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1282757300940 = 2235172275540111
BaseRepresentation
bin10010101010101010010…
…010110001001011001100
311112122000120011120210110
4102222222102301023030
5132004041332112230
62421142432440020
7161450631103623
oct22525222611314
94478016146713
101282757300940
11455018067185
121887349a9010
1393c6aa4982b
144612b5706ba
152357a2ac4b0
hex12aaa4b12cc

1282757300940 has 96 divisors (see below), whose sum is σ = 3819752100864. Its totient is φ = 320528604160.

The previous prime is 1282757300879. The next prime is 1282757300941. The reversal of 1282757300940 is 490037572821.

It is a happy number.

It is a super-2 number, since 2×12827573009402 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1282757300940.

It is not an unprimeable number, because it can be changed into a prime (1282757300941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538516 + ... + 3001595.

It is an arithmetic number, because the mean of its divisors is an integer number (39789084384).

Almost surely, 21282757300940 is an apocalyptic number.

1282757300940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282757300940 is an abundant number, since it is smaller than the sum of its proper divisors (2536994799924).

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

1282757300940 is a wasteful number, since it uses less digits than its factorization.

1282757300940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540367 (or 5540365 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1282757300940 in words is "one trillion, two hundred eighty-two billion, seven hundred fifty-seven million, three hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 227 255 340 454 510 681 908 1020 1135 1362 2270 2724 3405 3859 4540 6810 7718 11577 13620 15436 19295 23154 38590 46308 57885 77180 115770 231540 5540111 11080222 16620333 22160444 27700555 33240666 55401110 66481332 83101665 94181887 110802220 166203330 188363774 282545661 332406660 376727548 470909435 565091322 941818870 1130182644 1257605197 1412728305 1883637740 2515210394 2825456610 3772815591 5030420788 5650913220 6288025985 7545631182 12576051970 15091262364 18864077955 21379288349 25152103940 37728155910 42758576698 64137865047 75456311820 85517153396 106896441745 128275730094 213792883490 256551460188 320689325235 427585766980 641378650470 1282757300940