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1004422442034 = 2311231451456013
BaseRepresentation
bin11101001110111000011…
…11100010110000110010
310120000120221000202110110
432213130033202300302
5112424024121121114
62045231510442150
7132365344614024
oct16473417426062
93500527022413
101004422442034
11357a78313070
121427b7063356
137394158864b
1436885924014
151b1d9b34759
hexe9dc3e2c32

1004422442034 has 64 divisors (see below), whose sum is σ = 2288329325568. Its totient is φ = 290935656000.

The previous prime is 1004422442027. The next prime is 1004422442039. The reversal of 1004422442034 is 4302442244001.

It is a junction number, because it is equal to n+sod(n) for n = 1004422441992 and 1004422442010.

It is not an unprimeable number, because it can be changed into a prime (1004422442039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974612 + ... + 2430624.

It is an arithmetic number, because the mean of its divisors is an integer number (35755145712).

Almost surely, 21004422442034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004422442034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144164662784).

1004422442034 is an abundant number, since it is smaller than the sum of its proper divisors (1283906883534).

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

1004422442034 is a wasteful number, since it uses less digits than its factorization.

1004422442034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457503.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 1004422442034 its reverse (4302442244001), we get a palindrome (5306864686035).

The spelling of 1004422442034 in words is "one trillion, four billion, four hundred twenty-two million, four hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1451 1518 2902 4353 8706 15961 31922 33373 47883 66746 95766 100119 200238 367103 456013 734206 912026 1101309 1368039 2202618 2736078 5016143 10032286 10488299 15048429 20976598 30096858 31464897 62929794 115371289 230742578 346113867 661674863 692227734 1323349726 1985024589 3970049178 7278423493 14556846986 15218521849 21835270479 30437043698 43670540958 45655565547 91311131094 167403740339 334807480678 502211221017 1004422442034