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241042320024 = 2331119101475789
BaseRepresentation
bin1110000001111100111…
…1011110101010011000
3212001011122122120021020
43200133033132222120
512422123313220044
6302422221242440
723262152625462
oct3403717365230
9761148576236
10241042320024
1193253118750
123a870703420
131996530843c
14b948c95132
15640b6eba19
hex381f3dea98

241042320024 has 128 divisors (see below), whose sum is σ = 698840352000. Its totient is φ = 68513472000.

The previous prime is 241042319939. The next prime is 241042320049. The reversal of 241042320024 is 420023240142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 241042319976 and 241042320003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268722 + ... + 744510.

It is an arithmetic number, because the mean of its divisors is an integer number (5459690250).

Almost surely, 2241042320024 is an apocalyptic number.

241042320024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241042320024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349420176000).

241042320024 is an abundant number, since it is smaller than the sum of its proper divisors (457798031976).

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

241042320024 is a wasteful number, since it uses less digits than its factorization.

241042320024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475929 (or 475925 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 241042320024 its reverse (420023240142), we get a palindrome (661065560166).

The spelling of 241042320024 in words is "two hundred forty-one billion, forty-two million, three hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 101 114 132 152 202 209 228 264 303 404 418 456 606 627 808 836 1111 1212 1254 1672 1919 2222 2424 2508 3333 3838 4444 5016 5757 6666 7676 8888 11514 13332 15352 21109 23028 26664 42218 46056 63327 84436 126654 168872 253308 475789 506616 951578 1427367 1903156 2854734 3806312 5233679 5709468 9039991 10467358 11418936 15701037 18079982 20934716 27119973 31402074 36159964 41869432 48054689 54239946 62804148 72319928 96109378 99439901 108479892 125608296 144164067 192218756 198879802 216959784 288328134 298319703 384437512 397759604 528601579 576656268 596639406 795519208 913039091 1057203158 1153312536 1193278812 1585804737 1826078182 2114406316 2386557624 2739117273 3171609474 3652156364 4228812632 5478234546 6343218948 7304312728 10043430001 10956469092 12686437896 20086860002 21912938184 30130290003 40173720004 60260580006 80347440008 120521160012 241042320024