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4144513212 = 2232720697949
BaseRepresentation
bin1111011100001000…
…0100000010111100
3101200211122002022100
43313002010002330
531441443410322
61523131145100
7204463531620
oct36702040274
911624562270
104144513212
111837519134
12977ba5190
1351084c0a8
142b4611180
15193cbddac
hexf70840bc

4144513212 has 72 divisors (see below), whose sum is σ = 11980332000. Its totient is φ = 1183425408.

The previous prime is 4144513211. The next prime is 4144513223. The reversal of 4144513212 is 2123154414.

4144513212 is a `hidden beast` number, since 4 + 1 + 445 + 1 + 3 + 212 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144513211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517414 + ... + 525362.

It is an arithmetic number, because the mean of its divisors is an integer number (166393500).

Almost surely, 24144513212 is an apocalyptic number.

4144513212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4144513212 is an abundant number, since it is smaller than the sum of its proper divisors (7835818788).

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

4144513212 is a wasteful number, since it uses less digits than its factorization.

4144513212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10035 (or 10030 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4144513212 is about 64377.8938145696. The cubic root of 4144513212 is about 1606.2920483736.

Adding to 4144513212 its reverse (2123154414), we get a palindrome (6267667626).

The spelling of 4144513212 in words is "four billion, one hundred forty-four million, five hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2069 4138 6207 7949 8276 12414 14483 15898 18621 23847 24828 28966 31796 37242 43449 47694 55643 57932 71541 74484 86898 95388 111286 130347 143082 166929 173796 222572 260694 286164 333858 500787 521388 667716 1001574 2003148 16446481 32892962 49339443 65785924 98678886 115125367 148018329 197357772 230250734 296036658 345376101 460501468 592073316 690752202 1036128303 1381504404 2072256606 4144513212