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42313133040 = 2435176304721
BaseRepresentation
bin100111011010000011…
…110010101111110000
311001012212121212111120
4213122003302233300
51143124130224130
631234405142240
73025362460623
oct473203625760
9131185555446
1042313133040
1116a4372a142
12824a6ba980
133cb4375339
142095897dba
151179aee910
hex9da0f2bf0

42313133040 has 40 divisors (see below), whose sum is σ = 131170713168. Its totient is φ = 11283502080.

The previous prime is 42313133021. The next prime is 42313133063. The reversal of 42313133040 is 4033131324.

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 42313133040.

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, 88152121 + ... + 88152600.

Almost surely, 242313133040 is an apocalyptic number.

42313133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42313133040 is an abundant number, since it is smaller than the sum of its proper divisors (88857580128).

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

42313133040 is a wasteful number, since it uses less digits than its factorization.

42313133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176304737 (or 176304731 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42313133040 its reverse (4033131324), we get a palindrome (46346264364).

The spelling of 42313133040 in words is "forty-two billion, three hundred thirteen million, one hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 176304721 352609442 528914163 705218884 881523605 1057828326 1410437768 1763047210 2115656652 2644570815 2820875536 3526094420 4231313304 5289141630 7052188840 8462626608 10578283260 14104377680 21156566520 42313133040