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1044403342000 = 245319915231723
BaseRepresentation
bin11110011001010110100…
…10100100101010110000
310200211210021010220122021
433030223102210222300
5114102414223421000
62115443044121224
7135312200634424
oct17145322445260
93624707126567
101044403342000
11372a24505a57
1214a4b4696214
13776436b12c5
143879975cb84
151c279ae711a
hexf32b4a4ab0

1044403342000 has 160 divisors (see below), whose sum is σ = 2541198067200. Its totient is φ = 415148025600.

The previous prime is 1044403341973. The next prime is 1044403342001. The reversal of 1044403342000 is 2433044401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1044403342001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 606153139 + ... + 606154861.

It is an arithmetic number, because the mean of its divisors is an integer number (15882487920).

Almost surely, 21044403342000 is an apocalyptic number.

1044403342000 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 1044403342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270599033600).

1044403342000 is an abundant number, since it is smaller than the sum of its proper divisors (1496794725200).

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

1044403342000 is a wasteful number, since it uses less digits than its factorization.

1044403342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1044403342000 its reverse (2433044401), we get a palindrome (1046836386401).

The spelling of 1044403342000 in words is "one trillion, forty-four billion, four hundred three million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1523 1592 1723 1990 2000 3046 3184 3446 3980 4975 6092 6892 7615 7960 8615 9950 12184 13784 15230 15920 17230 19900 24368 24875 27568 30460 34460 38075 39800 43075 49750 60920 68920 76150 79600 86150 99500 121840 137840 152300 172300 190375 199000 215375 303077 304600 342877 344600 380750 398000 430750 606154 609200 685754 689200 761500 861500 1212308 1371508 1515385 1523000 1714385 1723000 2424616 2624129 2743016 3030770 3046000 3428770 3446000 4849232 5248258 5486032 6061540 6857540 7576925 8571925 10496516 12123080 13120645 13715080 15153850 17143850 20993032 24246160 26241290 27430160 30307700 34287700 37884625 41986064 42859625 52482580 60615400 65603225 68575400 75769250 85719250 104965160 121230800 131206450 137150800 151538500 171438500 209930320 262412900 303077000 328016125 342877000 522201671 524825800 606154000 656032250 685754000 1044403342 1049651600 1312064500 2088806684 2611008355 2624129000 4177613368 5222016710 5248258000 8355226736 10444033420 13055041775 20888066840 26110083550 41776133680 52220167100 65275208875 104440334200 130550417750 208880668400 261100835500 522201671000 1044403342000