Search a number
-
+
2142015342312 = 233787472923981
BaseRepresentation
bin11111001010111010000…
…100000100011011101000
321120202220201202201122010
4133022322010010123220
5240043321411423222
64320010034355520
7310520064665646
oct37127204043350
97522821681563
102142015342312
1175647290048a
122a717872bba0
13126cb6812ac1
1475961a0c196
153aabaae280c
hex1f2ba1046e8

2142015342312 has 64 divisors (see below), whose sum is σ = 5363200180800. Its totient is φ = 712917342720.

The previous prime is 2142015342293. The next prime is 2142015342361. The reversal of 2142015342312 is 2132435102412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142015342312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89309362 + ... + 89333342.

It is an arithmetic number, because the mean of its divisors is an integer number (83800002825).

Almost surely, 22142015342312 is an apocalyptic number.

It is an amenable number.

2142015342312 is an abundant number, since it is smaller than the sum of its proper divisors (3221184838488).

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

2142015342312 is a wasteful number, since it uses less digits than its factorization.

2142015342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29506 (or 29502 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2142015342312 in words is "two trillion, one hundred forty-two billion, fifteen million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 787 1574 2361 3148 4722 4729 6296 9444 9458 14187 18888 18916 23981 28374 37832 47962 56748 71943 95924 113496 143886 191848 287772 575544 3721723 7443446 11165169 14886892 18873047 22330338 29773784 37746094 44660676 56619141 75492188 89321352 113238282 113406149 150984376 226476564 226812298 340218447 452953128 453624596 680436894 907249192 1360873788 2721747576 89250639263 178501278526 267751917789 357002557052 535503835578 714005114104 1071007671156 2142015342312