Search a number
-
+
141144123120 = 243571113587513
BaseRepresentation
bin1000001101110011011…
…0000110011011110000
3111111022120120100121120
42003130312012123300
54303030343414440
6144501332222240
713124453152140
oct2033466063360
9444276510546
10141144123120
115494a1a5840
1223430a6a980
1310404921120
146b8d574920
153a113c0dd0
hex20dcd866f0

141144123120 has 320 divisors, whose sum is σ = 587476399104. Its totient is φ = 27072552960.

The previous prime is 141144123089. The next prime is 141144123137. The reversal of 141144123120 is 21321441141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53517 + ... + 533996.

Almost surely, 2141144123120 is an apocalyptic number.

141144123120 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 141144123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293738199552).

141144123120 is an abundant number, since it is smaller than the sum of its proper divisors (446332275984).

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

141144123120 is a wasteful number, since it uses less digits than its factorization.

141144123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587560 (or 587554 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 141144123120 its reverse (21321441141), we get a palindrome (162465564261).

The spelling of 141144123120 in words is "one hundred forty-one billion, one hundred forty-four million, one hundred twenty-three thousand, one hundred twenty".