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47444298440 = 235711231199227
BaseRepresentation
bin101100001011111001…
…101000101011001000
311112110110211002011112
4230023321220223020
51234131220022230
633443503545452
73266466611540
oct541371505310
9145413732145
1047444298440
1119137084700
129240bbb288
134621439c96
142421140320
15137a314d95
hexb0be68ac8

47444298440 has 384 divisors, whose sum is σ = 139732992000. Its totient is φ = 14176166400.

The previous prime is 47444298329. The next prime is 47444298449. The reversal of 47444298440 is 4489244474.

It is a super-2 number, since 2×474442984402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47444298449) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 209005607 + ... + 209005833.

It is an arithmetic number, because the mean of its divisors is an integer number (363888000).

Almost surely, 247444298440 is an apocalyptic number.

47444298440 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 47444298440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69866496000).

47444298440 is an abundant number, since it is smaller than the sum of its proper divisors (92288693560).

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

47444298440 is a wasteful number, since it uses less digits than its factorization.

47444298440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 50.

The spelling of 47444298440 in words is "forty-seven billion, four hundred forty-four million, two hundred ninety-eight thousand, four hundred forty".