Search a number
-
+
4114322201100 = 2235273211873297
BaseRepresentation
bin111011110111110000101…
…101101001101000001100
3112120022210012002020120110
4323313300231221220030
51014402112440413400
612430032111320020
7603151511454006
oct73676055515014
915508705066513
104114322201100
111346968693401
12565472220010
1323ac958b9087
141031c4589376
157205276ee50
hex3bdf0b69a0c

4114322201100 has 72 divisors (see below), whose sum is σ = 11905737945808. Its totient is φ = 1097002137600.

The previous prime is 4114322201089. The next prime is 4114322201123. The reversal of 4114322201100 is 11022234114.

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 23 ways as a sum of consecutive naturals, for example, 1259652 + ... + 3132948.

Almost surely, 24114322201100 is an apocalyptic number.

It is an amenable number.

4114322201100 is an abundant number, since it is smaller than the sum of its proper divisors (7791415744708).

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

4114322201100 is a wasteful number, since it uses less digits than its factorization.

4114322201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880635 (or 1880628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4114322201100 its reverse (11022234114), we get a palindrome (4125344435214).

The spelling of 4114322201100 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7321 14642 21963 29284 36605 43926 73210 87852 109815 146420 183025 219630 366050 439260 549075 732100 1098150 1873297 2196300 3746594 5619891 7493188 9366485 11239782 18732970 22479564 28099455 37465940 46832425 56198910 93664850 112397820 140497275 187329700 280994550 561989100 13714407337 27428814674 41143222011 54857629348 68572036685 82286444022 137144073370 164572888044 205716110055 274288146740 342860183425 411432220110 685720366850 822864440220 1028580550275 1371440733700 2057161100550 4114322201100