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40444242224 = 24174711327997
BaseRepresentation
bin100101101010101010…
…100010100100110000
310212101121222101021012
4211222222202210300
51130312211222344
630325124250052
72631150246431
oct455252424460
9125347871235
1040444242224
11161747a1881
127a08840928
133a77114599
141d595ab488
1510ba9d929e
hex96aaa2930

40444242224 has 80 divisors (see below), whose sum is σ = 85488421248. Its totient is φ = 18462130176.

The previous prime is 40444242217. The next prime is 40444242259. The reversal of 40444242224 is 42224244404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1430594 + ... + 1458590.

Almost surely, 240444242224 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 40444242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744210624).

40444242224 is an abundant number, since it is smaller than the sum of its proper divisors (45044179024).

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

40444242224 is a wasteful number, since it uses less digits than its factorization.

40444242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28182 (or 28176 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 40444242224 its reverse (42224244404), we get a palindrome (82668486628).

The spelling of 40444242224 in words is "forty billion, four hundred forty-four million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 47 68 94 113 136 188 226 272 376 452 752 799 904 1598 1808 1921 3196 3842 5311 6392 7684 10622 12784 15368 21244 27997 30736 42488 55994 84976 90287 111988 180574 223976 361148 447952 475949 722296 951898 1315859 1444592 1903796 2631718 3163661 3807592 5263436 6327322 7615184 10526872 12654644 21053744 22369603 25309288 44739206 50618576 53782237 89478412 107564474 148692067 178956824 215128948 297384134 357913648 430257896 594768268 860515792 1189536536 2379073072 2527765139 5055530278 10111060556 20222121112 40444242224