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441433422121144 = 231923137391965143
BaseRepresentation
bin110010001011110110011101…
…0010100010100100010111000
32010212222121211011210120222211
41210113230322110110202320
5430324421122030334034
64202503414202024504
7161660340500004505
oct14427547224244270
92125877734716884
10441433422121144
11118721954707282
1241614907aa8134
1315c40cbaa8400b
147b016c50624ac
153607a6a25ad64
hex1917b3a5148b8

441433422121144 has 64 divisors (see below), whose sum is σ = 909792776563200. Its totient is φ = 199863060921216.

The previous prime is 441433422121079. The next prime is 441433422121171. The reversal of 441433422121144 is 441121224334144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441433422121097 and 441433422121106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41182564 + ... + 50782579.

It is an arithmetic number, because the mean of its divisors is an integer number (14215512133800).

Almost surely, 2441433422121144 is an apocalyptic number.

It is an amenable number.

441433422121144 is an abundant number, since it is smaller than the sum of its proper divisors (468359354442056).

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

441433422121144 is a wasteful number, since it uses less digits than its factorization.

441433422121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91966564 (or 91966560 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 441433422121144 its reverse (441121224334144), we get a palindrome (882554646455288).

The spelling of 441433422121144 in words is "four hundred forty-one trillion, four hundred thirty-three billion, four hundred twenty-two million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 874 1373 1748 2746 3496 5492 10984 26087 31579 52174 63158 104348 126316 208696 252632 600001 1200002 2400004 4800008 91965143 183930286 367860572 735721144 1747337717 2115198289 3494675434 4230396578 6989350868 8460793156 13978701736 16921586312 40188767491 80377534982 126268141339 160755069964 252536282678 321510139928 505072565356 1010145130712 2399094685441 2904167250797 4798189370882 5808334501594 9596378741764 11616669003188 19192757483528 23233338006376 55179177765143 110358355530286 220716711060572 441433422121144