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140545400560 = 24561149919213
BaseRepresentation
bin1000001011100100101…
…0001001111011110000
3111102202211222002122221
42002321022021323300
54300314110304220
6144322103410424
713103563123255
oct2027112117360
9442684862587
10140545400560
115467223a704
12232a4453a14
131033a881b16
146b33c4142c
1539c8a569aa
hex20b9289ef0

140545400560 has 80 divisors (see below), whose sum is σ = 332363772000. Its totient is φ = 55256785920.

The previous prime is 140545400539. The next prime is 140545400561. The reversal of 140545400560 is 65004545041.

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 (140545400561) 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, 7305514 + ... + 7324726.

It is an arithmetic number, because the mean of its divisors is an integer number (4154547150).

Almost surely, 2140545400560 is an apocalyptic number.

140545400560 is a gapful number since it is divisible by the number (10) 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 140545400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166181886000).

140545400560 is an abundant number, since it is smaller than the sum of its proper divisors (191818371440).

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

140545400560 is a wasteful number, since it uses less digits than its factorization.

140545400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20786 (or 20780 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 140545400560 in words is "one hundred forty billion, five hundred forty-five million, four hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 1499 2440 2998 4880 5996 7495 11992 14990 19213 23984 29980 38426 59960 76852 91439 96065 119920 153704 182878 192130 307408 365756 384260 457195 731512 768520 914390 1171993 1463024 1537040 1828780 2343986 3657560 4687972 5859965 7315120 9375944 11719930 18751888 23439860 28800287 46879720 57600574 93759440 115201148 144001435 230402296 288002870 460804592 576005740 1152011480 1756817507 2304022960 3513635014 7027270028 8784087535 14054540056 17568175070 28109080112 35136350140 70272700280 140545400560