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146255236640 = 2556113149533
BaseRepresentation
bin1000100000110101111…
…1011100111000100000
3111222111210000211021022
42020031133130320200
54344012320033030
6151104433145012
713365224666552
oct2101537347040
9458453024238
10146255236640
11570322a4aa7
12244186bb168
1310a3a7b4b56
1471162bb4d2
153c0ee74de5
hex220d7dce20

146255236640 has 48 divisors (see below), whose sum is σ = 345586831128. Its totient is φ = 58492133376.

The previous prime is 146255236637. The next prime is 146255236643. The reversal of 146255236640 is 46632552641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (146255236637) and next prime (146255236643).

It can be written as a sum of positive squares in 4 ways, for example, as 132522209296 + 13733027344 = 364036^2 + 117188^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146255236591 and 146255236600.

It is not an unprimeable number, because it can be changed into a prime (146255236643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 903314 + ... + 1052846.

Almost surely, 2146255236640 is an apocalyptic number.

146255236640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146255236640 is an abundant number, since it is smaller than the sum of its proper divisors (199331594488).

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

146255236640 is a wasteful number, since it uses less digits than its factorization.

146255236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155661 (or 155653 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 146255236640 in words is "one hundred forty-six billion, two hundred fifty-five million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6113 12226 24452 30565 48904 61130 97808 122260 149533 195616 244520 299066 489040 598132 747665 978080 1196264 1495330 2392528 2990660 4785056 5981320 11962640 23925280 914095229 1828190458 3656380916 4570476145 7312761832 9140952290 14625523664 18281904580 29251047328 36563809160 73127618320 146255236640