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241023422024 = 2371115711932089
BaseRepresentation
bin1110000001111000011…
…1011000111001001000
3212001010100002110002022
43200132013120321020
512422103444001044
6302420304224012
723261533166330
oct3403607307110
9761110073068
10241023422024
1193243490370
123a86630b008
131996141c7a8
14b9465760c0
156409c173ee
hex381e1d8e48

241023422024 has 128 divisors (see below), whose sum is σ = 567767059200. Its totient is φ = 93184266240.

The previous prime is 241023422011. The next prime is 241023422117. The reversal of 241023422024 is 420224320142.

It is a junction number, because it is equal to n+sod(n) for n = 241023421984 and 241023422002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115376372 + ... + 115378460.

It is an arithmetic number, because the mean of its divisors is an integer number (4435680150).

Almost surely, 2241023422024 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 241023422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283883529600).

241023422024 is an abundant number, since it is smaller than the sum of its proper divisors (326743637176).

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

241023422024 is a wasteful number, since it uses less digits than its factorization.

241023422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 241023422024 its reverse (420224320142), we get a palindrome (661247742166).

The spelling of 241023422024 in words is "two hundred forty-one billion, twenty-three million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 157 308 314 616 628 1099 1193 1256 1727 2089 2198 2386 3454 4178 4396 4772 6908 8351 8356 8792 9544 12089 13123 13816 14623 16702 16712 22979 24178 26246 29246 33404 45958 48356 52492 58492 66808 91861 91916 96712 104984 116984 160853 183722 183832 187301 321706 327973 367444 374602 643412 655946 734888 749204 1286824 1311107 1311892 1498408 2060311 2295811 2492177 2622214 2623784 3607703 4120622 4591622 4984354 5244428 7215406 8241244 9183244 9968708 10488856 14422177 14430812 16482488 17445239 18366488 19937416 25253921 27413947 28844354 28861624 34890478 50507842 54827894 57688708 69780956 101015684 109655788 115377416 139561912 191897629 202031368 219311576 383795258 391271789 767590516 782543578 1535181032 1565087156 2738902523 3130174312 4303989679 5477805046 8607979358 10955610092 17215958716 21911220184 30127927753 34431917432 60255855506 120511711012 241023422024