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40488990384 = 243312979049
BaseRepresentation
bin100101101101010101…
…001111011010110000
310212111202011211012110
4211231111033122300
51130410140143014
630333403325320
72632232511513
oct455525173260
9125452154173
1040488990384
1116197a85827
127a1b820840
133a8348139b
141d614d8d7a
1510be8c7d59
hex96d54f6b0

40488990384 has 120 divisors (see below), whose sum is σ = 109205770800. Its totient is φ = 12924887040.

The previous prime is 40488990301. The next prime is 40488990397. The reversal of 40488990384 is 48309988404.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 4469892 + ... + 4478940.

It is an arithmetic number, because the mean of its divisors is an integer number (910048090).

Almost surely, 240488990384 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 40488990384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54602885400).

40488990384 is an abundant number, since it is smaller than the sum of its proper divisors (68716780416).

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

40488990384 is a wasteful number, since it uses less digits than its factorization.

40488990384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 40488990384 in words is "forty billion, four hundred eighty-eight million, nine hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 186 194 248 291 372 388 496 582 744 776 961 1164 1488 1552 1922 2328 2883 3007 3844 4656 5766 6014 7688 9021 9049 11532 12028 15376 18042 18098 23064 24056 27147 36084 36196 46128 48112 54294 72168 72392 93217 108588 144336 144784 186434 217176 279651 280519 372868 434352 559302 561038 745736 841557 877753 1118604 1122076 1491472 1683114 1755506 2237208 2244152 2633259 3366228 3511012 4474416 4488304 5266518 6732456 7022024 8696089 10533036 13464912 14044048 17392178 21066072 26088267 27210343 34784356 42132144 52176534 54420686 69568712 81631029 104353068 108841372 139137424 163262058 208706136 217682744 326524116 417412272 435365488 653048232 843520633 1306096464 1687041266 2530561899 3374082532 5061123798 6748165064 10122247596 13496330128 20244495192 40488990384