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1226157231240 = 233253405992309
BaseRepresentation
bin10001110101111100101…
…010101000110010001000
311100012221000011010121200
4101311330222220302020
5130042132222344430
62335142220504200
7154405214333304
oct21657452506210
94305830133550
101226157231240
11433012878077
121797796ab060
138b81a7bc826
14434bc46ad04
1521d6629b460
hex11d7caa8c88

1226157231240 has 48 divisors (see below), whose sum is σ = 3985011002700. Its totient is φ = 326975261568.

The previous prime is 1226157231239. The next prime is 1226157231293. The reversal of 1226157231240 is 421327516221.

1226157231240 is a `hidden beast` number, since 1 + 2 + 2 + 61 + 572 + 3 + 1 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1223072317476 + 3084913764 = 1105926^2 + 55542^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1226157231195 and 1226157231204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1702995795 + ... + 1702996514.

Almost surely, 21226157231240 is an apocalyptic number.

1226157231240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1226157231240 is an abundant number, since it is smaller than the sum of its proper divisors (2758853771460).

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

1226157231240 is a wasteful number, since it uses less digits than its factorization.

1226157231240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405992326 (or 3405992319 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1226157231240 in words is "one trillion, two hundred twenty-six billion, one hundred fifty-seven million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3405992309 6811984618 10217976927 13623969236 17029961545 20435953854 27247938472 30653930781 34059923090 40871907708 51089884635 61307861562 68119846180 81743815416 102179769270 122615723124 136239692360 153269653905 204359538540 245231446248 306539307810 408719077080 613078615620 1226157231240