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1242971784040 = 235723193008041
BaseRepresentation
bin10010000101100110111…
…001000100001101101000
311101211022211200220210111
4102011212321010031220
5130331101234042130
62351002515024104
7155541666561160
oct22054671041550
94354284626714
101242971784040
1143a1611934a8
12180a9089b034
139029a25285c
14442356755a0
15224ec54102a
hex12166e44368

1242971784040 has 64 divisors (see below), whose sum is σ = 3335178965760. Its totient is φ = 407632980480.

The previous prime is 1242971783953. The next prime is 1242971784053. The reversal of 1242971784040 is 404871792421.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96497581 + ... + 96510460.

It is an arithmetic number, because the mean of its divisors is an integer number (52112171340).

Almost surely, 21242971784040 is an apocalyptic number.

1242971784040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242971784040 is an abundant number, since it is smaller than the sum of its proper divisors (2092207181720).

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

1242971784040 is a wasteful number, since it uses less digits than its factorization.

1242971784040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193008082 (or 193008078 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 1242971784040 in words is "one trillion, two hundred forty-two billion, nine hundred seventy-one million, seven hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 193008041 386016082 772032164 965040205 1351056287 1544064328 1930080410 2702112574 3860160820 4439184943 5404225148 6755281435 7720321640 8878369886 10808450296 13510562870 17756739772 22195924715 27021125740 31074294601 35513479544 44391849430 54042251480 62148589202 88783698860 124297178404 155371473005 177567397720 248594356808 310742946010 621485892020 1242971784040