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40043224440 = 23325317350887
BaseRepresentation
bin100101010010110000…
…110001110101111000
310211100200101120021200
4211102300301311320
51124002031140230
630221241134200
72615210535402
oct452260616570
9124320346250
1040043224440
1115a893a121a
12791648a360
133a1200795b
141d1c21db72
1510956c4160
hex952c31d78

40043224440 has 96 divisors (see below), whose sum is σ = 130551389280. Its totient is φ = 10644477696.

The previous prime is 40043224423. The next prime is 40043224513. The reversal of 40043224440 is 4442234004.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 61324 + ... + 289563.

It is an arithmetic number, because the mean of its divisors is an integer number (1359910305).

Almost surely, 240043224440 is an apocalyptic number.

40043224440 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 40043224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65275694640).

40043224440 is an abundant number, since it is smaller than the sum of its proper divisors (90508164840).

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

40043224440 is a wasteful number, since it uses less digits than its factorization.

40043224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351221 (or 351214 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 40043224440 its reverse (4442234004), we get a palindrome (44485458444).

The spelling of 40043224440 in words is "forty billion, forty-three million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 317 360 634 951 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 9510 11412 12680 14265 19020 22824 28530 38040 57060 114120 350887 701774 1052661 1403548 1754435 2105322 2807096 3157983 3508870 4210644 5263305 6315966 7017740 8421288 10526610 12631932 14035480 15789915 21053220 25263864 31579830 42106440 63159660 111231179 126319320 222462358 333693537 444924716 556155895 667387074 889849432 1001080611 1112311790 1334774148 1668467685 2002161222 2224623580 2669548296 3336935370 4004322444 4449247160 5005403055 6673870740 8008644888 10010806110 13347741480 20021612220 40043224440