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1054441323540 = 22325112285923297
BaseRepresentation
bin11110101100000011001…
…10011011110000010100
310201210200211101012122100
433112001212123300110
5114233443434323130
62124223105002100
7136116016236633
oct17260146336024
93653624335570
101054441323540
11377205702070
12150436323330
1378583209657
143906c96b51a
151c665ea8c60
hexf58199bc14

1054441323540 has 144 divisors (see below), whose sum is σ = 3489544618560. Its totient is φ = 255599984640.

The previous prime is 1054441323539. The next prime is 1054441323631. The reversal of 1054441323540 is 453231444501.

1054441323540 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 413 + 235 + 4 + 0 = 666.

It is a super-2 number, since 2×10544413235402 (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 = 1054441323495 and 1054441323504.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45249172 + ... + 45272468.

It is an arithmetic number, because the mean of its divisors is an integer number (24232948740).

Almost surely, 21054441323540 is an apocalyptic number.

1054441323540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054441323540 is an abundant number, since it is smaller than the sum of its proper divisors (2435103295020).

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

1054441323540 is a wasteful number, since it uses less digits than its factorization.

1054441323540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46182 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1054441323540 in words is "one trillion, fifty-four billion, four hundred forty-one million, three hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 22859 23297 45718 46594 68577 69891 91436 93188 114295 116485 137154 139782 205731 209673 228590 232970 251449 256267 274308 279564 342885 349455 411462 419346 457180 465940 502898 512534 685770 698910 754347 768801 822924 838692 1005796 1025068 1028655 1048365 1257245 1281335 1371540 1397820 1508694 1537602 2057310 2096730 2263041 2306403 2514490 2562670 3017388 3075204 3771735 3844005 4114620 4193460 4526082 4612806 5028980 5125340 7543470 7688010 9052164 9225612 11315205 11532015 15086940 15376020 22630410 23064030 45260820 46128060 532546123 1065092246 1597638369 2130184492 2662730615 3195276738 4792915107 5325461230 5858007353 6390553476 7988191845 9585830214 10650922460 11716014706 15976383690 17574022059 19171660428 23432029412 23964575535 29290036765 31952767380 35148044118 47929151070 52722066177 58580073530 70296088236 87870110295 95858302140 105444132354 117160147060 175740220590 210888264708 263610330885 351480441180 527220661770 1054441323540