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40044441304 = 23721377391009
BaseRepresentation
bin100101010010110101…
…011010111011011000
310211100202200101111201
4211102311122323120
51124002334110204
630221323203544
72615224064200
oct452265327330
9124322611451
1040044441304
1115a8a05249a
1279169765b4
133a123427aa
141d1c459400
1510958649a4
hex952d5aed8

40044441304 has 96 divisors (see below), whose sum is σ = 88185726000. Its totient is φ = 16996718592.

The previous prime is 40044441299. The next prime is 40044441329. The reversal of 40044441304 is 40314444004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39686752 + ... + 39687760.

Almost surely, 240044441304 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 40044441304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44092863000).

40044441304 is an abundant number, since it is smaller than the sum of its proper divisors (48141284696).

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

40044441304 is a wasteful number, since it uses less digits than its factorization.

40044441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40044441304 its reverse (40314444004), we get a palindrome (80358885308).

The spelling of 40044441304 in words is "forty billion, forty-four million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 739 959 1009 1096 1478 1918 2018 2956 3836 4036 5173 5912 6713 7063 7672 8072 10346 13426 14126 20692 26852 28252 36211 41384 49441 53704 56504 72422 98882 101243 138233 144844 197764 202486 276466 289688 395528 404972 552932 708701 745651 809944 967631 1105864 1417402 1491302 1935262 2834804 2982604 3870524 4960907 5219557 5669608 5965208 6773417 7741048 9921814 10439114 13546834 19843628 20878228 27093668 36536899 39687256 41756456 54187336 73073798 102154187 146147596 204308374 292295192 408616748 715079309 817233496 1430158618 2860317236 5005555163 5720634472 10011110326 20022220652 40044441304