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40347874304 = 2101013671063
BaseRepresentation
bin100101100100111010…
…111011010000000000
310212010220122101022222
4211210322323100000
51130113023434204
630311402550212
72625600162413
oct454472732000
9125126571288
1040347874304
1116125361171
1279a0508368
133a6017304a
141d4a883b7a
1510b2300abe
hex964ebb400

40347874304 has 88 divisors (see below), whose sum is σ = 81753708288. Its totient is φ = 19901030400.

The previous prime is 40347874297. The next prime is 40347874309.

40347874304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40347874309) 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, 37956077 + ... + 37957139.

Almost surely, 240347874304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40347874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876854144).

40347874304 is an abundant number, since it is smaller than the sum of its proper divisors (41405833984).

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

40347874304 is a wasteful number, since it uses less digits than its factorization.

40347874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 44.

The spelling of 40347874304 in words is "forty billion, three hundred forty-seven million, eight hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 367 404 512 734 808 1024 1063 1468 1616 2126 2936 3232 4252 5872 6464 8504 11744 12928 17008 23488 25856 34016 37067 46976 51712 68032 74134 93952 103424 107363 136064 148268 187904 214726 272128 296536 375808 390121 429452 544256 593072 780242 858904 1088512 1186144 1560484 1717808 2372288 3120968 3435616 4744576 6241936 6871232 9489152 12483872 13742464 18978304 24967744 27484928 37956608 39402221 49935488 54969856 78804442 99870976 109939712 157608884 199741952 315217768 399483904 630435536 1260871072 2521742144 5043484288 10086968576 20173937152 40347874304