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201044433424 = 2431617019479
BaseRepresentation
bin1011101100111100101…
…1101001101000010000
3201012221010120101210211
42323033023221220100
511243214333332144
6232205235533504
720345032326262
oct2731713515020
9635833511724
10201044433424
117829838351a
1232b6945a294
1315c5c815b13
149a32ab7b32
155369ed1034
hex2ecf2e9a10

201044433424 has 80 divisors (see below), whose sum is σ = 409306659840. Its totient is φ = 95538240000.

The previous prime is 201044433389. The next prime is 201044433481. The reversal of 201044433424 is 424334440102.

201044433424 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 (31).

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 15 ways as a sum of consecutive naturals, for example, 21204717 + ... + 21214195.

It is an arithmetic number, because the mean of its divisors is an integer number (5116333248).

Almost surely, 2201044433424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204653329920).

201044433424 is an abundant number, since it is smaller than the sum of its proper divisors (208262226416).

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

201044433424 is a wasteful number, since it uses less digits than its factorization.

201044433424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 201044433424 its reverse (424334440102), we get a palindrome (625378873526).

The spelling of 201044433424 in words is "two hundred one billion, forty-four million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 701 976 1402 1891 2804 3782 5608 7564 9479 11216 15128 18958 21731 30256 37916 42761 43462 75832 85522 86924 151664 171044 173848 293849 342088 347696 578219 587698 684176 1156438 1175396 1325591 2312876 2350792 2651182 4625752 4701584 5302364 6644779 9251504 10604728 13289558 17924789 21209456 26579116 35849578 53158232 71699156 106316464 143398312 205988149 286796624 405331519 411976298 810663038 823952596 1621326076 1647905192 3242652152 3295810384 6485304304 12565277089 25130554178 50261108356 100522216712 201044433424