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1044451241040 = 243537127926129
BaseRepresentation
bin11110011001011100010…
…01010010110001010000
310200211220121021102202210
433030232021102301100
5114103014004203130
62115451514512120
7135313322031654
oct17145611226120
93624817242683
101044451241040
11372a49551239
1214a508735640
13776505b232c
14387a1c6aa64
151c27de095b0
hexf32e252c50

1044451241040 has 160 divisors (see below), whose sum is σ = 3351494062080. Its totient is φ = 268858662912.

The previous prime is 1044451240991. The next prime is 1044451241051. The reversal of 1044451241040 is 401421544401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1044451240989 and 1044451241007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664696 + ... + 1590824.

It is an arithmetic number, because the mean of its divisors is an integer number (20946837888).

Almost surely, 21044451241040 is an apocalyptic number.

1044451241040 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 1044451241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675747031040).

1044451241040 is an abundant number, since it is smaller than the sum of its proper divisors (2307042821040).

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

1044451241040 is a wasteful number, since it uses less digits than its factorization.

1044451241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926309 (or 926303 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 1044451241040 its reverse (401421544401), we get a palindrome (1445872785441).

The spelling of 1044451241040 in words is "one trillion, forty-four billion, four hundred fifty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 127 148 185 222 240 254 296 370 381 444 508 555 592 635 740 762 888 1016 1110 1270 1480 1524 1776 1905 2032 2220 2540 2960 3048 3810 4440 4699 5080 6096 7620 8880 9398 10160 14097 15240 18796 23495 28194 30480 37592 46990 56388 70485 75184 93980 112776 140970 187960 225552 281940 375920 563880 926129 1127760 1852258 2778387 3704516 4630645 5556774 7409032 9261290 11113548 13891935 14818064 18522580 22227096 27783870 34266773 37045160 44454192 55567740 68533546 74090320 102800319 111135480 117618383 137067092 171333865 205600638 222270960 235236766 274134184 342667730 352855149 411201276 470473532 514001595 548268368 588091915 685335460 705710298 822402552 940947064 1028003190 1176183830 1370670920 1411420596 1644805104 1764275745 1881894128 2056006380 2352367660 2741341840 2822841192 3528551490 4112012760 4351880171 4704735320 5645682384 7057102980 8224025520 8703760342 9409470640 13055640513 14114205960 17407520684 21759400855 26111281026 28228411920 34815041368 43518801710 52222562052 65278202565 69630082736 87037603420 104445124104 130556405130 174075206840 208890248208 261112810260 348150413680 522225620520 1044451241040