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146323530240 = 293519052543
BaseRepresentation
bin1000100001000110001…
…1111110001000000000
3111222200112112111110220
42020101203332020000
54344132310431430
6151115313023040
713400014325346
oct2102143761000
9458615474426
10146323530240
11570678aaa98
1224437554a80
1310a4b9a6a74
1471213b7996
153c15e65110
hex22118fe200

146323530240 has 80 divisors (see below), whose sum is σ = 467778060288. Its totient is φ = 39019606016.

The previous prime is 146323530209. The next prime is 146323530263. The reversal of 146323530240 is 42035323641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9518592 + ... + 9533951.

Almost surely, 2146323530240 is an apocalyptic number.

146323530240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146323530240 is an abundant number, since it is smaller than the sum of its proper divisors (321454530048).

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

146323530240 is an equidigital number, since it uses as much as digits as its factorization.

146323530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052569 (or 19052553 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 146323530240 its reverse (42035323641), we get a palindrome (188358853881).

The spelling of 146323530240 in words is "one hundred forty-six billion, three hundred twenty-three million, five hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 19052543 38105086 57157629 76210172 95262715 114315258 152420344 190525430 228630516 285788145 304840688 381050860 457261032 571576290 609681376 762101720 914522064 1143152580 1219362752 1524203440 1829044128 2286305160 2438725504 3048406880 3658088256 4572610320 4877451008 6096813760 7316176512 9145220640 9754902016 12193627520 14632353024 18290441280 24387255040 29264706048 36580882560 48774510080 73161765120 146323530240