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3431144442 = 23111714272143
BaseRepresentation
bin1100110010000011…
…0001101111111010
322212010022012022210
43030200301233322
524011333110232
61324245155550
7151012150365
oct31440615772
98763265283
103431144442
111500878670
127b90bbbb6
13428b0b9ab
142479970dc
1515135a5cc
hexcc831bfa

3431144442 has 64 divisors (see below), whose sum is σ = 7935750144. Its totient is φ = 977437440.

The previous prime is 3431144429. The next prime is 3431144443. The reversal of 3431144442 is 2444411343.

It is not an unprimeable number, because it can be changed into a prime (3431144443) 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, 1600023 + ... + 1602165.

It is an arithmetic number, because the mean of its divisors is an integer number (123996096).

Almost surely, 23431144442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431144442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967875072).

3431144442 is an abundant number, since it is smaller than the sum of its proper divisors (4504605702).

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

3431144442 is a wasteful number, since it uses less digits than its factorization.

3431144442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603.

The product of its digits is 18432, while the sum is 30.

The square root of 3431144442 is about 58575.9715412386. The cubic root of 3431144442 is about 1508.2719940000.

Adding to 3431144442 its reverse (2444411343), we get a palindrome (5875555785).

The spelling of 3431144442 in words is "three billion, four hundred thirty-one million, one hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1427 2143 2854 4281 4286 6429 8562 12858 15697 23573 24259 31394 36431 47091 47146 48518 70719 72777 72862 94182 109293 141438 145554 218586 266849 400741 533698 800547 801482 1202223 1601094 2404446 3058061 6116122 9174183 18348366 33638671 51987037 67277342 100916013 103974074 155961111 201832026 311922222 571857407 1143714814 1715572221 3431144442