Search a number
-
+
13214067042 = 23112359147541
BaseRepresentation
bin11000100111001111…
…01010100101100010
31021002220121011020110
430103213222211202
5204030300121132
610023115152150
7645312500541
oct142347524542
937086534213
1013214067042
115670aa6170
122689445656
131327842aa7
148d4d70158
155251391cc
hex3139ea962

13214067042 has 64 divisors (see below), whose sum is σ = 30594309120. Its totient is φ = 3765220800.

The previous prime is 13214067029. The next prime is 13214067043. The reversal of 13214067042 is 24076041231.

13214067042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132140670422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214067043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15792 + ... + 163332.

It is an arithmetic number, because the mean of its divisors is an integer number (478036080).

Almost surely, 213214067042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214067042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297154560).

13214067042 is an abundant number, since it is smaller than the sum of its proper divisors (17380242078).

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

13214067042 is a wasteful number, since it uses less digits than its factorization.

13214067042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147639.

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 13214067042 in words is "thirteen billion, two hundred fourteen million, sixty-seven thousand, forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 138 177 253 354 506 649 759 1298 1357 1518 1947 2714 3894 4071 8142 14927 29854 44781 89562 147541 295082 442623 885246 1622951 3245902 3393443 4868853 6786886 8704919 9737706 10180329 17409838 20360658 26114757 37327873 52229514 74655746 95754109 111983619 191508218 200213137 223967238 287262327 400426274 574524654 600639411 1201278822 2202344507 4404689014 6607033521 13214067042