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42241003440 = 2435176004181
BaseRepresentation
bin100111010101110000…
…101000111110110000
311001000211220022021220
4213111300220332300
51143002144102230
631223311145040
73023525414346
oct472560507660
9131024808256
1042241003440
1116a06a440a9
12822a515180
133ca243c3bc
14208a07d996
151173602d10
hex9d5c28fb0

42241003440 has 40 divisors (see below), whose sum is σ = 130947111408. Its totient is φ = 11264267520.

The previous prime is 42241003439. The next prime is 42241003477. The reversal of 42241003440 is 4430014224.

It is a happy number.

42241003440 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 (40).

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 42241003440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88001851 + ... + 88002330.

Almost surely, 242241003440 is an apocalyptic number.

42241003440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241003440 is an abundant number, since it is smaller than the sum of its proper divisors (88706107968).

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

42241003440 is a wasteful number, since it uses less digits than its factorization.

42241003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176004197 (or 176004191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42241003440 its reverse (4430014224), we get a palindrome (46671017664).

The spelling of 42241003440 in words is "forty-two billion, two hundred forty-one million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176004181 352008362 528012543 704016724 880020905 1056025086 1408033448 1760041810 2112050172 2640062715 2816066896 3520083620 4224100344 5280125430 7040167240 8448200688 10560250860 14080334480 21120501720 42241003440