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240013220340 = 223519734615867
BaseRepresentation
bin1101111110000111100…
…1110001100111110100
3211221111221012212220010
43133201321301213310
512413021341022330
6302132140140220
723224515466035
oct3374171614764
9757457185803
10240013220340
1192875229943
123a623b37670
131983005000a
14b88c330a8c
15639b1bd3b0
hex37e1e719f4

240013220340 has 96 divisors (see below), whose sum is σ = 675758692224. Its totient is φ = 63649384960.

The previous prime is 240013220323. The next prime is 240013220351. The reversal of 240013220340 is 43022310042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40906087 + ... + 40911953.

It is an arithmetic number, because the mean of its divisors is an integer number (7039153044).

Almost surely, 2240013220340 is an apocalyptic number.

240013220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240013220340 is an abundant number, since it is smaller than the sum of its proper divisors (435745471884).

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

240013220340 is a wasteful number, since it uses less digits than its factorization.

240013220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9537 (or 9535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 240013220340 its reverse (43022310042), we get a palindrome (283035530382).

The spelling of 240013220340 in words is "two hundred forty billion, thirteen million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 788 985 1182 1970 2364 2955 3461 3940 5867 5910 6922 10383 11734 11820 13844 17305 17601 20766 23468 29335 34610 35202 41532 51915 58670 69220 70404 88005 103830 117340 176010 207660 352020 681817 1155799 1363634 2045451 2311598 2727268 3409085 3467397 4090902 4623196 5778995 6818170 6934794 8181804 10227255 11557990 13636340 13869588 17336985 20305687 20454510 23115980 34673970 40611374 40909020 60917061 69347940 81222748 101528435 121834122 203056870 243668244 304585305 406113740 609170610 1218341220 4000220339 8000440678 12000661017 16000881356 20001101695 24001322034 40002203390 48002644068 60003305085 80004406780 120006610170 240013220340