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42121043440 = 245775216149
BaseRepresentation
bin100111001110100111…
…000001110111110000
311000201111011201002221
4213032213001313300
51142230441342230
631203344050424
73020540650630
oct471647016760
9130644151087
1042121043440
111695525a403
1281b6303a14
133c8362a758
1420781746c0
151167d0927a
hex9ce9c1df0

42121043440 has 40 divisors (see below), whose sum is σ = 111921631200. Its totient is φ = 14441500416.

The previous prime is 42121043413. The next prime is 42121043467. The reversal of 42121043440 is 4434012124.

It is an interprime number because it is at equal distance from previous prime (42121043413) and next prime (42121043467).

It is a tau number, because it is divible by the number of its divisors (40).

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, 37607515 + ... + 37608634.

It is an arithmetic number, because the mean of its divisors is an integer number (2798040780).

Almost surely, 242121043440 is an apocalyptic number.

42121043440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121043440 is an abundant number, since it is smaller than the sum of its proper divisors (69800587760).

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

42121043440 is a wasteful number, since it uses less digits than its factorization.

42121043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75216169 (or 75216163 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42121043440 its reverse (4434012124), we get a palindrome (46555055564).

The spelling of 42121043440 in words is "forty-two billion, one hundred twenty-one million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75216149 150432298 300864596 376080745 526513043 601729192 752161490 1053026086 1203458384 1504322980 2106052172 2632565215 3008645960 4212104344 5265130430 6017291920 8424208688 10530260860 21060521720 42121043440