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40444140 = 223511233263
BaseRepresentation
bin1001101001001…
…0000011101100
32211002202221010
42122102003230
540323203030
64002505220
71000524642
oct232220354
984082833
1040444140
1120914310
1211665210
1384c0a59
14552b192
15383d6b0
hex26920ec

40444140 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 9725440.

The previous prime is 40444127. The next prime is 40444147. The reversal of 40444140 is 4144404.

It is not an unprimeable number, because it can be changed into a prime (40444147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153649 + ... + 153911.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 240444140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40444140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

40444140 is an abundant number, since it is smaller than the sum of its proper divisors (84096276).

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

40444140 is a wasteful number, since it uses less digits than its factorization.

40444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 40444140 is about 6359.5707402308. The cubic root of 40444140 is about 343.2563143500.

Adding to 40444140 its reverse (4144404), we get a palindrome (44588544).

It can be divided in two parts, 404 and 44140, that added together give a palindrome (44544).

The spelling of 40444140 in words is "forty million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 233 263 330 466 526 660 699 789 932 1052 1165 1315 1398 1578 2330 2563 2630 2796 2893 3156 3495 3945 4660 5126 5260 5786 6990 7689 7890 8679 10252 11572 12815 13980 14465 15378 15780 17358 25630 28930 30756 34716 38445 43395 51260 57860 61279 76890 86790 122558 153780 173580 183837 245116 306395 367674 612790 674069 735348 919185 1225580 1348138 1838370 2022207 2696276 3370345 3676740 4044414 6740690 8088828 10111035 13481380 20222070 40444140