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14244043430420 = 22527712853200041
BaseRepresentation
bin1100111101000111001100…
…1001100001101000010100
31212102201100212200201112122
43033101303021201220110
53331333300104233140
650143342340435112
73000045450315206
oct317216311415024
955381325621478
1014244043430420
1145a19571a1a61
1217207113a8a98
137c4290c4214b
143735b5b38776
1519a7c0d0cab5
hexcf473261a14

14244043430420 has 48 divisors (see below), whose sum is σ = 30022964298768. Its totient is φ = 5676578288640.

The previous prime is 14244043430411. The next prime is 14244043430429. The reversal of 14244043430420 is 2403434044241.

It is an interprime number because it is at equal distance from previous prime (14244043430411) and next prime (14244043430429).

It can be written as a sum of positive squares in 8 ways, for example, as 713166738064 + 13530876692356 = 844492^2 + 3678434^2 .

It is a super-2 number, since 2×142440434304202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14244043430429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71105600 + ... + 71305640.

It is an arithmetic number, because the mean of its divisors is an integer number (625478422891).

Almost surely, 214244043430420 is an apocalyptic number.

14244043430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14244043430420 is an abundant number, since it is smaller than the sum of its proper divisors (15778920868348).

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

14244043430420 is a wasteful number, since it uses less digits than its factorization.

14244043430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213180 (or 213178 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 14244043430420 its reverse (2403434044241), we get a palindrome (16647477474661).

The spelling of 14244043430420 in words is "fourteen trillion, two hundred forty-four billion, forty-three million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 12853 25706 51412 64265 128530 200041 257060 400082 800164 1000205 2000410 3560281 4000820 7120562 14241124 17801405 35602810 55411357 71205620 110822714 221645428 277056785 554113570 1108227140 2571126973 5142253946 10284507892 12855634865 25711269730 51422539460 712202171521 1424404343042 2848808686084 3561010857605 7122021715210 14244043430420