Search a number
-
+
3333005342112 = 253235925584971
BaseRepresentation
bin110000100000000110100…
…110010111010110100000
3102210122001212120101220110
4300200012212113112200
5414101443331421422
611031054515411320
7462541656650565
oct60400646272640
912718055511813
103333005342112
111075579696016
12459b608b3b40
131b23bb558834
14b746567a86c
155ba747c860c
hex308069975a0

3333005342112 has 96 divisors (see below), whose sum is σ = 9284274639360. Its totient is φ = 1044685495040.

The previous prime is 3333005342099. The next prime is 3333005342167. The reversal of 3333005342112 is 2112435003333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33330053421122 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3333005342112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12662214 + ... + 12922757.

It is an arithmetic number, because the mean of its divisors is an integer number (96711194160).

Almost surely, 23333005342112 is an apocalyptic number.

3333005342112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3333005342112 is an abundant number, since it is smaller than the sum of its proper divisors (5951269297248).

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

3333005342112 is a wasteful number, since it uses less digits than its factorization.

3333005342112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25585066 (or 25585058 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 3333005342112 in words is "three trillion, three hundred thirty-three billion, five million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 69 92 96 118 138 177 184 236 276 354 368 472 552 708 736 944 1104 1357 1416 1888 2208 2714 2832 4071 5428 5664 8142 10856 16284 21712 32568 43424 65136 130272 25584971 51169942 76754913 102339884 153509826 204679768 307019652 409359536 588454333 614039304 818719072 1176908666 1228078608 1509513289 1765362999 2353817332 2456157216 3019026578 3530725998 4528539867 4707634664 6038053156 7061451996 9057079734 9415269328 12076106312 14122903992 18114159468 18830538656 24152212624 28245807984 34718805647 36228318936 48304425248 56491615968 69437611294 72456637872 104156416941 138875222588 144913275744 208312833882 277750445176 416625667764 555500890352 833251335528 1111001780704 1666502671056 3333005342112