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14401021404 = 22372119712293
BaseRepresentation
bin11010110100101111…
…00010010111011100
31101011122001200112010
431122113202113130
5213443130141104
610340555511220
71016604443100
oct153227422734
941148050463
1014401021404
116120001590
12295aa58510
13148671a353
149a8865900
15594449489
hex35a5e25dc

14401021404 has 144 divisors (see below), whose sum is σ = 42704516736. Its totient is φ = 3735043200.

The previous prime is 14401021399. The next prime is 14401021423. The reversal of 14401021404 is 40412010441.

It is a super-2 number, since 2×144010214042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6279282 + ... + 6281574.

It is an arithmetic number, because the mean of its divisors is an integer number (296559144).

Almost surely, 214401021404 is an apocalyptic number.

14401021404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401021404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21352258368).

14401021404 is an abundant number, since it is smaller than the sum of its proper divisors (28303495332).

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

14401021404 is a wasteful number, since it uses less digits than its factorization.

14401021404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14401021404 its reverse (40412010441), we get a palindrome (54813031845).

The spelling of 14401021404 in words is "fourteen billion, four hundred one million, twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 971 1078 1617 1942 2156 2293 2913 3234 3884 4586 5826 6468 6797 6879 9172 10681 11652 13594 13758 16051 20391 21362 25223 27188 27516 32043 32102 40782 42724 47579 48153 50446 64086 64204 74767 75669 81564 95158 96306 100892 112357 128172 142737 149534 151338 176561 190316 192612 224301 224714 285474 299068 302676 337071 353122 448602 449428 523369 529683 570948 674142 706244 897204 1046738 1059366 1235927 1348284 1570107 2093476 2118732 2226503 2471854 3140214 3707781 4453006 4943708 6280428 6679509 7415562 8906012 13359018 14831124 15585521 24491533 26718036 31171042 46756563 48983066 62342084 73474599 93513126 97966132 109098647 146949198 171440731 187026252 218197294 293898396 327295941 342881462 436394588 514322193 654591882 685762924 1028644386 1200085117 1309183764 2057288772 2400170234 3600255351 4800340468 7200510702 14401021404