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1440012132 = 22321317473851
BaseRepresentation
bin101010111010100…
…1101011101100100
310201100122012021200
41111311031131210
510422120342012
6354520242500
750453621046
oct12565153544
93640565250
101440012132
11679938479
12342310430
1319c44a9b0
14d9369a96
158664a3dc
hex55d4d764

1440012132 has 144 divisors (see below), whose sum is σ = 4240035072. Its totient is φ = 408038400.

The previous prime is 1440012107. The next prime is 1440012151. The reversal of 1440012132 is 2312100441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 372007 + ... + 375857.

It is an arithmetic number, because the mean of its divisors is an integer number (29444688).

Almost surely, 21440012132 is an apocalyptic number.

1440012132 is a gapful number since it is divisible by the number (12) 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 1440012132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120017536).

1440012132 is an abundant number, since it is smaller than the sum of its proper divisors (2800022940).

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

1440012132 is a wasteful number, since it uses less digits than its factorization.

1440012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1440012132 is about 37947.4917748196. The cubic root of 1440012132 is about 1129.2464059397.

Adding to 1440012132 its reverse (2312100441), we get a palindrome (3752112573).

The spelling of 1440012132 in words is "one billion, four hundred forty million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 47 51 52 68 78 94 102 117 141 153 156 188 204 221 234 282 306 423 442 468 564 611 612 663 799 846 884 1222 1326 1598 1692 1833 1989 2397 2444 2652 3196 3666 3851 3978 4794 5499 7191 7332 7702 7956 9588 10387 10998 11553 14382 15404 20774 21996 23106 28764 31161 34659 41548 46212 50063 62322 65467 69318 93483 100126 124644 130934 138636 150189 180997 186966 196401 200252 261868 300378 361994 373932 392802 450567 542991 589203 600756 723988 785604 851071 901134 1085982 1178406 1628973 1702142 1802268 2171964 2352961 2356812 2553213 3076949 3257946 3404284 4705922 5106426 6153898 6515892 7058883 7659639 9230847 9411844 10212852 12307796 14117766 15319278 18461694 21176649 27692541 28235532 30638556 36923388 40000337 42353298 55385082 80000674 84706596 110770164 120001011 160001348 240002022 360003033 480004044 720006066 1440012132