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40116143340 = 2232571331199397
BaseRepresentation
bin100101010111000110…
…111100010011101100
310211112202121020012200
4211113012330103230
51124124213041330
630232404101500
72620054410060
oct452706742354
9124482536180
1040116143340
1116016576279
127936994890
133a24158c30
141d27ba1aa0
15109bcc9a60
hex9571bc4ec

40116143340 has 576 divisors, whose sum is σ = 155766374400. Its totient is φ = 8129341440.

The previous prime is 40116143321. The next prime is 40116143341. The reversal of 40116143340 is 4334161104.

40116143340 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 614 + 3 + 3 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (40116143341) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 101048022 + ... + 101048418.

Almost surely, 240116143340 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 40116143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77883187200).

40116143340 is an abundant number, since it is smaller than the sum of its proper divisors (115650231060).

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

40116143340 is a wasteful number, since it uses less digits than its factorization.

40116143340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40116143340 in words is "forty billion, one hundred sixteen million, one hundred forty-three thousand, three hundred forty".