Search a number
-
+
3415342206312 = 23321311672168273
BaseRepresentation
bin110001101100110010010…
…000100100110101101000
3110002111121001220110221100
4301230302100210311220
5421424110101100222
611132553032241400
7501515235521421
oct61546220446550
913074531813840
103415342206312
1110a7490701823
12471abb240260
131ba0b0871c1a
14bb43691c648
155dc92eeb4ac
hex31b32424d68

3415342206312 has 96 divisors (see below), whose sum is σ = 9376310623680. Its totient is φ = 1122991434240.

The previous prime is 3415342206293. The next prime is 3415342206313. The reversal of 3415342206312 is 2136022435143.

3415342206312 is a `hidden beast` number, since 3 + 4 + 15 + 3 + 4 + 2 + 2 + 0 + 631 + 2 = 666.

It is a super-2 number, since 2×34153422063122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3415342206313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491008 + ... + 2659280.

It is an arithmetic number, because the mean of its divisors is an integer number (97669902330).

Almost surely, 23415342206312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415342206312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688155311840).

3415342206312 is an abundant number, since it is smaller than the sum of its proper divisors (5960968417368).

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

3415342206312 is a wasteful number, since it uses less digits than its factorization.

3415342206312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168583 (or 2168576 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3415342206312 in words is "three trillion, four hundred fifteen billion, three hundred forty-two million, two hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 167 262 334 393 501 524 668 786 1002 1048 1179 1336 1503 1572 2004 2358 3006 3144 4008 4716 6012 9432 12024 21877 43754 65631 87508 131262 175016 196893 262524 393786 525048 787572 1575144 2168273 4336546 6504819 8673092 13009638 17346184 19514457 26019276 39028914 52038552 78057828 156115656 284043763 362101591 568087526 724203182 852131289 1086304773 1136175052 1448406364 1704262578 2172609546 2272350104 2556393867 2896812728 3258914319 3408525156 4345219092 5112787734 6517828638 6817050312 8690438184 10225575468 13035657276 20451150936 26071314552 47435308421 94870616842 142305925263 189741233684 284611850526 379482467368 426917775789 569223701052 853835551578 1138447402104 1707671103156 3415342206312