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4072138122 = 2313417317443
BaseRepresentation
bin1111001010110111…
…1110010110001010
3101111210110001100110
43302231332112022
531314431404442
61512024015150
7202624413543
oct36255762612
911453401313
104072138122
1117aa685708
129579014b6
134cb85b4b0
142a8b714ca
1518c77469c
hexf2b7e58a

4072138122 has 64 divisors (see below), whose sum is σ = 9108279936. Its totient is φ = 1205591040.

The previous prime is 4072138117. The next prime is 4072138123. The reversal of 4072138122 is 2218312704.

It is a self number, because there is not a number n which added to its sum of digits gives 4072138122.

It is not an unprimeable number, because it can be changed into a prime (4072138123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 224733 + ... + 242175.

It is an arithmetic number, because the mean of its divisors is an integer number (142316874).

Almost surely, 24072138122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072138122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554139968).

4072138122 is an abundant number, since it is smaller than the sum of its proper divisors (5036141814).

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

4072138122 is a wasteful number, since it uses less digits than its factorization.

4072138122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17575.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4072138122 is about 63813.3067784455. The cubic root of 4072138122 is about 1596.8869315668.

The spelling of 4072138122 in words is "four billion, seventy-two million, one hundred thirty-eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 73 78 82 123 146 219 246 438 533 949 1066 1599 1898 2847 2993 3198 5694 5986 8979 17443 17958 34886 38909 52329 77818 104658 116727 226759 233454 453518 680277 715163 1273339 1360554 1430326 2145489 2546678 3820017 4290978 7640034 9297119 16553407 18594238 27891357 33106814 49660221 52206899 55782714 99320442 104413798 156620697 313241394 678689687 1357379374 2036069061 4072138122