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1000027240000 = 265425000681
BaseRepresentation
bin11101000110101100100…
…01001011011001000000
310112121020121200100201221
432203112101023121000
5112341023433140000
62043223422204424
7132151415200645
oct16432621133100
93477217610657
101000027240000
11356122340798
1214198b123714
13733c0b15499
1436589cd7dcc
151b02dd4761a
hexe8d644b640

1000027240000 has 70 divisors (see below), whose sum is σ = 2479742645534. Its totient is φ = 400010880000.

The previous prime is 1000027239979. The next prime is 1000027240001. The reversal of 1000027240000 is 427200001.

It can be written as a sum of positive squares in 5 ways, for example, as 722146443264 + 277880796736 = 849792^2 + 527144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1000027240001) 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 9 ways as a sum of consecutive naturals, for example, 12460341 + ... + 12540340.

Almost surely, 21000027240000 is an apocalyptic number.

1000027240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000027240000 is an abundant number, since it is smaller than the sum of its proper divisors (1479715405534).

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

1000027240000 is an frugal number, since it uses more digits than its factorization.

1000027240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25000713 (or 25000688 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The spelling of 1000027240000 in words is "one trillion, twenty-seven million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 25000681 50001362 100002724 125003405 200005448 250006810 400010896 500013620 625017025 800021792 1000027240 1250034050 1600043584 2000054480 2500068100 3125085125 4000108960 5000136200 6250170250 8000217920 10000272400 12500340500 15625425625 20000544800 25000681000 31250851250 40001089600 50001362000 62501702500 100002724000 125003405000 200005448000 250006810000 500013620000 1000027240000