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14444644900 = 22527151136657
BaseRepresentation
bin11010111001111011…
…11100101000100100
31101021200010222201011
431130331330220210
5214040312114100
610345154512004
71020644312230
oct153475745044
941250128634
1014444644900
116142697564
122971595604
13149278227a
149b057d5c0
155981b4bba
hex35cf7ca24

14444644900 has 72 divisors (see below), whose sum is σ = 36060219776. Its totient is φ = 4919616000.

The previous prime is 14444644871. The next prime is 14444644927. The reversal of 14444644900 is 944644441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37372 + ... + 174028.

Almost surely, 214444644900 is an apocalyptic number.

14444644900 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 14444644900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030109888).

14444644900 is an abundant number, since it is smaller than the sum of its proper divisors (21615574876).

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

14444644900 is a wasteful number, since it uses less digits than its factorization.

14444644900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136829 (or 136822 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

It can be divided in two parts, 14444 and 644900, that added together give a square (659344 = 8122).

The spelling of 14444644900 in words is "fourteen billion, four hundred forty-four million, six hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 3020 3775 4228 5285 7550 10570 15100 21140 26425 52850 105700 136657 273314 546628 683285 956599 1366570 1913198 2733140 3416425 3826396 4782995 6832850 9565990 13665700 19131980 20635207 23914975 41270414 47829950 82540828 95659900 103176035 144446449 206352070 288892898 412704140 515880175 577785796 722232245 1031760350 1444464490 2063520700 2888928980 3611161225 7222322450 14444644900