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1054203324240 = 243511819148751
BaseRepresentation
bin11110101011100110110…
…10100010011101010000
310201210002020112120222110
433111303122202131100
5114233002022333430
62124143323505320
7136110066256263
oct17256332423520
93653066476873
101054203324240
113770a3325730
1215038a688240
1378545b09371
14390490d6cda
151c6501457b0
hexf5736a2750

1054203324240 has 160 divisors (see below), whose sum is σ = 3565632356352. Its totient is φ = 255528000000.

The previous prime is 1054203324221. The next prime is 1054203324247. The reversal of 1054203324240 is 424233024501.

It is a super-2 number, since 2×10542033242402 (a number of 25 digits) contains 22 as substring.

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 = 1054203324198 and 1054203324207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054203324247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21599865 + ... + 21648615.

Almost surely, 21054203324240 is an apocalyptic number.

1054203324240 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 1054203324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782816178176).

1054203324240 is an abundant number, since it is smaller than the sum of its proper divisors (2511429032112).

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

1054203324240 is a wasteful number, since it uses less digits than its factorization.

1054203324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56969 (or 56963 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1054203324240 its reverse (424233024501), we get a palindrome (1478436348741).

The spelling of 1054203324240 in words is "one trillion, fifty-four billion, two hundred three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 8191 16382 24573 32764 40955 48751 49146 65528 81910 90101 97502 98292 122865 131056 146253 163820 180202 195004 196584 243755 245730 270303 292506 327640 360404 390008 393168 450505 487510 491460 536261 540606 585012 655280 720808 731265 780016 901010 975020 982920 1072522 1081212 1170024 1351515 1441616 1462530 1608783 1802020 1950040 1965840 2145044 2162424 2340048 2681305 2703030 2925060 3217566 3604040 3900080 4290088 4324848 5362610 5406060 5850120 6435132 7208080 8043915 8580176 10725220 10812120 11700240 12870264 16087830 21450440 21624240 25740528 32175660 42900880 64351320 128702640 399319441 798638882 1197958323 1597277764 1996597205 2395916646 3194555528 3993194410 4392513851 4791833292 5989791615 6389111056 7986388820 8785027702 9583666584 11979583230 13177541553 15972777640 17570055404 19167333168 21962569255 23959166460 26355083106 31945555280 35140110808 43925138510 47918332920 52710166212 65887707765 70280221616 87850277020 95836665840 105420332424 131775415530 175700554040 210840664848 263550831060 351401108080 527101662120 1054203324240