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42000555555 = 32572173473229
BaseRepresentation
bin100111000111011011…
…011001111000100011
311000102002110021210200
4213013123121320203
51142004120234210
631143401400243
73014545555200
oct470733317043
9130362407720
1042000555555
11168a3245042
128181a99083
133c6469274a
14206616cca7
15115c4590c0
hex9c76d9e23

42000555555 has 144 divisors (see below), whose sum is σ = 89954673120. Its totient is φ = 18013169664.

The previous prime is 42000555547. The next prime is 42000555577. The reversal of 42000555555 is 55555500024.

It is not a de Polignac number, because 42000555555 - 23 = 42000555547 is a prime.

42000555555 is a modest number, since divided by 555555 gives 42000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13005681 + ... + 13008909.

It is an arithmetic number, because the mean of its divisors is an integer number (624685230).

Almost surely, 242000555555 is an apocalyptic number.

42000555555 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42000555555 is an abundant number, since it is smaller than the sum of its proper divisors (47954117565).

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

42000555555 is a wasteful number, since it uses less digits than its factorization.

42000555555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 125000, while the sum is 36.

The spelling of 42000555555 in words is "forty-two billion, five hundred fifty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 347 357 441 595 735 765 833 1041 1071 1735 1785 2205 2429 2499 3123 3229 4165 5205 5355 5899 7287 7497 9687 12145 12495 15615 16145 17003 17697 21861 22603 29061 29495 36435 37485 41293 48435 51009 53091 54893 67809 85015 88485 109305 113015 123879 145305 153027 158221 164679 203427 206465 255045 265455 274465 289051 339045 371637 384251 474663 494037 619395 765135 791105 823395 867153 1017135 1120463 1152753 1423989 1445255 1858185 1921255 2373315 2470185 2601459 2689757 3361389 3458259 4335765 5602315 5763765 7119945 7843241 8069271 10084167 13007295 13448785 16806945 17291295 19047871 23529723 24207813 39216205 40346355 50420835 54902687 57143613 70589169 95239355 117648615 121039065 133335097 164708061 171430839 274513435 285718065 352945845 400005291 494124183 666675485 823540305 857154195 933345679 1200015873 2000026455 2470620915 2800037037 4666728395 6000079365 8400111111 14000185185 42000555555