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1053530404240 = 245173492219641
BaseRepresentation
bin11110101010010110100…
…11100011010110010000
310201201100100022201021111
433111023103203112100
5114230112240413430
62123552444503104
7136054315452346
oct17251323432620
93651310281244
101053530404240
113768884a19a6
1215022124aa94
137846958bb52
1438dc39ab996
151c611021c2a
hexf54b4e3590

1053530404240 has 80 divisors (see below), whose sum is σ = 2600976495600. Its totient is φ = 395486576640.

The previous prime is 1053530404229. The next prime is 1053530404243. The reversal of 1053530404240 is 424040353501.

1053530404240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 221377778064 + 832152626176 = 470508^2 + 912224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10535304042402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053530404243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635181 + ... + 1584460.

It is an arithmetic number, because the mean of its divisors is an integer number (32512206195).

Almost surely, 21053530404240 is an apocalyptic number.

1053530404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053530404240 is an abundant number, since it is smaller than the sum of its proper divisors (1547446091360).

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

1053530404240 is a wasteful number, since it uses less digits than its factorization.

1053530404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220020 (or 2220014 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 1053530404240 its reverse (424040353501), we get a palindrome (1477570757741).

The spelling of 1053530404240 in words is "one trillion, fifty-three billion, five hundred thirty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 349 680 698 1360 1396 1745 2792 3490 5584 5933 6980 11866 13960 23732 27920 29665 47464 59330 94928 118660 237320 474640 2219641 4439282 8878564 11098205 17757128 22196410 35514256 37733897 44392820 75467794 88785640 150935588 177571280 188669485 301871176 377338970 603742352 754677940 774654709 1509355880 1549309418 3018711760 3098618836 3873273545 6197237672 7746547090 12394475344 13169130053 15493094180 26338260106 30986188360 52676520212 61972376720 65845650265 105353040424 131691300530 210706080848 263382601060 526765202120 1053530404240