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40822434768 = 2438297102503
BaseRepresentation
bin100110000001001101…
…001110101111010000
310220100222121112220110
4212001031032233100
51132101020403033
630430434241320
72643421653543
oct460115165720
9126328545813
1040822434768
11163492224a5
127ab3426240
133b0758bb5b
141d938d685a
1510ddce1363
hex98134ebd0

40822434768 has 40 divisors (see below), whose sum is σ = 105471695808. Its totient is φ = 13605705472.

The previous prime is 40822434767. The next prime is 40822434791. The reversal of 40822434768 is 86743422804.

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 Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40822434767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347005 + ... + 449507.

Almost surely, 240822434768 is an apocalyptic number.

40822434768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40822434768 is an abundant number, since it is smaller than the sum of its proper divisors (64649261040).

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

40822434768 is a wasteful number, since it uses less digits than its factorization.

40822434768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110811 (or 110805 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 40822434768 in words is "forty billion, eight hundred twenty-two million, four hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 8297 16594 24891 33188 49782 66376 99564 102503 132752 199128 205006 307509 398256 410012 615018 820024 1230036 1640048 2460072 4920144 850467391 1700934782 2551402173 3401869564 5102804346 6803739128 10205608692 13607478256 20411217384 40822434768