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3441121351216 = 241923701970117
BaseRepresentation
bin110010000100110010110…
…100001101011000110000
3110011222010122220201121221
4302010302310031120300
5422334404031214331
611152455044554424
7503420123606323
oct62046264153060
913158118821557
103441121351216
11110740a32495a
12476ab46b2a14
131bc65b638913
14bc7a05627ba
155e7a12c6711
hex32132d0d630

3441121351216 has 80 divisors (see below), whose sum is σ = 7324357996800. Its totient is φ = 1558890710784.

The previous prime is 3441121351207. The next prime is 3441121351229. The reversal of 3441121351216 is 6121531211443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49041790 + ... + 49111906.

It is an arithmetic number, because the mean of its divisors is an integer number (91554474960).

Almost surely, 23441121351216 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 3441121351216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662178998400).

3441121351216 is an abundant number, since it is smaller than the sum of its proper divisors (3883236645584).

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

3441121351216 is a wasteful number, since it uses less digits than its factorization.

3441121351216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77186 (or 77180 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

Adding to 3441121351216 its reverse (6121531211443), we get a palindrome (9562652562659).

The spelling of 3441121351216 in words is "three trillion, four hundred forty-one billion, one hundred twenty-one million, three hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 368 437 874 1748 3496 6992 7019 14038 28076 56152 70117 112304 133361 140234 161437 266722 280468 322874 533444 560936 645748 1066888 1121872 1291496 1332223 1612691 2133776 2582992 2664446 3067303 3225382 5328892 6134606 6450764 10657784 12269212 12901528 21315568 24538424 25803056 30641129 49076848 61282258 122564516 245129032 490258064 492151223 984302446 1968604892 3937209784 7874419568 9350873237 11319478129 18701746474 22638956258 37403492948 45277912516 74806985896 90555825032 149613971792 181111650064 215070084451 430140168902 860280337804 1720560675608 3441121351216