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1023441451344 = 243213242054629
BaseRepresentation
bin11101110010010011101…
…11010011100101010000
310121211200101122112110200
432321021313103211100
5113232002002420334
62102055034055200
7133640555541534
oct16711167234520
93554611575420
101023441451344
11365048022284
1214642457a500
1375682950600
143776b809bc4
151b94e6c6799
hexee49dd3950

1023441451344 has 90 divisors (see below), whose sum is σ = 3101486907870. Its totient is φ = 314905054464.

The previous prime is 1023441451327. The next prime is 1023441451367. The reversal of 1023441451344 is 4431541443201.

It is a happy number.

1023441451344 is a `hidden beast` number, since 1 + 0 + 234 + 41 + 45 + 1 + 344 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1902704400 + 1021538746944 = 43620^2 + 1010712^2 .

It is a super-2 number, since 2×10234414513442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1023441451299 and 1023441451308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21002979 + ... + 21051650.

It is an arithmetic number, because the mean of its divisors is an integer number (34460965643).

Almost surely, 21023441451344 is an apocalyptic number.

It is an amenable number.

1023441451344 is an abundant number, since it is smaller than the sum of its proper divisors (2078045456526).

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

1023441451344 is a wasteful number, since it uses less digits than its factorization.

1023441451344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42054669 (or 42054647 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1023441451344 its reverse (4431541443201), we get a palindrome (5454982894545).

The spelling of 1023441451344 in words is "one trillion, twenty-three billion, four hundred forty-one million, four hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 42054629 84109258 126163887 168218516 252327774 336437032 378491661 504655548 546710177 672874064 756983322 1009311096 1093420354 1513966644 1640130531 2018622192 2186840708 3027933288 3280261062 4373681416 4920391593 6055866576 6560522124 7107232301 8747362832 9840783186 13121044248 14214464602 19681566372 21321696903 26242088496 28428929204 39363132744 42643393806 56857858408 63965090709 78726265488 85286787612 113715716816 127930181418 170573575224 255860362836 341147150448 511720725672 1023441451344