Search a number
-
+
21442245344300 = 22521143345018361
BaseRepresentation
bin1001110000000011010010…
…11010101011110000101100
32210220212011221112010222002
410320001221122223300230
510302302204302004200
6113334233113111432
74342102554126014
oct470015132536054
983825157463862
1021442245344300
116917672553810
1224a37986b8578
13bc6cc21b9a51
14541b4b316c44
15272b66ba4bd5
hex1380696abc2c

21442245344300 has 72 divisors (see below), whose sum is σ = 50876871557232. Its totient is φ = 7779172608000.

The previous prime is 21442245344291. The next prime is 21442245344323. The reversal of 21442245344300 is 344354224412.

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, 22032881 + ... + 22985480.

Almost surely, 221442245344300 is an apocalyptic number.

21442245344300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442245344300 is an abundant number, since it is smaller than the sum of its proper divisors (29434626212932).

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

21442245344300 is a wasteful number, since it uses less digits than its factorization.

21442245344300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45018819 (or 45018812 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 21442245344300 its reverse (344354224412), we get a palindrome (21786599568712).

The spelling of 21442245344300 in words is "twenty-one trillion, four hundred forty-two billion, two hundred forty-five million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 433 550 866 1100 1732 2165 4330 4763 8660 9526 10825 19052 21650 23815 43300 47630 95260 119075 238150 476300 45018361 90036722 180073444 225091805 450183610 495201971 900367220 990403942 1125459025 1980807884 2250918050 2476009855 4501836100 4952019710 9904039420 12380049275 19492950313 24760098550 38985900626 49520197100 77971801252 97464751565 194929503130 214422453443 389859006260 428844906886 487323757825 857689813772 974647515650 1072112267215 1949295031300 2144224534430 4288449068860 5360561336075 10721122672150 21442245344300