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146575444320320 = 2653461132345641
BaseRepresentation
bin100001010100111101000001…
…010010101010000001000000
3201012222110211201210101001212
4201110331001102222001000
5123202443002221222240
61235423455102545252
742605504102566361
oct4124750122520100
9635873751711055
10146575444320320
114278132a117644
1214533377898228
1363a300b252c02
14282a409dd7b68
1511e2b6c63a165
hex854f414aa040

146575444320320 has 56 divisors (see below), whose sum is σ = 349133626804248. Its totient is φ = 58613237043200.

The previous prime is 146575444320287. The next prime is 146575444320379. The reversal of 146575444320320 is 23023444575641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3202983137344 + 143372461182976 = 1789688^2 + 11973824^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65065301 + ... + 67280340.

Almost surely, 2146575444320320 is an apocalyptic number.

146575444320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146575444320320 is an abundant number, since it is smaller than the sum of its proper divisors (202558182483928).

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

146575444320320 is a wasteful number, since it uses less digits than its factorization.

146575444320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132349119 (or 132349109 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 50.

Adding to 146575444320320 its reverse (23023444575641), we get a palindrome (169598888895961).

The spelling of 146575444320320 in words is "one hundred forty-six trillion, five hundred seventy-five billion, four hundred forty-four million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3461 6922 13844 17305 27688 34610 55376 69220 110752 138440 221504 276880 553760 1107520 132345641 264691282 529382564 661728205 1058765128 1323456410 2117530256 2646912820 4235060512 5293825640 8470121024 10587651280 21175302560 42350605120 458048263501 916096527002 1832193054004 2290241317505 3664386108008 4580482635010 7328772216016 9160965270020 14657544432032 18321930540040 29315088864064 36643861080080 73287722160160 146575444320320