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241398290328 = 2331311310876299
BaseRepresentation
bin1110000011010001110…
…1011001011110011000
3212002002110110201201120
43200310131121132120
512423340430242303
6302521415045240
723304034416666
oct3406435313630
9762073421646
10241398290328
1193416050488
123a94b970820
13199c0ca1c60
14b980277c36
15642cab4553
hex3834759798

241398290328 has 128 divisors (see below), whose sum is σ = 656377344000. Its totient is φ = 73539680256.

The previous prime is 241398290317. The next prime is 241398290351. The reversal of 241398290328 is 823092893142.

241398290328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4913232-1.

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 31 ways as a sum of consecutive naturals, for example, 38320123 + ... + 38326421.

It is an arithmetic number, because the mean of its divisors is an integer number (5127948000).

Almost surely, 2241398290328 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 241398290328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328188672000).

241398290328 is an abundant number, since it is smaller than the sum of its proper divisors (414979053672).

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

241398290328 is a wasteful number, since it uses less digits than its factorization.

241398290328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 241398290328 in words is "two hundred forty-one billion, three hundred ninety-eight million, two hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1087 1356 1469 2174 2712 2938 3261 4348 4407 5876 6299 6522 8696 8814 11752 12598 13044 14131 17628 18897 25196 26088 28262 35256 37794 42393 50392 56524 75588 81887 84786 113048 122831 151176 163774 169572 245661 245662 327548 339144 368493 491322 491324 655096 711787 736986 982644 982648 1423574 1473972 1596803 1965288 2135361 2847148 2947944 3193606 4270722 4790409 5694296 6387212 6847013 8541444 9253231 9580818 12774424 13694026 17082888 18506462 19161636 20541039 27388052 27759693 37012924 38323272 41082078 54776104 55519386 74025848 82164156 89011169 111038772 164328312 178022338 222077544 267033507 356044676 534067014 712089352 773712469 1068134028 1547424938 2136268056 2321137407 3094849876 4642274814 6189699752 9284549628 10058262097 18569099256 20116524194 30174786291 40233048388 60349572582 80466096776 120699145164 241398290328