Search a number
-
+
4161871368144 = 2432717242872979
BaseRepresentation
bin111100100100000010110…
…111010100111111010000
3112201212111222020012102100
4330210002313110333100
51021142003032240034
612503534243120400
7606454023636120
oct74440267247720
915655458205370
104161871368144
111365048984376
12572722373100
13242602982889
141056155c6c80
15733d6d9c099
hex3c902dd4fd0

4161871368144 has 120 divisors (see below), whose sum is σ = 14094404775360. Its totient is φ = 1119158682624.

The previous prime is 4161871368047. The next prime is 4161871368157. The reversal of 4161871368144 is 4418631781614.

It is a happy number.

4161871368144 is a `hidden beast` number, since 4 + 1 + 61 + 87 + 1 + 368 + 144 = 666.

4161871368144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121419354 + ... + 121453625.

It is an arithmetic number, because the mean of its divisors is an integer number (117453373128).

Almost surely, 24161871368144 is an apocalyptic number.

It is an amenable number.

4161871368144 is an abundant number, since it is smaller than the sum of its proper divisors (9932533407216).

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

4161871368144 is a wasteful number, since it uses less digits than its factorization.

4161871368144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242873017 (or 242873008 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 4161871368144 in words is "four trillion, one hundred sixty-one billion, eight hundred seventy-one million, three hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 242872979 485745958 728618937 971491916 1457237874 1700110853 1942983832 2185856811 2914475748 3400221706 3885967664 4128840643 4371713622 5100332559 5828951496 6800443412 8257681286 8743427244 10200665118 11657902992 12386521929 13600886824 15300997677 16515362572 17486854488 20401330236 24773043858 27201773648 28901884501 30601995354 33030725144 34973708976 37159565787 40802660472 49546087716 57803769002 61203990708 66061450288 74319131574 81605320944 86705653503 99092175432 115607538004 122407981416 148638263148 173411307006 198184350864 231215076008 244815962832 260116960509 297276526296 346822614012 462430152016 520233921018 594553052592 693645228024 1040467842036 1387290456048 2080935684072 4161871368144