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40444020020 = 22529972113407
BaseRepresentation
bin100101101010101001…
…101100010100110100
310212101121120002110102
4211222221230110310
51130312132120040
630325115413232
72631145332545
oct455251542464
9125347502412
1040444020020
111617465a938
127a08754218
133a770673c1
141d595504cc
1510ba993515
hex96aa6c534

40444020020 has 96 divisors (see below), whose sum is σ = 89213806080. Its totient is φ = 15380951040.

The previous prime is 40444020013. The next prime is 40444020037. The reversal of 40444020020 is 2002044404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40444019974 and 40444020001.

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 31 ways as a sum of consecutive naturals, for example, 11869157 + ... + 11872563.

It is an arithmetic number, because the mean of its divisors is an integer number (929310480).

Almost surely, 240444020020 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 40444020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44606903040).

40444020020 is an abundant number, since it is smaller than the sum of its proper divisors (48769786060).

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

40444020020 is a wasteful number, since it uses less digits than its factorization.

40444020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40444020020 its reverse (2002044404), we get a palindrome (42446064424).

The spelling of 40444020020 in words is "forty billion, four hundred forty-four million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 97 116 145 194 211 290 388 422 485 580 844 970 1055 1940 2110 2813 3407 4220 5626 6119 6814 11252 12238 13628 14065 17035 20467 24476 28130 30595 34070 40934 56260 61190 68140 81868 98803 102335 122380 197606 204670 330479 395212 409340 494015 593543 660958 718877 988030 1187086 1321916 1437754 1652395 1976060 2374172 2875508 2967715 3304790 3594385 5935430 6609580 7188770 9583891 11870860 14377540 19167782 20847433 38335564 41694866 47919455 69731069 83389732 95838910 104237165 139462138 191677820 208474330 278924276 348655345 416948660 697310690 1394621380 2022201001 4044402002 8088804004 10111005005 20222010010 40444020020