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457715434040 = 235151389194809
BaseRepresentation
bin1101010100100011111…
…01110100001000111000
31121202102222100012101222
412222101331310020320
524444400122342130
6550134354131212
745032420665364
oct6522175641070
91552388305358
10457715434040
11167130480217
127485bb80b08
1334215998447
14182214842a4
15bd8d7c7ce5
hex6a91f74238

457715434040 has 64 divisors (see below), whose sum is σ = 1039350312000. Its totient is φ = 181405209600.

The previous prime is 457715434039. The next prime is 457715434087. The reversal of 457715434040 is 40434517754.

It is a junction number, because it is equal to n+sod(n) for n = 457715433982 and 457715434000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2252156 + ... + 2446964.

It is an arithmetic number, because the mean of its divisors is an integer number (16239848625).

Almost surely, 2457715434040 is an apocalyptic number.

457715434040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457715434040 is an abundant number, since it is smaller than the sum of its proper divisors (581634877960).

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

457715434040 is a wasteful number, since it uses less digits than its factorization.

457715434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195360 (or 195356 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 457715434040 in words is "four hundred fifty-seven billion, seven hundred fifteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 389 604 755 778 1208 1510 1556 1945 3020 3112 3890 6040 7780 15560 58739 117478 194809 234956 293695 389618 469912 587390 779236 974045 1174780 1558472 1948090 2349560 3896180 7792360 29416159 58832318 75780701 117664636 147080795 151561402 235329272 294161590 303122804 378903505 588323180 606245608 757807010 1176646360 1515614020 3031228040 11442885851 22885771702 45771543404 57214429255 91543086808 114428858510 228857717020 457715434040