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14412221520 = 2435509911777
BaseRepresentation
bin11010110110000100…
…10000110001010000
31101012102010201012020
431123002100301100
5214004012042040
610342035531440
71020101601354
oct153302206120
941172121166
1014412221520
116126361384
122962759b80
131488b3c238
149aa13d464
1559540ccd0
hex35b090c50

14412221520 has 80 divisors (see below), whose sum is σ = 44690443200. Its totient is φ = 3842179072.

The previous prime is 14412221503. The next prime is 14412221557. The reversal of 14412221520 is 2512221441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×144122215202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217872 + ... + 1229648.

It is an arithmetic number, because the mean of its divisors is an integer number (558630540).

Almost surely, 214412221520 is an apocalyptic number.

14412221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14412221520 is an abundant number, since it is smaller than the sum of its proper divisors (30278221680).

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

14412221520 is a wasteful number, since it uses less digits than its factorization.

14412221520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16892 (or 16886 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14412221520 its reverse (2512221441), we get a palindrome (16924442961).

The spelling of 14412221520 in words is "fourteen billion, four hundred twelve million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5099 10198 11777 15297 20396 23554 25495 30594 35331 40792 47108 50990 58885 61188 70662 76485 81584 94216 101980 117770 122376 141324 152970 176655 188432 203960 235540 244752 282648 305940 353310 407920 471080 565296 611880 706620 942160 1223760 1413240 2826480 60050923 120101846 180152769 240203692 300254615 360305538 480407384 600509230 720611076 900763845 960814768 1201018460 1441222152 1801527690 2402036920 2882444304 3603055380 4804073840 7206110760 14412221520