Search a number
-
+
141122122240240 = 24522316811470551
BaseRepresentation
bin100000000101100110001101…
…111101110101000011110000
3200111200010212100012112220001
4200011212031331311003300
5121444121101243141430
61220050335152555344
741503510513663621
oct4005461575650360
9614603770175801
10141122122240240
1140a69612a5a809
12139b24b5252b54
1360989b376a44b
1426bc4c0875a48
15114ad9c1b53ca
hex80598df750f0

141122122240240 has 80 divisors (see below), whose sum is σ = 329600580212736. Its totient is φ = 56192252832000.

The previous prime is 141122122240237. The next prime is 141122122240247. The reversal of 141122122240240 is 42042221221141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 141122122240199 and 141122122240208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122122240247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299672965 + ... + 300143515.

Almost surely, 2141122122240240 is an apocalyptic number.

141122122240240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141122122240240 is an abundant number, since it is smaller than the sum of its proper divisors (188478457972496).

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

141122122240240 is a wasteful number, since it uses less digits than its factorization.

141122122240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487598 (or 487592 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 141122122240240 its reverse (42042221221141), we get a palindrome (183164343461381).

The spelling of 141122122240240 in words is "one hundred forty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3568 4460 8920 16811 17840 33622 67244 84055 134488 168110 268976 336220 470551 672440 941102 1344880 1882204 2352755 3748853 3764408 4705510 7497706 7528816 9411020 14995412 18744265 18822040 29990824 37488530 37644080 59981648 74977060 104932873 149954120 209865746 299908240 419731492 524664365 839462984 1049328730 1678925968 2098657460 4197314920 7910432861 8394629840 15820865722 31641731444 39552164305 63283462888 79104328610 126566925776 158208657220 316417314440 632834628880 1764026528003 3528053056006 7056106112012 8820132640015 14112212224024 17640265280030 28224424448048 35280530560060 70561061120120 141122122240240