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1340141433040 = 245201728032963
BaseRepresentation
bin10011100000000110101…
…001110111000011010000
311202010010202112112101101
4103200012221313003100
5133424102201324130
62503352533514144
7165551645141404
oct23400651670320
94663122475341
101340141433040
114773949a0a43
1219788a7a2954
13994b4569397
1448c12851104
1524cd80481ca
hex13806a770d0

1340141433040 has 80 divisors (see below), whose sum is σ = 3119538247488. Its totient is φ = 535418892288.

The previous prime is 1340141433019. The next prime is 1340141433041. The reversal of 1340141433040 is 403341410431.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340141433041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452290599 + ... + 452293561.

Almost surely, 21340141433040 is an apocalyptic number.

1340141433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1340141433040 is an abundant number, since it is smaller than the sum of its proper divisors (1779396814448).

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

1340141433040 is a wasteful number, since it uses less digits than its factorization.

1340141433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1340141433040 its reverse (403341410431), we get a palindrome (1743482843471).

The spelling of 1340141433040 in words is "one trillion, three hundred forty billion, one hundred forty-one million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2017 2803 2963 4034 5606 5926 8068 10085 11212 11852 14015 14815 16136 20170 22424 23704 28030 29630 32272 40340 44848 47408 56060 59260 80680 112120 118520 161360 224240 237040 5653651 5976371 8305289 11307302 11952742 16610578 22614604 23905484 28268255 29881855 33221156 41526445 45229208 47810968 56536510 59763710 66442312 83052890 90458416 95621936 113073020 119527420 132884624 166105780 226146040 239054840 332211560 452292080 478109680 664423120 16751767913 33503535826 67007071652 83758839565 134014143304 167517679130 268028286608 335035358260 670070716520 1340141433040