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40442023000 = 2353103431911
BaseRepresentation
bin100101101010100010…
…000100110001011000
310212101110210122001201
4211222202010301120
51130311124214000
630325004523544
72631122344411
oct455242046130
9125343718051
1040442023000
1116173516505
127a07b505b4
133a76818432
141d59190808
1510ba6eb96a
hex96a884c58

40442023000 has 128 divisors (see below), whose sum is σ = 95879946240. Its totient is φ = 15965040000.

The previous prime is 40442022989. The next prime is 40442023019. The reversal of 40442023000 is 32024404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44392545 + ... + 44393455.

It is an arithmetic number, because the mean of its divisors is an integer number (749062080).

Almost surely, 240442023000 is an apocalyptic number.

40442023000 is a gapful number since it is divisible by the number (40) 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 40442023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47939973120).

40442023000 is an abundant number, since it is smaller than the sum of its proper divisors (55437923240).

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

40442023000 is a wasteful number, since it uses less digits than its factorization.

40442023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 40442023000 its reverse (32024404), we get a palindrome (40474047404).

The spelling of 40442023000 in words is "forty billion, four hundred forty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 200 206 250 412 431 500 515 824 862 911 1000 1030 1724 1822 2060 2155 2575 3448 3644 4120 4310 4555 5150 7288 8620 9110 10300 10775 12875 17240 18220 20600 21550 22775 25750 36440 43100 44393 45550 51500 53875 86200 88786 91100 93833 103000 107750 113875 177572 182200 187666 215500 221965 227750 355144 375332 392641 431000 443930 455500 469165 750664 785282 887860 911000 938330 1109825 1570564 1775720 1876660 1963205 2219650 2345825 3141128 3753320 3926410 4439300 4691650 5549125 7852820 8878600 9383300 9816025 11098250 11729125 15705640 18766600 19632050 22196500 23458250 39264100 40442023 44393000 46916500 49080125 78528200 80884046 93833000 98160250 161768092 196320500 202210115 323536184 392641000 404420230 808840460 1011050575 1617680920 2022101150 4044202300 5055252875 8088404600 10110505750 20221011500 40442023000