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12404132244 = 2232729772493
BaseRepresentation
bin10111000110101100…
…00000100110010100
31012000110120012120100
423203112000212110
5200400424212434
65410503334100
7616246245600
oct134326004624
935013505510
1012404132244
11529589a169
1224a2151330
131228ac1c2a
1485957a500
154c8e9d699
hex2e3580994

12404132244 has 108 divisors (see below), whose sum is σ = 36850585044. Its totient is φ = 3507452928.

The previous prime is 12404132239. The next prime is 12404132287. The reversal of 12404132244 is 44223140421.

12404132244 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 413 + 2 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7155129744 + 5249002500 = 84588^2 + 72450^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134862 + ... + 207354.

Almost surely, 212404132244 is an apocalyptic number.

12404132244 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 12404132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425292522).

12404132244 is an abundant number, since it is smaller than the sum of its proper divisors (24446452800).

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

12404132244 is a wasteful number, since it uses less digits than its factorization.

12404132244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72614 (or 72602 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12404132244 its reverse (44223140421), we get a palindrome (56627272665).

The spelling of 12404132244 in words is "twelve billion, four hundred four million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 2037 2716 3492 4074 4753 6111 8148 9506 12222 14259 19012 24444 28518 42777 57036 72493 85554 144986 171108 217479 289972 434958 507451 652437 869916 1014902 1304874 1522353 2029804 2609748 3044706 3552157 4567059 6089412 7031821 7104314 9134118 10656471 14063642 14208628 18268236 21095463 21312942 28127284 31969413 42190926 42625884 49222747 63286389 63938826 84381852 98445494 126572778 127877652 147668241 196890988 253145556 295336482 344559229 443004723 590672964 689118458 886009446 1033677687 1378236916 1772018892 2067355374 3101033061 4134710748 6202066122 12404132244