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4083627421440 = 28325750640221
BaseRepresentation
bin111011011011001011001…
…010010110111100000000
3112110101120000102212200100
4323123023022112330000
51013401232104441230
612403554215522400
7601014044235330
oct73331312267400
915411500385610
104083627421440
111334947246106
1255b526689400
132381135c1a68
14101911b650c0
1571357b55660
hex3b6cb296f00

4083627421440 has 216 divisors, whose sum is σ = 16147343747808. Its totient is φ = 933400535040.

The previous prime is 4083627421439. The next prime is 4083627421501. The reversal of 4083627421440 is 441247263804.

4083627421440 is a `hidden beast` number, since 4 + 0 + 8 + 3 + 627 + 4 + 2 + 14 + 4 + 0 = 666.

4083627421440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25239471 + ... + 25400750.

Almost surely, 24083627421440 is an apocalyptic number.

4083627421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4083627421440 is an abundant number, since it is smaller than the sum of its proper divisors (12063716326368).

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

4083627421440 is a wasteful number, since it uses less digits than its factorization.

4083627421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50640255 (or 50640238 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4083627421440 in words is "four trillion, eighty-three billion, six hundred twenty-seven million, four hundred twenty-one thousand, four hundred forty".