Search a number
-
+
4104321424 = 247177197313
BaseRepresentation
bin1111010010100010…
…1111100110010000
3101121001000010112121
43310220233212100
531401201241144
61515133504024
7203465104450
oct36450574620
911531003477
104104321424
111816867485
12966642014
13505419178
142ad14bd60
151904d0384
hexf4a2f990

4104321424 has 160 divisors (see below), whose sum is σ = 9890366976. Its totient is φ = 1610219520.

The previous prime is 4104321421. The next prime is 4104321437. The reversal of 4104321424 is 4241234014.

4104321424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4104321421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13112692 + ... + 13113004.

Almost surely, 24104321424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945183488).

4104321424 is an abundant number, since it is smaller than the sum of its proper divisors (5786045552).

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

4104321424 is a wasteful number, since it uses less digits than its factorization.

4104321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4104321424 is about 64064.9781393860. The cubic root of 4104321424 is about 1601.0827858190.

Adding to 4104321424 its reverse (4241234014), we get a palindrome (8345555438).

The spelling of 4104321424 in words is "four billion, one hundred four million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 97 112 119 136 142 194 238 272 284 313 388 476 497 568 626 679 776 952 994 1136 1207 1252 1358 1552 1649 1904 1988 2191 2414 2504 2716 3298 3976 4382 4828 5008 5321 5432 6596 6887 7952 8449 8764 9656 10642 10864 11543 13192 13774 16898 17528 19312 21284 22223 23086 26384 27548 30361 33796 35056 37247 42568 44446 46172 48209 55096 60722 67592 74494 85136 88892 92344 96418 110192 117079 121444 135184 148988 155561 177784 184688 192836 212527 234158 242888 297976 311122 355568 377791 385672 425054 468316 485776 516137 595952 622244 755582 771344 819553 850108 936632 1032274 1244488 1511164 1639106 1700216 1873264 2064548 2155631 2488976 2644537 3022328 3278212 3400432 3612959 4129096 4311262 5289074 6044656 6556424 7225918 8258192 8622524 10578148 13112848 14451836 15089417 17245048 21156296 28903672 30178834 34490096 36645727 42312592 57807344 60357668 73291454 120715336 146582908 241430672 256520089 293165816 513040178 586331632 1026080356 2052160712 4104321424