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40447490688 = 27321137281307
BaseRepresentation
bin100101101010110110…
…111011101010000000
310212101212002102022200
4211222312323222000
51130314024200223
630325322033200
72631216666243
oct455266735200
9125355072280
1040447490688
1116176610460
127a09948800
133a779b1057
141d59bb525a
1510bae2ba43
hex96adbba80

40447490688 has 384 divisors, whose sum is σ = 131295003840. Its totient is φ = 11844403200.

The previous prime is 40447490663. The next prime is 40447490731. The reversal of 40447490688 is 88609474404.

40447490688 is a `hidden beast` number, since 4 + 0 + 4 + 474 + 90 + 6 + 88 = 666.

40447490688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131750631 + ... + 131750937.

Almost surely, 240447490688 is an apocalyptic number.

40447490688 is a gapful number since it is divisible by the number (48) 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 40447490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65647501920).

40447490688 is an abundant number, since it is smaller than the sum of its proper divisors (90847513152).

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

40447490688 is a wasteful number, since it uses less digits than its factorization.

40447490688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

It can be divided in two parts, 40447 and 490688, that added together give a palindrome (531135).

The spelling of 40447490688 in words is "forty billion, four hundred forty-seven million, four hundred ninety thousand, six hundred eighty-eight".