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3144212214 = 23111321012791
BaseRepresentation
bin1011101101101000…
…1101111011110110
322010010101112022020
42323122031323312
522414404242324
61235555214010
7140626235313
oct27332157366
98103345266
103144212214
11137390a1a0
12738ba7306
133b1537c00
1421b825d0a
1513607d679
hexbb68def6

3144212214 has 96 divisors (see below), whose sum is σ = 7504627968. Its totient is φ = 870480000.

The previous prime is 3144212213. The next prime is 3144212221. The reversal of 3144212214 is 4122124413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144212213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125159 + ... + 1127949.

It is an arithmetic number, because the mean of its divisors is an integer number (78173208).

Almost surely, 23144212214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144212214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752313984).

3144212214 is an abundant number, since it is smaller than the sum of its proper divisors (4360415754).

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

3144212214 is a wasteful number, since it uses less digits than its factorization.

3144212214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2921 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3144212214 is about 56073.2753992488. The cubic root of 3144212214 is about 1464.9988489859.

Adding to 3144212214 its reverse (4122124413), we get a palindrome (7266336627).

The spelling of 3144212214 in words is "three billion, one hundred forty-four million, two hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 169 202 286 303 338 429 507 606 858 1014 1111 1313 1859 2222 2626 2791 3333 3718 3939 5577 5582 6666 7878 8373 11154 14443 16746 17069 28886 30701 34138 36283 43329 51207 61402 72566 86658 92103 102414 108849 184206 187759 217698 281891 375518 399113 471679 563277 563782 798226 845673 943358 1126554 1197339 1415037 1691346 2394678 2830074 3100801 3664583 5188469 6201602 7329166 9302403 10376938 10993749 15565407 18604806 21987498 31130814 40310413 47639579 80620826 95279158 120931239 142918737 241862478 285837474 524035369 1048070738 1572106107 3144212214