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132214427744 = 2573722411789
BaseRepresentation
bin111101100100010011…
…0000001000001100000
3110122021020202211102012
41323020212001001200
54131233343141434
6140423302012052
712360253043630
oct1731046010140
9418236684365
10132214427744
1151087663503
122175a417028
13c6108b81c9
1465836206c0
15368c4803ce
hex1ec8981060

132214427744 has 144 divisors (see below), whose sum is σ = 307180067040. Its totient is φ = 54872432640.

The previous prime is 132214427701. The next prime is 132214427749. The reversal of 132214427744 is 447724412231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132214427749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73903202 + ... + 73904990.

It is an arithmetic number, because the mean of its divisors is an integer number (2133194910).

Almost surely, 2132214427744 is an apocalyptic number.

132214427744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132214427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153590033520).

132214427744 is an abundant number, since it is smaller than the sum of its proper divisors (174965639296).

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

132214427744 is a wasteful number, since it uses less digits than its factorization.

132214427744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2076 counting only the distinct ones).

The product of its digits is 301056, while the sum is 41.

Adding to 132214427744 its reverse (447724412231), we get a palindrome (579938839975).

The spelling of 132214427744 in words is "one hundred thirty-two billion, two hundred fourteen million, four hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 241 259 296 482 518 592 964 1036 1184 1369 1687 1789 1928 2072 2738 3374 3578 3856 4144 5476 6748 7156 7712 8288 8917 9583 10952 12523 13496 14312 17834 19166 21904 25046 26992 28624 35668 38332 43808 50092 53984 57248 62419 66193 71336 76664 100184 124838 132386 142672 153328 200368 249676 264772 285344 306656 329929 400736 431149 463351 499352 529544 659858 862298 926702 998704 1059088 1319716 1724596 1853404 1997408 2118176 2309503 2449141 2639432 3018043 3449192 3706808 4619006 4898282 5278864 6036086 6898384 7413616 9238012 9796564 10557728 12072172 13796768 14827232 15952513 17143987 18476024 19593128 24144344 31905026 34287974 36952048 39186256 48288688 63810052 68575948 73904096 78372512 96577376 111667591 127620104 137151896 223335182 255240208 274303792 446670364 510480416 548607584 590242981 893340728 1180485962 1786681456 2360971924 3573362912 4131700867 4721943848 8263401734 9443887696 16526803468 18887775392 33053606936 66107213872 132214427744