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1345141142440 = 23597734420193
BaseRepresentation
bin10011100100110000101…
…010001111001110101000
311202121001012101002022121
4103210300222033032220
5134014322113024230
62505541015001024
7166116565025554
oct23446052171650
94677035332277
101345141142440
1147952011a687
12198845069174
1399b00325904
1449168878864
1524ecbe4377a
hex13930a8f3a8

1345141142440 has 32 divisors (see below), whose sum is σ = 3029665475880. Its totient is φ = 537505718272.

The previous prime is 1345141142399. The next prime is 1345141142447. The reversal of 1345141142440 is 442411415431.

It can be written as a sum of positive squares in 4 ways, for example, as 1299677521156 + 45463621284 = 1140034^2 + 213222^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1345141142396 and 1345141142405.

It is not an unprimeable number, because it can be changed into a prime (1345141142447) by changing a digit.

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, 17171017 + ... + 17249176.

Almost surely, 21345141142440 is an apocalyptic number.

1345141142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345141142440 is an abundant number, since it is smaller than the sum of its proper divisors (1684524333440).

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

1345141142440 is a wasteful number, since it uses less digits than its factorization.

1345141142440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34421181 (or 34421177 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

Adding to 1345141142440 its reverse (442411415431), we get a palindrome (1787552557871).

The spelling of 1345141142440 in words is "one trillion, three hundred forty-five billion, one hundred forty-one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 977 1954 3908 4885 7816 9770 19540 39080 34420193 68840386 137680772 172100965 275361544 344201930 688403860 1376807720 33628528561 67257057122 134514114244 168142642805 269028228488 336285285610 672570571220 1345141142440