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14414321020 = 22511227721503
BaseRepresentation
bin11010110110010100…
…10001010101111100
31101012120002101011111
431123022101111330
5214010031233040
610342152531404
71020125464351
oct153312212574
941176071144
1014414321020
116127565800
1229633b0b64
1314893c5a48
149aa528628
155956c4dea
hex35b29157c

14414321020 has 72 divisors (see below), whose sum is σ = 33393733632. Its totient is φ = 5222405760.

The previous prime is 14414321011. The next prime is 14414321027. The reversal of 14414321020 is 2012341441.

It is a happy number.

It is a super-2 number, since 2×144143210202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14414320982 and 14414321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414321027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659589 + ... + 681091.

It is an arithmetic number, because the mean of its divisors is an integer number (463801856).

Almost surely, 214414321020 is an apocalyptic number.

14414321020 is a gapful number since it is divisible by the number (10) 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 14414321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696866816).

14414321020 is an abundant number, since it is smaller than the sum of its proper divisors (18979412612).

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

14414321020 is a wasteful number, since it uses less digits than its factorization.

14414321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21811 (or 21798 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14414321020 its reverse (2012341441), we get a palindrome (16426662461).

The spelling of 14414321020 in words is "fourteen billion, four hundred fourteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 277 484 554 605 1108 1210 1385 2420 2770 3047 5540 6094 12188 15235 21503 30470 33517 43006 60940 67034 86012 107515 134068 167585 215030 236533 335170 430060 473066 670340 946132 1182665 2365330 2601863 4730660 5203726 5956331 10407452 11912662 13009315 23825324 26018630 29781655 52037260 59563310 65519641 119126620 131039282 262078564 327598205 655196410 720716051 1310392820 1441432102 2882864204 3603580255 7207160510 14414321020