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4124414322 = 2337194491279
BaseRepresentation
bin1111010111010101…
…1001000101110010
3101122102210221211000
43311311121011302
531421322224242
61521132302430
7204130641360
oct36565310562
911572727730
104124414322
111827140586
12971311a16
13509632962
142b1a9c630
1519214da4c
hexf5d59172

4124414322 has 128 divisors (see below), whose sum is σ = 11059200000. Its totient is φ = 1113025536.

The previous prime is 4124414299. The next prime is 4124414323. The reversal of 4124414322 is 2234144214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4124414323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3224079 + ... + 3225357.

It is an arithmetic number, because the mean of its divisors is an integer number (86400000).

Almost surely, 24124414322 is an apocalyptic number.

4124414322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124414322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600000).

4124414322 is an abundant number, since it is smaller than the sum of its proper divisors (6934785678).

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

4124414322 is a wasteful number, since it uses less digits than its factorization.

4124414322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4124414322 is about 64221.6032344257. The cubic root of 4124414322 is about 1603.6912590906.

Adding to 4124414322 its reverse (2234144214), we get a palindrome (6358558536).

The spelling of 4124414322 in words is "four billion, one hundred twenty-four million, four hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 449 513 798 898 1026 1197 1279 1347 2394 2558 2694 3143 3591 3837 4041 6286 7182 7674 8082 8531 8953 9429 11511 12123 17062 17906 18858 23022 24246 24301 25593 26859 28287 34533 48602 51186 53718 56574 59717 69066 72903 76779 80577 84861 119434 145806 153558 161154 169722 170107 179151 218709 230337 241731 340214 358302 437418 460674 483462 510321 537453 574271 656127 1020642 1074906 1148542 1312254 1530963 1612359 1722813 3061926 3224718 3445626 4019897 4592889 5168439 8039794 9185778 10336878 10911149 12059691 15505317 21822298 24119382 31010634 32733447 36179073 65466894 72358146 76378043 98200341 108537219 152756086 196400682 217074438 229134129 294601023 458268258 589202046 687402387 1374804774 2062207161 4124414322