Search a number
-
+
21030044240000 = 2754473355541
BaseRepresentation
bin1001100100000011100000…
…10100010000100010000000
32202110110012221102110101102
410302001300110100202000
510224024012311140000
6112421022520553532
74300241046424235
oct462016024204200
982413187373342
1021030044240000
1167788787a3144
12243791b3228a8
13b97180b64083
14529c0694778c
1526708e0643d5
hex132070510880

21030044240000 has 160 divisors (see below), whose sum is σ = 52364984825340. Its totient is φ = 8410088960000.

The previous prime is 21030044239999. The next prime is 21030044240039. The reversal of 21030044240000 is 4244003012.

It can be written as a sum of positive squares in 10 ways, for example, as 9443427336256 + 11586616903744 = 3073016^2 + 3403912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 378612230 + ... + 378667770.

Almost surely, 221030044240000 is an apocalyptic number.

21030044240000 is a gapful number since it is divisible by the number (20) 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 21030044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182492412670).

21030044240000 is an abundant number, since it is smaller than the sum of its proper divisors (31334940585340).

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

21030044240000 is an frugal number, since it uses more digits than its factorization.

21030044240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60308 (or 60281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21030044240000 its reverse (4244003012), we get a palindrome (21034288243012).

The spelling of 21030044240000 in words is "twenty-one trillion, thirty billion, forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 4733 5000 8000 9466 10000 16000 18932 20000 23665 37864 40000 47330 55541 75728 80000 94660 111082 118325 151456 189320 222164 236650 277705 302912 378640 444328 473300 555410 591625 605824 757280 888656 946600 1110820 1183250 1388525 1514560 1777312 1893200 2221640 2366500 2777050 2958125 3029120 3554624 3786400 4443280 4733000 5554100 5916250 6942625 7109248 7572800 8886560 9466000 11108200 11832500 13885250 15145600 17773120 18932000 22216400 23665000 27770500 34713125 35546240 37864000 44432800 47330000 55541000 69426250 75728000 88865600 94660000 111082000 138852500 177731200 189320000 222164000 262875553 277705000 378640000 444328000 525751106 555410000 888656000 1051502212 1110820000 1314377765 2103004424 2221640000 2628755530 4206008848 4443280000 5257511060 6571888825 8412017696 10515022120 13143777650 16824035392 21030044240 26287555300 32859444125 33648070784 42060088480 52575110600 65718888250 84120176960 105150221200 131437776500 164297220625 168240353920 210300442400 262875553000 328594441250 420600884800 525751106000 657188882500 841201769600 1051502212000 1314377765000 2103004424000 2628755530000 4206008848000 5257511060000 10515022120000 21030044240000