Search a number
-
+
136445045342430 = 235112172211068633
BaseRepresentation
bin11111000001100010010110…
…011101011000000011011110
3122220010000111210212200211210
4133001202112131120003132
5120341003423101424210
61202105553303125250
740511554264210626
oct3701422635300336
9586100453780753
10136445045342430
113a526022a87500
1213377b69743826
135b1993567b896
142599d92823886
1510b93ae822e20
hex7c18967580de

136445045342430 has 96 divisors (see below), whose sum is σ = 381117478305312. Its totient is φ = 31131846338560.

The previous prime is 136445045342407. The next prime is 136445045342491. The reversal of 136445045342430 is 34243540544631.

136445045342430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 136445045342430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105472607 + ... + 1105596026.

It is an arithmetic number, because the mean of its divisors is an integer number (3969973732347).

Almost surely, 2136445045342430 is an apocalyptic number.

136445045342430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

136445045342430 is an abundant number, since it is smaller than the sum of its proper divisors (244672432962882).

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

136445045342430 is a wasteful number, since it uses less digits than its factorization.

136445045342430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211068682 (or 2211068671 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 48.

The spelling of 136445045342430 in words is "one hundred thirty-six trillion, four hundred forty-five billion, forty-five million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 187 242 255 330 363 374 510 561 605 726 935 1122 1210 1815 1870 2057 2805 3630 4114 5610 6171 10285 12342 20570 30855 61710 2211068633 4422137266 6633205899 11055343165 13266411798 22110686330 24321754963 33166029495 37588166761 48643509926 66332058990 72965264889 75176333522 112764500283 121608774815 145930529778 187940833805 225529000566 243217549630 267539304593 364826324445 375881667610 413469834371 535078609186 563822501415 729652648890 802617913779 826939668742 1127645002830 1240409503113 1337696522965 1605235827558 2067349171855 2480819006226 2675393045930 4013089568895 4134698343710 4548168178081 6202047515565 8026179137790 9096336356162 12404095031130 13644504534243 22740840890405 27289009068486 45481681780810 68222522671215 136445045342430