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40406298360 = 233517671012927
BaseRepresentation
bin100101101000011001…
…110010111011111000
310212021222120122001220
4211220121302323320
51130223003021420
630321251112040
72630206604061
oct455031627370
9125258518056
1040406298360
111615533600a
1279b7ba2620
133a6c2ba8ac
141d54531568
1510b74e1840
hex968672ef8

40406298360 has 256 divisors, whose sum is σ = 131599779840. Its totient is φ = 9887539200.

The previous prime is 40406298341. The next prime is 40406298367. The reversal of 40406298360 is 6389260404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406298367) 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 63 ways as a sum of consecutive naturals, for example, 13803217 + ... + 13806143.

It is an arithmetic number, because the mean of its divisors is an integer number (514061640).

Almost surely, 240406298360 is an apocalyptic number.

40406298360 is a gapful number since it is divisible by the number (40) 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 40406298360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65799889920).

40406298360 is an abundant number, since it is smaller than the sum of its proper divisors (91193481480).

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

40406298360 is a wasteful number, since it uses less digits than its factorization.

40406298360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 40406298360 in words is "forty billion, four hundred six million, two hundred ninety-eight thousand, three hundred sixty".