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1353424040000 = 2654311091471
BaseRepresentation
bin10011101100011110010…
…110111111000001000000
311210101102110002212201022
4103230132112333001000
5134133303023240000
62513430542125012
7166532052345134
oct23543626770100
94711373085638
101353424040000
11481a9065016a
1219a376b80768
139a820359226
14497129433c4
15253141c0585
hex13b1e5bf040

1353424040000 has 140 divisors (see below), whose sum is σ = 3464314664448. Its totient is φ = 523905600000.

The previous prime is 1353424039997. The next prime is 1353424040041. The reversal of 1353424040000 is 404243531.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694265 + ... + 1785735.

Almost surely, 21353424040000 is an apocalyptic number.

1353424040000 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 1353424040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732157332224).

1353424040000 is an abundant number, since it is smaller than the sum of its proper divisors (2110890624448).

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

1353424040000 is an equidigital number, since it uses as much as digits as its factorization.

1353424040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091534 (or 1091509 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 1353424040000 its reverse (404243531), we get a palindrome (1353828283531).

The spelling of 1353424040000 in words is "one trillion, three hundred fifty-three billion, four hundred twenty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 19375 20000 24800 31000 38750 40000 49600 62000 77500 124000 155000 248000 310000 620000 1091471 1240000 2182942 4365884 5457355 8731768 10914710 17463536 21829420 27286775 33835601 34927072 43658840 54573550 67671202 69854144 87317680 109147100 135342404 136433875 169178005 174635360 218294200 270684808 272867750 338356010 349270720 436588400 541369616 545735500 676712020 682169375 845890025 873176800 1082739232 1091471000 1353424040 1364338750 1691780050 1746353600 2165478464 2182942000 2706848080 2728677500 3383560100 4229450125 4365884000 5413696160 5457355000 6767120200 8458900250 8731768000 10827392320 10914710000 13534240400 16917800500 21147250625 21829420000 27068480800 33835601000 42294501250 43658840000 54136961600 67671202000 84589002500 135342404000 169178005000 270684808000 338356010000 676712020000 1353424040000