Search a number
-
+
1004443021032 = 233112438043781
BaseRepresentation
bin11101001110111010111…
…10000010111011101000
310120000122100202021112120
432213131132002323220
5112424044403133112
62045233523511240
7132366014544063
oct16473536027350
93500570667476
101004443021032
11357a88999400
12142801b28520
1373945912479
143688855d8da
151b1db84be8c
hexe9dd782ee8

1004443021032 has 96 divisors (see below), whose sum is σ = 2824332735840. Its totient is φ = 297298108800.

The previous prime is 1004443021019. The next prime is 1004443021051. The reversal of 1004443021032 is 2301203444001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1004443020993 and 1004443021011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3897019 + ... + 4146762.

It is an arithmetic number, because the mean of its divisors is an integer number (29420132665).

Almost surely, 21004443021032 is an apocalyptic number.

1004443021032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004443021032 is an abundant number, since it is smaller than the sum of its proper divisors (1819889714808).

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

1004443021032 is a wasteful number, since it uses less digits than its factorization.

1004443021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043855 (or 8043840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1004443021032 its reverse (2301203444001), we get a palindrome (3305646465033).

The spelling of 1004443021032 in words is "one trillion, four billion, four hundred forty-three million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 121 129 132 172 242 258 264 344 363 473 484 516 726 946 968 1032 1419 1452 1892 2838 2904 3784 5203 5676 10406 11352 15609 20812 31218 41624 62436 124872 8043781 16087562 24131343 32175124 48262686 64350248 88481591 96525372 176963182 193050744 265444773 345882583 353926364 530889546 691765166 707852728 973297501 1037647749 1061779092 1383530332 1946595002 2075295498 2123558184 2767060664 2919892503 3804708413 3893190004 4150590996 5839785006 7609416826 7786380008 8301181992 11414125239 11679570012 15218833652 22828250478 23359140024 30437667304 41851792543 45656500956 83703585086 91313001912 125555377629 167407170172 251110755258 334814340344 502221510516 1004443021032