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420240422040 = 23353502003517
BaseRepresentation
bin1100001110110000100…
…01111111010010011000
31111011201021111100021120
412013120101333102120
523341123022001130
6521020014405240
742234643435545
oct6073021772230
91434637440246
10420240422040
1115224a84301a
1269541800820
1330822a83c2a
14164a838dbcc
15ade8805910
hex61d847f498

420240422040 has 32 divisors (see below), whose sum is σ = 1260721266480. Its totient is φ = 112064112512.

The previous prime is 420240422023. The next prime is 420240422099. The reversal of 420240422040 is 40224042024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 420240422040.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1751001639 + ... + 1751001878.

Almost surely, 2420240422040 is an apocalyptic number.

420240422040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420240422040 is an abundant number, since it is smaller than the sum of its proper divisors (840480844440).

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

420240422040 is a wasteful number, since it uses less digits than its factorization.

420240422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502003531 (or 3502003527 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420240422040 its reverse (40224042024), we get a palindrome (460464464064).

The spelling of 420240422040 in words is "four hundred twenty billion, two hundred forty million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3502003517 7004007034 10506010551 14008014068 17510017585 21012021102 28016028136 35020035170 42024042204 52530052755 70040070340 84048084408 105060105510 140080140680 210120211020 420240422040