Search a number
-
+
4169017944 = 2333713212099
BaseRepresentation
bin1111100001111110…
…0010101001011000
3101202112202001111000
43320133202221120
532014232033234
61525404305000
7205212032160
oct37037425130
911675661430
104169017944
11184a335983
12984242160
1351594ba30
142b798d5a0
1519600e899
hexf87e2a58

4169017944 has 128 divisors (see below), whose sum is σ = 14253120000. Its totient is φ = 1099516032.

The previous prime is 4169017903. The next prime is 4169017949. The reversal of 4169017944 is 4497109614.

It is a super-3 number, since 3×41690179443 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4169017944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4169017949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86394 + ... + 125705.

It is an arithmetic number, because the mean of its divisors is an integer number (111352500).

Almost surely, 24169017944 is an apocalyptic number.

It is an amenable number.

4169017944 is an abundant number, since it is smaller than the sum of its proper divisors (10084102056).

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

4169017944 is a wasteful number, since it uses less digits than its factorization.

4169017944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212134 (or 212124 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4169017944 is about 64567.9327840066. The cubic root of 4169017944 is about 1609.4516018657.

The spelling of 4169017944 in words is "four billion, one hundred sixty-nine million, seventeen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 212099 424198 636297 848396 1272594 1484693 1696792 1908891 2545188 2757287 2969386 3817782 4454079 5090376 5514574 5726673 5938772 7635564 8271861 8908158 11029148 11453346 11877544 13362237 15271128 16543722 17816316 19301009 22058296 22906692 24815583 26724474 33087444 35632632 38602018 40086711 45813384 49631166 53448948 57903027 66174888 74446749 77204036 80173422 99262332 106897896 115806054 148893498 154408072 160346844 173709081 198524664 231612108 297786996 320693688 347418162 463224216 521127243 595573992 694836324 1042254486 1389672648 2084508972 4169017944