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42112102540440 = 2335825294252253
BaseRepresentation
bin10011001001100111111001…
…11010011010010010011000
312112002212200211110221220210
421210303330322122102120
521004431041222243230
6225322011031451120
711604333105316542
oct1144637472322230
9175085624427823
1042112102540440
1112466708029799
124881735b26aa0
131a66200ac5caa
14a5834549a692
154d06746abeb0
hex264cfce9a498

42112102540440 has 64 divisors (see below), whose sum is σ = 126337868143200. Its totient is φ = 11229755297792.

The previous prime is 42112102540423. The next prime is 42112102540447. The reversal of 42112102540440 is 4404520121124.

42112102540440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42112102540398 and 42112102540407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112102540447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7777354 + ... + 12029606.

Almost surely, 242112102540440 is an apocalyptic number.

42112102540440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42112102540440 is an abundant number, since it is smaller than the sum of its proper divisors (84225765602760).

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

42112102540440 is a wasteful number, since it uses less digits than its factorization.

42112102540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334796 (or 4334792 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 42112102540440 its reverse (4404520121124), we get a palindrome (46516622661564).

The spelling of 42112102540440 in words is "forty-two trillion, one hundred twelve billion, one hundred two million, five hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 82529 165058 247587 330116 412645 495174 660232 825290 990348 1237935 1650580 1980696 2475870 3301160 4252253 4951740 8504506 9903480 12756759 17009012 21261265 25513518 34018024 42522530 51027036 63783795 85045060 102054072 127567590 170090120 255135180 510270360 350934187837 701868375674 1052802563511 1403736751348 1754670939185 2105605127022 2807473502696 3509341878370 4211210254044 5264012817555 7018683756740 8422420508088 10528025635110 14037367513480 21056051270220 42112102540440