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2044042034144 = 2511479101911897
BaseRepresentation
bin11101101111101010011…
…001100011101111100000
321020102000210200222220212
4131233222121203233200
5231442144230043034
64203004150353252
7300451160421665
oct35575231435740
97212023628825
102044042034144
11718967492a10
1229019565b828
1311a9a1b649c6
1470d09bd3a6c
153828478e2ce
hex1dbea663be0

2044042034144 has 96 divisors (see below), whose sum is σ = 4403897164800. Its totient is φ = 926182589440.

The previous prime is 2044042034143. The next prime is 2044042034161. The reversal of 2044042034144 is 4414302404402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2044042034144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044042034143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171805604 + ... + 171817500.

It is an arithmetic number, because the mean of its divisors is an integer number (45873928800).

Almost surely, 22044042034144 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 2044042034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201948582400).

2044042034144 is an abundant number, since it is smaller than the sum of its proper divisors (2359855130656).

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

2044042034144 is a wasteful number, since it uses less digits than its factorization.

2044042034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13416 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2044042034144 its reverse (4414302404402), we get a palindrome (6458344438546).

The spelling of 2044042034144 in words is "two trillion, forty-four billion, forty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 479 958 1019 1916 2038 3832 4076 5269 7664 8152 10538 11209 11897 15328 16304 21076 22418 23794 32608 42152 44836 47588 84304 89672 95176 130867 168608 179344 190352 261734 358688 380704 488101 523468 976202 1046936 1952404 2093872 3904808 4187744 5369111 5698663 7809616 10738222 11397326 12123043 15619232 21476444 22794652 24246086 42952888 45589304 48492172 62685293 85905776 91178608 96984344 125370586 133353473 171811552 182357216 193968688 250741172 266706946 387937376 501482344 533413892 1002964688 1066827784 2005929376 2133655568 4267311136 5806937597 11613875194 23227750388 46455500776 63876313567 92911001552 127752627134 185822003104 255505254268 511010508536 1022021017072 2044042034144