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40432220444 = 227211235031621
BaseRepresentation
bin100101101001111100…
…101011100100011100
310212100210100121111002
4211221330223210130
51130301122023234
630324014445432
72630643126500
oct455174534434
9125323317432
1040432220444
1116168a30720
127a04803878
133a747956c5
141d57b5c300
1510b991227e
hex969f2b91c

40432220444 has 144 divisors (see below), whose sum is σ = 93939181056. Its totient is φ = 15028675200.

The previous prime is 40432220443. The next prime is 40432220447. The reversal of 40432220444 is 44402223404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40432220443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24941954 + ... + 24943574.

It is an arithmetic number, because the mean of its divisors is an integer number (652355424).

Almost surely, 240432220444 is an apocalyptic number.

40432220444 is a gapful number since it is divisible by the number (44) 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 40432220444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46969590528).

40432220444 is an abundant number, since it is smaller than the sum of its proper divisors (53506960612).

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

40432220444 is a wasteful number, since it uses less digits than its factorization.

40432220444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 40432220444 its reverse (44402223404), we get a palindrome (84834443848).

The spelling of 40432220444 in words is "forty billion, four hundred thirty-two million, two hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 503 506 539 644 1006 1012 1078 1127 1621 1771 2012 2156 2254 3242 3521 3542 4508 5533 6484 7042 7084 11066 11347 11569 12397 14084 17831 22132 22694 23138 24647 24794 35662 37283 38731 45388 46276 49294 49588 71324 74566 77462 79429 80983 98588 124817 127259 149132 154924 158858 161966 249634 254518 260981 271117 317716 323932 410113 499268 509036 521962 542234 566881 815363 820226 873719 890813 1043924 1084468 1133762 1630726 1640452 1747438 1781626 1826867 2267524 2870791 3261452 3494876 3563252 3653734 5707541 5741582 6235691 7307468 8968993 11415082 11483164 12471382 17937986 18753349 20095537 22830164 24942764 35875972 37506698 39952787 40191074 62782951 75013396 79905574 80382148 125565902 131273443 159811148 206286839 251131804 262546886 412573678 439480657 525093772 825147356 878961314 918914101 1444007873 1757922628 1837828202 2888015746 3675656404 5776031492 10108055111 20216110222 40432220444