divisors (see below), whose sum is σ = 502320349440. Its totient is φ = 114779358720.

The previous prime is 244302410089. The next prime is 244302410101. The reversal of 244302410096 is 690014203442.

244302410096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 25811861 + ... + 25821323.

It is an arithmetic number, because the mean of its divisors is an integer number (6279004368).

Almost surely, 2244302410096 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 244302410096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251160174720).

244302410096 is an abundant number, since it is smaller than the sum of its proper divisors (258017939344).

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

244302410096 is a wasteful number, since it uses less digits than its factorization.

244302410096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10174 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 244302410096 in words is "two hundred forty-four billion, three hundred two million, four hundred ten thousand, ninety-six".

Divisors: 1 2 4 8 16 19 38 76 152 163 304 326 521 652 1042 1304 2084 2608 3097 4168 6194 8336 9463 9899 12388 18926 19798 24776 37852 39596 49552 75704 79192 84923 151408 158384 169846 179797 339692 359594 679384 719188 1358768 1438376 1542469 1613537 2876752 3084938 3227074 4930223 6169876 6454148 9860446 12339752 12908296 19720892 24679504 25816592 29306911 39441784 58613822 78883568 93674237 117227644 187348474 234455288 374696948 468910576 749393896 803626349 1498787792 1607252698 3214505396 6429010792 12858021584 15268900631 30537801262 61075602524 122151205048 244302410096