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14201123420430 = 2335443300139563
BaseRepresentation
bin1100111010100111010011…
…1010101011100100001110
31212021121120201010022101000
43032221310322223210032
53330132400043423210
650111523412001130
72663666035253562
oct316516472534416
955247521108330
1014201123420430
114585731a48221
1217143336001a6
137c0210c3402b
143714a38276a2
1519960ccd2ac0
hexcea74eab90e

14201123420430 has 128 divisors (see below), whose sum is σ = 37968754199040. Its totient is φ = 3777063264000.

The previous prime is 14201123420423. The next prime is 14201123420431. The reversal of 14201123420430 is 3402432110241.

14201123420430 is a `hidden beast` number, since 1 + 4 + 201 + 1 + 2 + 3 + 4 + 20 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14201123420394 and 14201123420403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201123420431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358929829 + ... + 358969391.

It is an arithmetic number, because the mean of its divisors is an integer number (296630892180).

Almost surely, 214201123420430 is an apocalyptic number.

14201123420430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201123420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18984377099520).

14201123420430 is an abundant number, since it is smaller than the sum of its proper divisors (23767630778610).

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

14201123420430 is a wasteful number, since it uses less digits than its factorization.

14201123420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43023 (or 43017 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14201123420430 its reverse (3402432110241), we get a palindrome (17603555530671).

The spelling of 14201123420430 in words is "fourteen trillion, two hundred one billion, one hundred twenty-three million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 443 886 1329 2215 2658 3001 3987 4430 6002 6645 7974 9003 11961 13290 15005 18006 19935 23922 27009 30010 39563 39870 45015 54018 59805 79126 81027 90030 118689 119610 135045 162054 197815 237378 270090 356067 395630 405135 593445 712134 810270 1068201 1186890 1329443 1780335 2136402 2658886 3560670 3988329 5341005 6647215 7976658 10682010 11964987 13294430 17526409 19941645 23929974 35052818 35894961 39883290 52579227 59824935 71789922 87632045 105158454 118728563 119649870 157737681 175264090 179474805 237457126 262896135 315475362 356185689 358949610 473213043 525792270 593642815 712371378 788688405 946426086 1068557067 1187285630 1577376810 1780928445 2137114134 2366065215 3205671201 3561856890 4732130430 5342785335 6411342402 10685570670 16028356005 32056712010 52596753409 105193506818 157790260227 262983767045 315580520454 473370780681 525967534090 788951301135 946741561362 1420112342043 1577902602270 2366853903405 2840224684086 4733707806810 7100561710215 14201123420430