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40928104350 = 232527177191063
BaseRepresentation
bin100110000111100000…
…010100111110011110
310220122100110010022200
4212013200110332132
51132310043314400
630445131152330
72646144101250
oct460740247636
9126570403280
1040928104350
11163a2936631
127b228a56a6
133b23439133
141da3961cd0
1510e8215b00
hex987814f9e

40928104350 has 288 divisors, whose sum is σ = 133371463680. Its totient is φ = 8784184320.

The previous prime is 40928104339. The next prime is 40928104351. The reversal of 40928104350 is 5340182904.

40928104350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40928104351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38501919 + ... + 38502981.

It is an arithmetic number, because the mean of its divisors is an integer number (463095360).

Almost surely, 240928104350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40928104350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685731840).

40928104350 is an abundant number, since it is smaller than the sum of its proper divisors (92443359330).

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

40928104350 is a wasteful number, since it uses less digits than its factorization.

40928104350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40928104350 in words is "forty billion, nine hundred twenty-eight million, one hundred four thousand, three hundred fifty".