Search a number
-
+
146265632000 = 28534570801
BaseRepresentation
bin1000100000111000011…
…1000110110100000000
3111222112111120222000122
42020032013012310000
54344023000211000
6151105444035412
713365412233665
oct2101607066400
9458474528018
10146265632000
1157038155204
1224420092b68
1310a3c9b4657
147117825a6c
153c10d2a085
hex220e1c6d00

146265632000 has 72 divisors (see below), whose sum is σ = 364366052232. Its totient is φ = 58506240000.

The previous prime is 146265631997. The next prime is 146265632027. The reversal of 146265632000 is 236562641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 146254234624 = 3376^2 + 382432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2253401 + ... + 2317400.

Almost surely, 2146265632000 is an apocalyptic number.

146265632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146265632000 is an abundant number, since it is smaller than the sum of its proper divisors (218100420232).

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

146265632000 is an frugal number, since it uses more digits than its factorization.

146265632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570832 (or 4570808 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 146265632000 in words is "one hundred forty-six billion, two hundred sixty-five million, six hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 4570801 9141602 18283204 22854005 36566408 45708010 73132816 91416020 114270025 146265632 182832040 228540050 292531264 365664080 457080100 571350125 585062528 731328160 914160200 1142700250 1170125056 1462656320 1828320400 2285400500 2925312640 3656640800 4570801000 5850625280 7313281600 9141602000 14626563200 18283204000 29253126400 36566408000 73132816000 146265632000