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40042004044440 = 23352230071496291
BaseRepresentation
bin10010001101011000000010…
…11011010101101010011000
312020202222102002221112222010
421012230001123111222120
520222022011013410230
6221055013120425520
711301640121402466
oct1106540133255230
9166688362845863
1040042004044440
111183879a432392
1245a84aa1782a0
131945c388ac228
149c6086cb5836
154968b76149b0
hex246b016d5a98

40042004044440 has 64 divisors (see below), whose sum is σ = 120126631080960. Its totient is φ = 10677812727680.

The previous prime is 40042004044433. The next prime is 40042004044517. The reversal of 40042004044440 is 4444040024004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40042004044398 and 40042004044407.

It is a congruent number.

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, 26012695 + ... + 27508985.

It is an arithmetic number, because the mean of its divisors is an integer number (1876978610640).

Almost surely, 240042004044440 is an apocalyptic number.

40042004044440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40042004044440 is an abundant number, since it is smaller than the sum of its proper divisors (80084627036520).

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

40042004044440 is a wasteful number, since it uses less digits than its factorization.

40042004044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719312 (or 1719308 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 40042004044440 its reverse (4444040024004), we get a palindrome (44486044068444).

The spelling of 40042004044440 in words is "forty trillion, forty-two billion, four million, forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223007 446014 669021 892028 1115035 1338042 1496291 1784056 2230070 2676084 2992582 3345105 4460140 4488873 5352168 5985164 6690210 7481455 8920280 8977746 11970328 13380420 14962910 17955492 22444365 26760840 29925820 35910984 44888730 59851640 89777460 179554920 333683367037 667366734074 1001050101111 1334733468148 1668416835185 2002100202222 2669466936296 3336833670370 4004200404444 5005250505555 6673667340740 8008400808888 10010501011110 13347334681480 20021002022220 40042004044440