Search a number
-
+
4437502345444 = 22721725321672
BaseRepresentation
bin100000010010010111111…
…0000000100000011100100
3120201012222011112121111011
41000210233300010003210
51040201001100023234
613234321015352004
7635412305405200
oct100445760040344
916635864477434
104437502345444
111460a30430193
125b8026682604
132625babcb60c
14114ac20adb00
157a669e74b64
hex4092fc040e4

4437502345444 has 243 divisors, whose sum is σ = 9839518607163. Its totient is φ = 1745629057536.

The previous prime is 4437502345421. The next prime is 4437502345477. The reversal of 4437502345444 is 4445432057344.

The square root of 4437502345444 is 2106538.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1111839495844 + 3325662849600 = 1054438^2 + 1823640^2 .

It is a super-2 number, since 2×44375023454442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26571870249 + ... + 26571870415.

Almost surely, 24437502345444 is an apocalyptic number.

4437502345444 is the 2106538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4437502345444

4437502345444 is an abundant number, since it is smaller than the sum of its proper divisors (5402016261719).

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

4437502345444 is a wasteful number, since it uses less digits than its factorization.

4437502345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 49.

Multiplying 4437502345444 by its sum of digits (49), we get a square (217437614926756 = 147457662).

4437502345444 divided by its sum of digits (49) gives a square (90561272356 = 3009342).

The spelling of 4437502345444 in words is "four trillion, four hundred thirty-seven billion, five hundred two million, three hundred forty-five thousand, four hundred forty-four".