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240022000040 = 235103383315199
BaseRepresentation
bin1101111110001001101…
…1010001000110101000
3211221112112201221101012
43133202123101012220
512413031113000130
6302133052243052
723224653223604
oct3374233210650
9757475657335
10240022000040
119287a186199
123a626a70488
1319831b052c4
14b88d578504
15639bd54995
hex37e26d11a8

240022000040 has 64 divisors (see below), whose sum is σ = 545470848000. Its totient is φ = 95045617152.

The previous prime is 240022000021. The next prime is 240022000051. The reversal of 240022000040 is 40000220042.

It is a happy number.

240022000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400220000402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240021999979 and 240022000024.

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 15 ways as a sum of consecutive naturals, for example, 15784361 + ... + 15799559.

It is an arithmetic number, because the mean of its divisors is an integer number (8522982000).

Almost surely, 2240022000040 is an apocalyptic number.

240022000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240022000040 is an abundant number, since it is smaller than the sum of its proper divisors (305448847960).

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

240022000040 is a wasteful number, since it uses less digits than its factorization.

240022000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19146 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 240022000040 its reverse (40000220042), we get a palindrome (280022220082).

The spelling of 240022000040 in words is "two hundred forty billion, twenty-two million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 3833 4120 7666 15199 15332 19165 30398 30664 38330 60796 75995 76660 121592 151990 153320 303980 394799 607960 789598 1565497 1579196 1973995 3130994 3158392 3947990 6261988 7827485 7895980 12523976 15654970 15791960 31309940 58257767 62619880 116515534 233031068 291288835 466062136 582577670 1165155340 2330310680 6000550001 12001100002 24002200004 30002750005 48004400008 60005500010 120011000020 240022000040