Search a number
-
+
4114322442132 = 2237192577896267
BaseRepresentation
bin111011110111110000101…
…110100100011110010100
3112120022210012112111012120
4323313300232210132110
51014402113021122012
612430032120415540
7603151513506510
oct73676056443624
915508705474176
104114322442132
111346968838501
125654723175b0
1323ac959719b6
141031c460d140
15720527bb58c
hex3bdf0ba4794

4114322442132 has 48 divisors (see below), whose sum is σ = 11548975280640. Its totient is φ = 1113651186912.

The previous prime is 4114322442103. The next prime is 4114322442193. The reversal of 4114322442132 is 2312442234114.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4114322442093 and 4114322442102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1288946538 + ... + 1288949729.

It is an arithmetic number, because the mean of its divisors is an integer number (240603651680).

Almost surely, 24114322442132 is an apocalyptic number.

4114322442132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4114322442132 is an abundant number, since it is smaller than the sum of its proper divisors (7434652838508).

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

4114322442132 is a wasteful number, since it uses less digits than its factorization.

4114322442132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577896300 (or 2577896298 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 4114322442132 its reverse (2312442234114), we get a palindrome (6426764676246).

The spelling of 4114322442132 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, four hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 2577896267 5155792534 7733688801 10311585068 15467377602 18045273869 30934755204 36090547738 48980029073 54135821607 72181095476 97960058146 108271643214 146940087219 195920116292 216543286428 293880174438 342860203511 587760348876 685720407022 1028580610533 1371440814044 2057161221066 4114322442132