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40024443004032 = 273330731518089
BaseRepresentation
bin10010001100110111010101…
…01101010010010010000000
312020201022002020202021022010
421012123222231102102000
520221230024402112112
6221042550354412520
711300446003125114
oct1106335255222200
9166638066667263
1040024443004032
11118312a8705853
1245a5008b91140
13194439a5b1366
149c529c8b1744
154961daa6863c
hex2466eab52480

40024443004032 has 64 divisors (see below), whose sum is σ = 106347078554400. Its totient is φ = 13337446262784.

The previous prime is 40024443004003. The next prime is 40024443004061. The reversal of 40024443004032 is 23040034442004.

It is an interprime number because it is at equal distance from previous prime (40024443004003) and next prime (40024443004061).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×400244430040322 (a number of 28 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14489157 + ... + 17028932.

Almost surely, 240024443004032 is an apocalyptic number.

It is an amenable number.

40024443004032 is an abundant number, since it is smaller than the sum of its proper divisors (66322635550368).

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

40024443004032 is a wasteful number, since it uses less digits than its factorization.

40024443004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31521413 (or 31521401 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 40024443004032 its reverse (23040034442004), we get a palindrome (63064477446036).

The spelling of 40024443004032 in words is "forty trillion, twenty-four billion, four hundred forty-three million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 3307 6614 9921 13228 19842 26456 39684 52912 79368 105824 158736 211648 317472 423296 634944 1269888 31518089 63036178 94554267 126072356 189108534 252144712 378217068 504289424 756434136 1008578848 1512868272 2017157696 3025736544 4034315392 6051473088 12102946176 104230320323 208460640646 312690960969 416921281292 625381921938 833842562584 1250763843876 1667685125168 2501527687752 3335370250336 5003055375504 6670740500672 10006110751008 13341481001344 20012221502016 40024443004032