Search a number
-
+
146641024432 = 2472414562003
BaseRepresentation
bin1000100010010001111…
…1000111010110110000
3112000111122221212122001
42020210133013112300
54400310100240212
6151211014023344
713410621066400
oct2104437072660
9460448855561
10146641024432
1157210043091
1224505947b54
1310a9c6bb556
147151622800
153c33c7c657
hex22247c75b0

146641024432 has 60 divisors (see below), whose sum is σ = 338564564856. Its totient is φ = 61313306880.

The previous prime is 146641024339. The next prime is 146641024441. The reversal of 146641024432 is 234420146641.

It is a super-3 number, since 3×1466410244323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146641024391 and 146641024400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248858 + ... + 2313145.

Almost surely, 2146641024432 is an apocalyptic number.

It is an amenable number.

146641024432 is an abundant number, since it is smaller than the sum of its proper divisors (191923540424).

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

146641024432 is a wasteful number, since it uses less digits than its factorization.

146641024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562066 (or 4562053 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 146641024432 in words is "one hundred forty-six billion, six hundred forty-one million, twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 2009 2296 4018 4592 8036 16072 32144 4562003 9124006 18248012 31934021 36496024 63868042 72992048 127736084 187042123 223538147 255472168 374084246 447076294 510944336 748168492 894152588 1309294861 1496336984 1788305176 2618589722 2992673968 3576610352 5237179444 9165064027 10474358888 18330128054 20948717776 36660256108 73320512216 146641024432