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141214442240 = 285214351481
BaseRepresentation
bin1000001110000100001…
…0010110001100000000
3111111111110212221022102
42003201002112030000
54303201344122430
6144512323325532
713126265645144
oct2034102261400
9444443787272
10141214442240
1154985964613
12234505208a8
1310416371c81
146b98a3b224
153a17661345
hex20e1096300

141214442240 has 72 divisors (see below), whose sum is σ = 338417132928. Its totient is φ = 56458321920.

The previous prime is 141214442233. The next prime is 141214442251. The reversal of 141214442240 is 42244412141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2717300 + ... + 2768780.

Almost surely, 2141214442240 is an apocalyptic number.

141214442240 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 141214442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169208566464).

141214442240 is an abundant number, since it is smaller than the sum of its proper divisors (197202690688).

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

141214442240 is an equidigital number, since it uses as much as digits as its factorization.

141214442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53645 (or 53631 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 141214442240 its reverse (42244412141), we get a palindrome (183458854381).

The spelling of 141214442240 in words is "one hundred forty-one billion, two hundred fourteen million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 2143 4286 8572 10715 17144 21430 34288 42860 51481 68576 85720 102962 137152 171440 205924 257405 274304 342880 411848 514810 548608 685760 823696 1029620 1371520 1647392 2059240 2743040 3294784 4118480 6589568 8236960 13179136 16473920 32947840 65895680 110323783 220647566 441295132 551618915 882590264 1103237830 1765180528 2206475660 3530361056 4412951320 7060722112 8825902640 14121444224 17651805280 28242888448 35303610560 70607221120 141214442240