Search a number
-
+
141195313248 = 253114143149509
BaseRepresentation
bin1000001101111111100…
…1011000000001100000
3111111110010220002021020
42003133321120001200
54303132000010443
6144510401325440
713125644234403
oct2033771300140
9444403802236
10141195313248
1154976089730
1223446036880
1310412405142
146b9629bd3a
153a15b33583
hex20dfe58060

141195313248 has 384 divisors, whose sum is σ = 427508928000. Its totient is φ = 40418918400.

The previous prime is 141195313243. The next prime is 141195313261. The reversal of 141195313248 is 842313591141.

It is a super-2 number, since 2×1411953132482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141195313241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277397218 + ... + 277397726.

It is an arithmetic number, because the mean of its divisors is an integer number (1113304500).

Almost surely, 2141195313248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141195313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213754464000).

141195313248 is an abundant number, since it is smaller than the sum of its proper divisors (286313614752).

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

141195313248 is a wasteful number, since it uses less digits than its factorization.

141195313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The spelling of 141195313248 in words is "one hundred forty-one billion, one hundred ninety-five million, three hundred thirteen thousand, two hundred forty-eight".