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4112323111424 = 291119226916937
BaseRepresentation
bin111011110101111001100…
…011101110101000000000
3112120010121212102222002002
4323311321203232220000
51014334014204031144
612425101500043132
7603051125463143
oct73657143565000
915503555388062
104112323111424
111346032208780
12564bb48334a8
1323aa376a0188
14103074c8a05a
1571e86edc14e
hex3bd798eea00

4112323111424 has 160 divisors (see below), whose sum is σ = 9440062315200. Its totient is φ = 1769971875840.

The previous prime is 4112323111417. The next prime is 4112323111427. The reversal of 4112323111424 is 4241113232114.

It is a super-2 number, since 2×41123231114242 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4112323111427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242792684 + ... + 242809620.

It is an arithmetic number, because the mean of its divisors is an integer number (59000389470).

Almost surely, 24112323111424 is an apocalyptic number.

4112323111424 is a gapful number since it is divisible by the number (44) 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 4112323111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720031157600).

4112323111424 is an abundant number, since it is smaller than the sum of its proper divisors (5327739203776).

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

4112323111424 is a wasteful number, since it uses less digits than its factorization.

4112323111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19254 (or 19238 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

Adding to 4112323111424 its reverse (4241113232114), we get a palindrome (8353436343538).

The spelling of 4112323111424 in words is "four trillion, one hundred twelve billion, three hundred twenty-three million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1216 1408 1672 2269 2432 2816 3344 4538 4864 5632 6688 9076 9728 13376 16937 18152 24959 26752 33874 36304 43111 49918 53504 67748 72608 86222 99836 107008 135496 145216 172444 186307 199672 270992 290432 321803 344888 372614 399344 474221 541984 580864 643606 689776 745228 798688 948442 1083968 1161728 1287212 1379552 1490456 1597376 1896884 2167936 2574424 2759104 2980912 3194752 3539833 3793768 4335872 5148848 5518208 5961824 6389504 7079666 7587536 8671744 10297696 11036416 11923648 12779008 14159332 15175072 20595392 22072832 23847296 28318664 30350144 38430053 41190784 47694592 56637328 60700288 76860106 82381568 95389184 113274656 121400576 153720212 164763136 226549312 242801152 307440424 422730583 453098624 614880848 730171007 845461166 906197248 1229761696 1460342014 1690922332 1812394496 2459523392 2920684028 3381844664 4919046784 5841368056 6763689328 8031881077 9838093568 11682736112 13527378656 16063762154 19676187136 23365472224 27054757312 32127524308 46730944448 54109514624 64255048616 93461888896 108219029248 128510097232 186923777792 216438058496 257020194464 373847555584 514040388928 1028080777856 2056161555712 4112323111424