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42003355330024 = 2311716722688113
BaseRepresentation
bin10011000110011101010110…
…00100101110010111101000
312111201111000001102021202221
421203032223010232113220
521001140332431030044
6225200024113403424
711563433205301054
oct1143165304562750
9174644001367687
1042003355330024
1112424583070a80
124864646869574
131a58b900145ca
14a52d8a828c64
154cc90c57b484
hex2633ab12e5e8

42003355330024 has 32 divisors (see below), whose sum is σ = 87126037957440. Its totient is φ = 18823526713600.

The previous prime is 42003355329983. The next prime is 42003355330049.

42003355330024 is nontrivially palindromic in base 10.

42003355330024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3361337809 + ... + 3361350304.

It is an arithmetic number, because the mean of its divisors is an integer number (2722688686170).

Almost surely, 242003355330024 is an apocalyptic number.

42003355330024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42003355330024 is an abundant number, since it is smaller than the sum of its proper divisors (45122682627416).

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

42003355330024 is a wasteful number, since it uses less digits than its factorization.

42003355330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722688201 (or 6722688197 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

It can be divided in two parts, 4200335 and 5330024, that added together give a palindrome (9530359).

The spelling of 42003355330024 in words is "forty-two trillion, three billion, three hundred fifty-five million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 6722688113 13445376226 26890752452 53781504904 73949569243 147899138486 295798276972 477310856023 591596553944 954621712046 1909243424092 3818486848184 5250419416253 10500838832506 21001677665012 42003355330024