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4324001142340 = 2251171283978179
BaseRepresentation
bin111110111011000010100…
…011010101011001000100
3120022101000002000002101001
4332323002203111121010
51031321023243023330
613110230234543044
7624253531164415
oct76730243253104
916271002002331
104324001142340
111417886a113a0
1259a02b297a84
132549a02335c9
1410d3d5cd780c
15777257d39ca
hex3eec28d5644

4324001142340 has 96 divisors (see below), whose sum is σ = 10080919618560. Its totient is φ = 1544738697600.

The previous prime is 4324001142317. The next prime is 4324001142397. The reversal of 4324001142340 is 432411004234.

4324001142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4324001142299 and 4324001142308.

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, 3931371 + ... + 4909549.

It is an arithmetic number, because the mean of its divisors is an integer number (105009579360).

Almost surely, 24324001142340 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 4324001142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040459809280).

4324001142340 is an abundant number, since it is smaller than the sum of its proper divisors (5756918476220).

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

4324001142340 is a wasteful number, since it uses less digits than its factorization.

4324001142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978553 (or 978551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4324001142340 its reverse (432411004234), we get a palindrome (4756412146574).

The spelling of 4324001142340 in words is "four trillion, three hundred twenty-four billion, one million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 283 284 355 566 710 781 1132 1415 1420 1562 2830 3113 3124 3905 5660 6226 7810 12452 15565 15620 20093 31130 40186 62260 80372 100465 200930 221023 401860 442046 884092 978179 1105115 1956358 2210230 3912716 4420460 4890895 9781790 10759969 19563580 21519938 43039876 53799845 69450709 107599690 138901418 215199380 276824657 277802836 347253545 553649314 694507090 763957799 1107298628 1384123285 1389014180 1527915598 2768246570 3045071227 3055831196 3819788995 5536493140 6090142454 7639577990 12180284908 15225356135 15279155980 19654550647 30450712270 39309101294 60901424540 78618202588 98272753235 196545506470 216200057117 393091012940 432400114234 864800228468 1081000285585 2162000571170 4324001142340