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4024324124442 = 234151641256651
BaseRepresentation
bin111010100011111100011…
…010001110111100011010
3112020201111001211020210000
4322203330122032330122
51011413303433440232
612320425440233430
7563514334440606
oct72437432167432
915221431736700
104024324124442
111311785066356
1254bb3600b876
132326522bb38b
14dcac7a2c506
156ea3667327c
hex3a8fc68ef1a

4024324124442 has 80 divisors (see below), whose sum is σ = 9091381742784. Its totient is φ = 1330473600000.

The previous prime is 4024324124413. The next prime is 4024324124453. The reversal of 4024324124442 is 2444214234204.

4024324124442 is a `hidden beast` number, since 40 + 24 + 32 + 4 + 124 + 442 = 666.

It is a super-2 number, since 2×40243241244422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024324124397 and 4024324124406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15551817 + ... + 15808467.

Almost surely, 24024324124442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024324124442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545690871392).

4024324124442 is an abundant number, since it is smaller than the sum of its proper divisors (5067057618342).

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

4024324124442 is a wasteful number, since it uses less digits than its factorization.

4024324124442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257457 (or 257448 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4024324124442 its reverse (2444214234204), we get a palindrome (6468538358646).

The spelling of 4024324124442 in words is "four trillion, twenty-four billion, three hundred twenty-four million, one hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 151 162 302 453 641 906 1282 1359 1923 2718 3846 4077 5769 8154 11538 12231 17307 24462 34614 51921 96791 103842 193582 256651 290373 513302 580746 769953 871119 1539906 1742238 2309859 2613357 4619718 5226714 6929577 7840071 13859154 15680142 20788731 38754301 41577462 77508602 116262903 164513291 232525806 329026582 348788709 493539873 697577418 987079746 1046366127 1480619619 2092732254 2961239238 3139098381 4441858857 6278196762 8883717714 13325576571 24841506941 26651153142 49683013882 74524520823 149049041646 223573562469 447147124938 670720687407 1341441374814 2012162062221 4024324124442