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40774390272 = 2932711231337
BaseRepresentation
bin100101111110010101…
…111101001000000000
310220020122012122020200
4211332111331020000
51132001220442042
630422000405200
72642266412250
oct457625751000
9126218178220
1040774390272
1116324097a00
127a9b316800
133aca639865
141d8b38b960
1510d99a0c4c
hex97e57d200

40774390272 has 720 divisors, whose sum is σ = 153047870976. Its totient is φ = 10218700800.

The previous prime is 40774390183. The next prime is 40774390289. The reversal of 40774390272 is 27209347704.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 120992088 + ... + 120992424.

Almost surely, 240774390272 is an apocalyptic number.

40774390272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40774390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76523935488).

40774390272 is an abundant number, since it is smaller than the sum of its proper divisors (112273480704).

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

40774390272 is a wasteful number, since it uses less digits than its factorization.

40774390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40774390272 in words is "forty billion, seven hundred seventy-four million, three hundred ninety thousand, two hundred seventy-two".