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14443120120 = 235111323310837
BaseRepresentation
bin11010111001110000…
…01000010111111000
31101021120021112002211
431130320020113320
5214034414320440
610345102104504
71020625331632
oct153470102770
941246245084
1014443120120
116141845a10
122970b7b134
13149236a230
149b02a3a52
15597eb2eea
hex35ce085f8

14443120120 has 128 divisors (see below), whose sum is σ = 38345711040. Its totient is φ = 4826787840.

The previous prime is 14443120103. The next prime is 14443120169. The reversal of 14443120120 is 2102134441.

It is a happy number.

14443120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14443120091 and 14443120100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327342 + ... + 1338178.

Almost surely, 214443120120 is an apocalyptic number.

14443120120 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 14443120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172855520).

14443120120 is an abundant number, since it is smaller than the sum of its proper divisors (23902590920).

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

14443120120 is a wasteful number, since it uses less digits than its factorization.

14443120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11105 (or 11101 counting only the distinct ones).

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

Adding to 14443120120 its reverse (2102134441), we get a palindrome (16545254561).

The spelling of 14443120120 in words is "fourteen billion, four hundred forty-three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 233 260 286 440 466 520 572 715 932 1144 1165 1430 1864 2330 2563 2860 3029 4660 5126 5720 6058 9320 10252 10837 12116 12815 15145 20504 21674 24232 25630 30290 33319 43348 51260 54185 60580 66638 86696 102520 108370 119207 121160 133276 140881 166595 216740 238414 266552 281762 333190 433480 476828 563524 596035 666380 704405 953656 1127048 1192070 1332760 1408810 1549691 2384140 2525021 2817620 3099382 4768280 5050042 5635240 6198764 7748455 10100084 12397528 12625105 15496910 20200168 25250210 27775231 30993820 32825273 50500420 55550462 61987640 65650546 101000840 111100924 131301092 138876155 164126365 222201848 262602184 277752310 328252730 361078003 555504620 656505460 722156006 1111009240 1313010920 1444312012 1805390015 2888624024 3610780030 7221560060 14443120120