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241982223616 = 2871764712277
BaseRepresentation
bin1110000101011101000…
…0111011010100000000
3212010121011020121121101
43201113100323110000
512431034422123431
6303055354504144
723324354651260
oct3412720732400
9763534217541
10241982223616
1193695725181
123aa93435054
1319a84c63803
14b9d7a3b7a0
156463eab961
hex385743b500

241982223616 has 144 divisors (see below), whose sum is σ = 585444900096. Its totient is φ = 97447477248.

The previous prime is 241982223607. The next prime is 241982223619. The reversal of 241982223616 is 616322289142.

It is a super-2 number, since 2×2419822236162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241982223619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19704070 + ... + 19716346.

It is an arithmetic number, because the mean of its divisors is an integer number (4065589584).

Almost surely, 2241982223616 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 241982223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292722450048).

241982223616 is an abundant number, since it is smaller than the sum of its proper divisors (343462676480).

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

241982223616 is a wasteful number, since it uses less digits than its factorization.

241982223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12964 (or 12950 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 241982223616 in words is "two hundred forty-one billion, nine hundred eighty-two million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 647 896 952 1088 1294 1792 1904 2176 2588 3808 4352 4529 5176 7616 9058 10352 10999 12277 15232 18116 20704 21998 24554 30464 36232 41408 43996 49108 72464 76993 82816 85939 87992 98216 144928 153986 165632 171878 175984 196432 208709 289856 307972 343756 351968 392864 417418 579712 615944 687512 703936 785728 834836 1159424 1231888 1375024 1407872 1460963 1571456 1669672 2463776 2750048 2815744 2921926 3142912 3339344 4927552 5500096 5843852 6678688 7943219 9855104 11000192 11687704 13357376 15886438 19710208 22000384 23375408 26714752 31772876 46750816 53429504 55602533 63545752 93501632 111205066 127091504 135034723 187003264 222410132 254183008 270069446 374006528 444820264 508366016 540138892 889640528 945243061 1016732032 1080277784 1779281056 1890486122 2033464064 2160555568 3558562112 3780972244 4321111136 7117124224 7561944488 8642222272 14234248448 15123888976 17284444544 30247777952 34568889088 60495555904 120991111808 241982223616