Search a number
-
+
4443144411144 = 233191969272341
BaseRepresentation
bin100000010101000000000…
…0010110101100000001000
3120201202112101002020121110
41000222000002311200020
51040244024432124034
613241052524410320
7636002155232265
oct100520002654010
916652471066543
104443144411144
1114633662076aa
125b91400a69a0
13262ca9a9392a
1411509954826c
157a89a457de9
hex40a800b5808

4443144411144 has 32 divisors (see below), whose sum is σ = 11166017379840. Its totient is φ = 1473293956800.

The previous prime is 4443144411143. The next prime is 4443144411149. The reversal of 4443144411144 is 4411144413444.

It is a super-2 number, since 2×44431444111442 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4443144411143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 484631587 + ... + 484640754.

It is an arithmetic number, because the mean of its divisors is an integer number (348938043120).

Almost surely, 24443144411144 is an apocalyptic number.

It is an amenable number.

4443144411144 is an abundant number, since it is smaller than the sum of its proper divisors (6722872968696).

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

4443144411144 is a wasteful number, since it uses less digits than its factorization.

4443144411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969272541 (or 969272537 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

Adding to 4443144411144 its reverse (4411144413444), we get a palindrome (8854288824588).

The spelling of 4443144411144 in words is "four trillion, four hundred forty-three billion, one hundred forty-four million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 2292 4584 969272341 1938544682 2907817023 3877089364 5815634046 7754178728 11631268092 23262536184 185131017131 370262034262 555393051393 740524068524 1110786102786 1481048137048 2221572205572 4443144411144