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142080683550 = 235213396718367
BaseRepresentation
bin1000010001010010101…
…0110010111000011110
3111120201211212112222220
42010110222302320132
54311440123333200
6145134310050210
713156614612051
oct2042452627036
9446654775886
10142080683550
115528a929523
1223652649966
13105239788b0
146c3bacaa98
153a687204a0
hex2114ab2e1e

142080683550 has 96 divisors (see below), whose sum is σ = 379581038592. Its totient is φ = 34962986880.

The previous prime is 142080683467. The next prime is 142080683551. The reversal of 142080683550 is 55386080241.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142080683551) 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 47 ways as a sum of consecutive naturals, for example, 7726467 + ... + 7744833.

It is an arithmetic number, because the mean of its divisors is an integer number (3953969152).

Almost surely, 2142080683550 is an apocalyptic number.

142080683550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142080683550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189790519296).

142080683550 is an abundant number, since it is smaller than the sum of its proper divisors (237500355042).

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

142080683550 is a wasteful number, since it uses less digits than its factorization.

142080683550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22357 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 142080683550 in words is "one hundred forty-two billion, eighty million, six hundred eighty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 3967 7934 11901 18367 19835 23802 36734 39670 51571 55101 59505 91835 99175 103142 110202 119010 154713 183670 198350 238771 257855 275505 297525 309426 459175 477542 515710 551010 595050 716313 773565 918350 1193855 1289275 1377525 1432626 1547130 2387710 2578550 2755050 3581565 3867825 5969275 7163130 7735650 11938550 17907825 35815650 72861889 145723778 218585667 364309445 437171334 728618890 947204557 1092928335 1821547225 1894409114 2185856670 2841613671 3643094450 4736022785 5464641675 5683227342 9472045570 10929283350 14208068355 23680113925 28416136710 47360227850 71040341775 142080683550