Search a number
-
+
31514016520602 = 232721115971203381
BaseRepresentation
bin1110010101001011011011…
…10000101001100110011010
311010120201011222212220210100
413022211231300221212122
513112311201212124402
6151005201143400230
76431545464441300
oct712455560514632
9133521158786710
1031514016520602
11a050023836870
12364b764453076
1314779b36ca215
147ad402390270
15399b4296b71c
hex1ca96dc2999a

31514016520602 has 144 divisors (see below), whose sum is σ = 86654780001504. Its totient is φ = 8184906072000.

The previous prime is 31514016520583. The next prime is 31514016520619. The reversal of 31514016520602 is 20602561041513.

31514016520602 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 40 + 1 + 6 + 5 + 2 + 0 + 602 = 666.

It is a super-3 number, since 3×315140165206023 (a number of 41 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 154848952 + ... + 155052332.

It is an arithmetic number, because the mean of its divisors is an integer number (601769305566).

Almost surely, 231514016520602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31514016520602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43327390000752).

31514016520602 is an abundant number, since it is smaller than the sum of its proper divisors (55140763480902).

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

31514016520602 is a wasteful number, since it uses less digits than its factorization.

31514016520602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219385 (or 219375 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 31514016520602 in words is "thirty-one trillion, five hundred fourteen billion, sixteen million, five hundred twenty thousand, six hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 15971 31942 47913 95826 111797 143739 175681 203381 223594 287478 335391 351362 406762 527043 610143 670782 782579 1006173 1054086 1220286 1229767 1423667 1565158 1581129 1830429 2012346 2237191 2347737 2459534 2847334 3162258 3660858 3689301 4271001 4474382 4695474 6711573 7043211 7378602 8542002 8608369 9965669 11067903 12813003 13423146 14086422 15660337 17216738 19931338 20134719 22135806 25626006 25825107 29897007 31320674 40269438 46981011 51650214 59794014 77475321 89691021 93962022 109622359 140943033 154950642 179382042 219244718 281886066 328867077 657734154 986601231 1973202462 3248197951 6496395902 9744593853 19489187706 22737385657 29233781559 35730177461 45474771314 58467563118 68212156971 71460354922 107190532383 136424313942 159161699599 204636470913 214381064766 250111242227 318323399198 321571597149 409272941826 477485098797 500222484454 643143194298 750333726681 954970197594 1432455296391 1500667453362 1750778695589 2251001180043 2864910592782 3501557391178 4502002360086 5252336086767 10504672173534 15757008260301 31514016520602