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42107998185 = 32511237474447
BaseRepresentation
bin100111001101110101…
…010000111111101001
311000200120121221101100
4213031311100333221
51142214121420220
631202200312013
73020322036051
oct471565207751
9130616557340
1042107998185
111694895a300
1281b1a72609
133c80a10a76
14207653a561
151166acdd90
hex9cdd50fe9

42107998185 has 144 divisors (see below), whose sum is σ = 84165838848. Its totient is φ = 19437200640.

The previous prime is 42107998183. The next prime is 42107998223. The reversal of 42107998185 is 58189970124.

It is a happy number.

It is not a de Polignac number, because 42107998185 - 21 = 42107998183 is a prime.

It is a super-2 number, since 2×421079981852 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42107998183) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9466632 + ... + 9471078.

It is an arithmetic number, because the mean of its divisors is an integer number (584484992).

Almost surely, 242107998185 is an apocalyptic number.

42107998185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42107998185 is a deficient number, since it is larger than the sum of its proper divisors (42057840663).

42107998185 is a wasteful number, since it uses less digits than its factorization.

42107998185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564 (or 4550 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 42107998185 in words is "forty-two billion, one hundred seven million, nine hundred ninety-eight thousand, one hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 37 45 47 55 99 111 121 141 165 185 235 333 363 407 423 495 517 555 605 705 1089 1221 1551 1665 1739 1815 2035 2115 2585 3663 4447 4477 4653 5217 5445 5687 6105 7755 8695 13341 13431 15651 17061 18315 19129 22235 22385 23265 26085 28435 40023 40293 48917 51183 57387 66705 67155 78255 85305 95645 146751 164539 172161 200115 201465 209009 210419 244585 255915 286935 440253 493617 538087 627027 631257 733755 822695 860805 1045045 1052095 1480851 1614261 1809929 1881081 1893771 2201265 2299099 2468085 2690435 3135135 3156285 4842783 5429787 6897297 7404255 7733333 8071305 9049645 9405405 9468855 11495495 16289361 19909219 20691891 23199999 24213915 25290089 27148935 34486485 38666665 59727657 69599997 75870267 81446805 85066663 99546095 103459455 115999995 126450445 179182971 227610801 255199989 298638285 347999985 379351335 425333315 765599967 895914855 935733293 1138054005 1275999945 2807199879 3827999835 4678666465 8421599637 14035999395 42107998185