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42111331440 = 2435175463881
BaseRepresentation
bin100111001110000001…
…111110110001110000
311000200210220021202020
4213032001332301300
51142221000101230
631202355551440
73020362261023
oct471601766160
9130623807666
1042111331440
111694a826662
1281b2bbb580
133c81609cc9
142076b671ba
15116703b810
hex9ce07ec70

42111331440 has 40 divisors (see below), whose sum is σ = 130545128208. Its totient is φ = 11229688320.

The previous prime is 42111331429. The next prime is 42111331571. The reversal of 42111331440 is 4413311124.

42111331440 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 42111331440.

It is a congruent number.

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, 87731701 + ... + 87732180.

Almost surely, 242111331440 is an apocalyptic number.

42111331440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42111331440 is an abundant number, since it is smaller than the sum of its proper divisors (88433796768).

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

42111331440 is a wasteful number, since it uses less digits than its factorization.

42111331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175463897 (or 175463891 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42111331440 its reverse (4413311124), we get a palindrome (46524642564).

The spelling of 42111331440 in words is "forty-two billion, one hundred eleven million, three hundred thirty-one 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 175463881 350927762 526391643 701855524 877319405 1052783286 1403711048 1754638810 2105566572 2631958215 2807422096 3509277620 4211133144 5263916430 7018555240 8422266288 10527832860 14037110480 21055665720 42111331440