Search a number
-
+
241121142024 = 233741241145253
BaseRepresentation
bin1110000010001111110…
…0001010010100001000
3212001101010222010201120
43200203330022110020
512422304003021044
6302434114515240
723264130614310
oct3404374122410
9761333863646
10241121142024
11932936648a4
123a892b95b20
1319978745589
14b955532440
1564135bb519
hex3823f0a508

241121142024 has 128 divisors (see below), whose sum is σ = 708653594880. Its totient is φ = 66932121600.

The previous prime is 241121141981. The next prime is 241121142029. The reversal of 241121142024 is 420241121142.

It is a happy number.

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 = 241121141985 and 241121142003.

It is not an unprimeable number, because it can be changed into a prime (241121142029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587382 + ... + 1732634.

It is an arithmetic number, because the mean of its divisors is an integer number (5536356210).

Almost surely, 2241121142024 is an apocalyptic number.

241121142024 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 241121142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354326797440).

241121142024 is an abundant number, since it is smaller than the sum of its proper divisors (467532452856).

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

241121142024 is a wasteful number, since it uses less digits than its factorization.

241121142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145551 (or 145547 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 241121142024 its reverse (420241121142), we get a palindrome (661362263166).

The spelling of 241121142024 in words is "two hundred forty-one billion, one hundred twenty-one million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 241 246 287 328 482 492 574 723 861 964 984 1148 1446 1687 1722 1928 2296 2892 3374 3444 5061 5784 6748 6888 9881 10122 13496 19762 20244 29643 39524 40488 59286 69167 79048 118572 138334 145253 207501 237144 276668 290506 415002 435759 553336 581012 830004 871518 1016771 1162024 1660008 1743036 2033542 3050313 3486072 4067084 5955373 6100626 8134168 11910746 12201252 17866119 23821492 24402504 35005973 35732238 41687611 47642984 70011946 71464476 83375222 105017919 125062833 140023892 142928952 166750444 210035838 245041811 250125666 280047784 333500888 420071676 490083622 500251332 735125433 840143352 980167244 1000502664 1435244893 1470250866 1960334488 2870489786 2940501732 4305734679 5740979572 5881003464 8611469358 10046714251 11481959144 17222938716 20093428502 30140142753 34445877432 40186857004 60280285506 80373714008 120560571012 241121142024