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424401143144 = 231121037575623
BaseRepresentation
bin1100010110100000100…
…01111000010101101000
31111120110020121212122012
412023100101320111220
523423133143040034
6522544525215052
742443025124016
oct6132021702550
91446406555565
10424401143144
11153a95421400
126a303101488
1331036a89394
1416780bbd8b6
15b08dc26cce
hex62d0478568

424401143144 has 96 divisors (see below), whose sum is σ = 884485580160. Its totient is φ = 190750412160.

The previous prime is 424401143137. The next prime is 424401143183. The reversal of 424401143144 is 441341104424.

It is a self number, because there is not a number n which added to its sum of digits gives 424401143144.

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, 75473117 + ... + 75478739.

It is an arithmetic number, because the mean of its divisors is an integer number (9213391460).

Almost surely, 2424401143144 is an apocalyptic number.

424401143144 is a gapful number since it is divisible by the number (44) 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 424401143144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442242790080).

424401143144 is an abundant number, since it is smaller than the sum of its proper divisors (460084437016).

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

424401143144 is a wasteful number, since it uses less digits than its factorization.

424401143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 424401143144 its reverse (441341104424), we get a palindrome (865742247568).

The spelling of 424401143144 in words is "four hundred twenty-four billion, four hundred one million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 121 206 242 412 484 757 824 968 1133 1514 2266 3028 4532 5623 6056 8327 9064 11246 12463 16654 22492 24926 33308 44984 49852 61853 66616 77971 91597 99704 123706 155942 183194 247412 311884 366388 494824 579169 623768 680383 732776 857681 1158338 1360766 1715362 2316676 2721532 3430724 4256611 4633352 5443064 6370859 6861448 8513222 9434491 12741718 17026444 18868982 25483436 34052888 37737964 46822721 50966872 70079449 75475928 93645442 140158898 187290884 280317796 374581768 438430933 515049931 560635592 876861866 1030099862 1753723732 2060199724 3507447464 4120399448 4822740263 9645480526 19290961052 38581922104 53050142893 106100285786 212200571572 424401143144