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14401203444 = 22321943659743
BaseRepresentation
bin11010110100110000…
…01110110011110100
31101011122101221020100
431122120032303310
5213443202002234
610341003434100
71016606131605
oct153230166364
941148357210
1014401203444
116120116331
12295ab25930
131486782174
149a88b1dac
15594483399
hex35a60ecf4

14401203444 has 144 divisors (see below), whose sum is σ = 39322483200. Its totient is φ = 4429276992.

The previous prime is 14401203413. The next prime is 14401203457. The reversal of 14401203444 is 44430210441.

14401203444 is a `hidden beast` number, since 14 + 4 + 0 + 1 + 203 + 444 = 666.

It is a super-2 number, since 2×144012034442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19382137 + ... + 19382879.

It is an arithmetic number, because the mean of its divisors is an integer number (273072800).

Almost surely, 214401203444 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 14401203444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661241600).

14401203444 is an abundant number, since it is smaller than the sum of its proper divisors (24921279756).

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

14401203444 is a wasteful number, since it uses less digits than its factorization.

14401203444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1469 counting only the distinct ones).

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

Adding to 14401203444 its reverse (44430210441), we get a palindrome (58831413885).

The spelling of 14401203444 in words is "fourteen billion, four hundred one million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 659 684 743 774 817 1318 1486 1548 1634 1977 2229 2451 2636 2972 3268 3954 4458 4902 5931 6687 7353 7908 8916 9804 11862 12521 13374 14117 14706 23724 25042 26748 28234 28337 29412 31949 37563 42351 50084 56468 56674 63898 75126 84702 85011 95847 112689 113348 127053 127796 150252 169404 170022 191694 225378 254106 255033 287541 340044 383388 450756 489637 508212 510066 538403 575082 607031 979274 1020132 1076806 1150164 1214062 1468911 1615209 1821093 1958548 2153612 2428124 2937822 3230418 3642186 4406733 4845627 5463279 5875644 6460836 7284372 8813466 9303103 9691254 10926558 17626932 18606206 19382508 21054391 21853116 27909309 37212412 42108782 55818618 63163173 83727927 84217564 111637236 126326346 167455854 189489519 252652692 334911708 378979038 400033429 757958076 800066858 1200100287 1600133716 2400200574 3600300861 4800401148 7200601722 14401203444