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1345740948736 = 2823443515929
BaseRepresentation
bin10011100101010100011…
…010010100010100000000
311202122121000000101212121
4103211110122110110000
5134022034140324421
62510120322534024
7166140500220142
oct23452432242400
94678530011777
101345740948736
114797a8755a68
12198991b07314
1399b97684292
14491c43b0c92
1525014923d41
hex13954694500

1345740948736 has 72 divisors (see below), whose sum is σ = 2809350290880. Its totient is φ = 642161135616.

The previous prime is 1345740948707. The next prime is 1345740948751. The reversal of 1345740948736 is 6378490475431.

It is a super-2 number, since 2×13457409487362 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2350420 + ... + 2866348.

It is an arithmetic number, because the mean of its divisors is an integer number (39018754040).

Almost surely, 21345740948736 is an apocalyptic number.

1345740948736 is a gapful number since it is divisible by the number (16) 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 1345740948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404675145440).

1345740948736 is an abundant number, since it is smaller than the sum of its proper divisors (1463609342144).

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

1345740948736 is an equidigital number, since it uses as much as digits as its factorization.

1345740948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516411 (or 516397 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 1345740948736 in words is "one trillion, three hundred forty-five billion, seven hundred forty million, nine hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 443 736 886 1472 1772 2944 3544 5888 7088 10189 14176 20378 28352 40756 56704 81512 113408 163024 326048 515929 652096 1031858 1304192 2063716 2608384 4127432 8254864 11866367 16509728 23732734 33019456 47465468 66038912 94930936 132077824 189861872 228556547 379723744 457113094 759447488 914226188 1518894976 1828452376 3037789952 3656904752 5256800581 7313809504 10513601162 14627619008 21027202324 29255238016 42054404648 58510476032 84108809296 168217618592 336435237184 672870474368 1345740948736