Search a number
-
+
341972860132128 = 25323971596690853
BaseRepresentation
bin100110111000001011100001…
…0110110011101101100100000
31122211211021201121021022110010
41031300113002312131230200
5324310340404143212003
63211152055124004520
7132013503161135511
oct11560270266355440
91584737647238403
10341972860132128
1199a6596a36aa05
123243076ab30740
13118a7b96590c14
146063809150a08
152980773a96003
hex13705c2d9db20

341972860132128 has 96 divisors (see below), whose sum is σ = 946365055929216. Its totient is φ = 107910754541568.

The previous prime is 341972860132103. The next prime is 341972860132139. The reversal of 341972860132128 is 821231068279143.

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

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 15 ways as a sum of consecutive naturals, for example, 798131251 + ... + 798559602.

It is an arithmetic number, because the mean of its divisors is an integer number (9857969332596).

Almost surely, 2341972860132128 is an apocalyptic number.

It is an amenable number.

341972860132128 is an abundant number, since it is smaller than the sum of its proper divisors (604392195797088).

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

341972860132128 is a wasteful number, since it uses less digits than its factorization.

341972860132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596690986 (or 1596690978 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 341972860132128 in words is "three hundred forty-one trillion, nine hundred seventy-two billion, eight hundred sixty million, one hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 97 138 184 194 276 291 368 388 552 582 736 776 1104 1164 1552 2208 2231 2328 3104 4462 4656 6693 8924 9312 13386 17848 26772 35696 53544 71392 107088 214176 1596690853 3193381706 4790072559 6386763412 9580145118 12773526824 19160290236 25547053648 36723889619 38320580472 51094107296 73447779238 76641160944 110171668857 146895558476 153282321888 154879012741 220343337714 293791116952 309758025482 440686675428 464637038223 587582233904 619516050964 881373350856 929274076446 1175164467808 1239032101928 1762746701712 1858548152892 2478064203856 3525493403424 3562217293043 3717096305784 4956128407712 7124434586086 7434192611568 10686651879129 14248869172172 14868385223136 21373303758258 28497738344344 42746607516516 56995476688688 85493215033032 113990953377376 170986430066064 341972860132128