Search a number
-
+
5120141524524 = 22321357718960959
BaseRepresentation
bin100101010000010000000…
…1101110111111000101100
3200010110222110120221001200
41022200200031313320230
51132342022212241044
614520054402205500
71035626610604365
oct112404015677054
920113873527050
105120141524524
1116a44924550a4
126a8399053890
132b1a9a6a0850
14139b5d80cb6c
158d2bed30369
hex4a820377e2c

5120141524524 has 72 divisors (see below), whose sum is σ = 13962320037120. Its totient is φ = 1572697700352.

The previous prime is 5120141524517. The next prime is 5120141524637. The reversal of 5120141524524 is 4254251410215.

5120141524524 is a `hidden beast` number, since 5 + 12 + 0 + 141 + 52 + 452 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9210444 + ... + 9750515.

Almost surely, 25120141524524 is an apocalyptic number.

It is an amenable number.

5120141524524 is an abundant number, since it is smaller than the sum of its proper divisors (8842178512596).

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

5120141524524 is a wasteful number, since it uses less digits than its factorization.

5120141524524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18961559 (or 18961554 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 5120141524524 its reverse (4254251410215), we get a palindrome (9374392934739).

The spelling of 5120141524524 in words is "five trillion, one hundred twenty billion, one hundred forty-one million, five hundred twenty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 577 1154 1731 2308 3462 5193 6924 7501 10386 15002 20772 22503 30004 45006 67509 90012 135018 270036 18960959 37921918 56882877 75843836 113765754 170648631 227531508 246492467 341297262 492984934 682594524 739477401 985969868 1478954802 2218432203 2957909604 4436864406 8873728812 10940473343 21880946686 32821420029 43761893372 65642840058 98464260087 131285680116 142226153459 196928520174 284452306918 393857040348 426678460377 568904613836 853356920754 1280035381131 1706713841508 2560070762262 5120141524524