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1053311124040 = 23573761825443
BaseRepresentation
bin11110101001111100011…
…11000100001001001000
310201200210001201010101121
433110332033010021020
5114224140121432130
62123515012525024
7136046013554440
oct17247617041110
93650701633347
101053311124040
1137678574049a
1215017b920774
1378433013c56
1438da280b120
151c5ebb59d7a
hexf53e3c4248

1053311124040 has 32 divisors (see below), whose sum is σ = 2708514319680. Its totient is φ = 361135242432.

The previous prime is 1053311124023. The next prime is 1053311124059. The reversal of 1053311124040 is 404211133501.

It is a super-3 number, since 3×10533111240403 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1053311123996 and 1053311124014.

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 7 ways as a sum of consecutive naturals, for example, 1880912442 + ... + 1880913001.

It is an arithmetic number, because the mean of its divisors is an integer number (84641072490).

Almost surely, 21053311124040 is an apocalyptic number.

1053311124040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053311124040 is an abundant number, since it is smaller than the sum of its proper divisors (1655203195640).

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

1053311124040 is a wasteful number, since it uses less digits than its factorization.

1053311124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761825461 (or 3761825457 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1053311124040 its reverse (404211133501), we get a palindrome (1457522257541).

The spelling of 1053311124040 in words is "one trillion, fifty-three billion, three hundred eleven million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3761825443 7523650886 15047301772 18809127215 26332778101 30094603544 37618254430 52665556202 75236508860 105331112404 131663890505 150473017720 210662224808 263327781010 526655562020 1053311124040