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501143124144 = 243136131310137
BaseRepresentation
bin1110100101011100111…
…01010011100010110000
31202220112112012102202210
413102232131103202300
531202320114433034
61022115540212120
751130536161655
oct7225635234260
91686475172683
10501143124144
111835962575a3
128115b99a040
1338346c1a2b0
141a380d89c2c
15d0811868e9
hex74ae7538b0

501143124144 has 80 divisors (see below), whose sum is σ = 1396481334752. Its totient is φ = 153946220544.

The previous prime is 501143124143. The next prime is 501143124149. The reversal of 501143124144 is 441421341105.

501143124144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×5011431241443 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (501143124143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272557 + ... + 1037580.

Almost surely, 2501143124144 is an apocalyptic number.

It is an amenable number.

501143124144 is an abundant number, since it is smaller than the sum of its proper divisors (895338210608).

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

501143124144 is a wasteful number, since it uses less digits than its factorization.

501143124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310774 (or 1310768 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 501143124144 its reverse (441421341105), we get a palindrome (942564465249).

The spelling of 501143124144 in words is "five hundred one billion, one hundred forty-three million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 613 624 1226 1839 2452 3678 4904 7356 7969 9808 14712 15938 23907 29424 31876 47814 63752 95628 127504 191256 382512 1310137 2620274 3930411 5240548 7860822 10481096 15721644 17031781 20962192 31443288 34063562 51095343 62886576 68127124 102190686 136254248 204381372 272508496 408762744 803113981 817525488 1606227962 2409341943 3212455924 4818683886 6424911848 9637367772 10440481753 12849823696 19274735544 20880963506 31321445259 38549471088 41761927012 62642890518 83523854024 125285781036 167047708048 250571562072 501143124144