Search a number
-
+
4231204992 = 27337174901
BaseRepresentation
bin1111110000110011…
…0001000010000000
3101220212202111002000
43330030301002000
532131142024432
61535505224000
7206565435420
oct37414610200
911825674060
104231204992
11188144aa33
129a1032000
135257b32c1
142c1d3a480
1519b6e557c
hexfc331080

4231204992 has 128 divisors (see below), whose sum is σ = 14272003200. Its totient is φ = 1208908800.

The previous prime is 4231204969. The next prime is 4231205053. The reversal of 4231204992 is 2994021324.

4231204992 is a `hidden beast` number, since 42 + 3 + 120 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63259 + ... + 111642.

It is an arithmetic number, because the mean of its divisors is an integer number (111500025).

Almost surely, 24231204992 is an apocalyptic number.

4231204992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4231204992 is an abundant number, since it is smaller than the sum of its proper divisors (10040798208).

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

4231204992 is a wasteful number, since it uses less digits than its factorization.

4231204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174931 (or 174913 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4231204992 is about 65047.7131957765. The cubic root of 4231204992 is about 1617.4145866078.

The spelling of 4231204992 in words is "four billion, two hundred thirty-one million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 174901 349802 524703 699604 1049406 1224307 1399208 1574109 2098812 2448614 2798416 3148218 3672921 4197624 4722327 4897228 5596832 6296436 7345842 8395248 9444654 9794456 11018763 11193664 12592872 14691684 16790496 18889308 19588912 22037526 22387328 25185744 29383368 33056289 33580992 37778616 39177824 44075052 50371488 58766736 66112578 67161984 75557232 78355648 88150104 100742976 117533472 132225156 151114464 156711296 176300208 201485952 235066944 264450312 302228928 352600416 470133888 528900624 604457856 705200832 1057801248 1410401664 2115602496 4231204992