Search a number
-
+
212441021424 = 243217647134129
BaseRepresentation
bin1100010111011001111…
…0001011101111110000
3202022100101021001111200
43011312132023233300
511440034400141144
6241332152211200
721230325613332
oct3056636135760
9668311231450
10212441021424
1182106466795
123520a099b00
1317057958a08
14a3d4501452
1557d57acc69
hex317678bbf0

212441021424 has 120 divisors (see below), whose sum is σ = 630490404960. Its totient is φ = 66544656384.

The previous prime is 212441021417. The next prime is 212441021447. The reversal of 212441021424 is 424120144212.

212441021424 is a `hidden beast` number, since 2 + 1 + 2 + 441 + 0 + 214 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516792 + ... + 1650920.

It is an arithmetic number, because the mean of its divisors is an integer number (5254086708).

Almost surely, 2212441021424 is an apocalyptic number.

212441021424 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 212441021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315245202480).

212441021424 is an abundant number, since it is smaller than the sum of its proper divisors (418049383536).

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

212441021424 is a wasteful number, since it uses less digits than its factorization.

212441021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134807 (or 134798 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 212441021424 its reverse (424120144212), we get a palindrome (636561165636).

The spelling of 212441021424 in words is "two hundred twelve billion, four hundred forty-one million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 647 816 1224 1294 1941 2448 2588 3882 5176 5823 7764 10352 10999 11646 15528 21998 23292 31056 32997 43996 46584 65994 87992 93168 98991 131988 134129 175984 197982 263976 268258 395964 402387 527952 536516 791928 804774 1073032 1207161 1583856 1609548 2146064 2280193 2414322 3219096 4560386 4828644 6438192 6840579 9120772 9657288 13681158 18241544 19314576 20521737 27362316 36483088 41043474 54724632 82086948 86781463 109449264 164173896 173562926 260344389 328347792 347125852 520688778 694251704 781033167 1041377556 1388503408 1475284871 1562066334 2082755112 2950569742 3124132668 4165510224 4425854613 5901139484 6248265336 8851709226 11802278968 12496530672 13277563839 17703418452 23604557936 26555127678 35406836904 53110255356 70813673808 106220510712 212441021424