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141020769120 = 253572111732063
BaseRepresentation
bin1000001101010101111…
…1100010101101100000
3111110222222110022201220
42003111133202231200
54302302304102440
6144441204255040
713121424521400
oct2032537425540
9443888408656
10141020769120
1154896603090
12233b76a1480
13103b51c16aa
146b7b024800
153a056568d0
hex20d57e2b60

141020769120 has 576 divisors, whose sum is σ = 596895215616. Its totient is φ = 27578449920.

The previous prime is 141020769083. The next prime is 141020769121. The reversal of 141020769120 is 21967020141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141020769121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4382209 + ... + 4414271.

It is an arithmetic number, because the mean of its divisors is an integer number (1036276416).

Almost surely, 2141020769120 is an apocalyptic number.

141020769120 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 141020769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298447607808).

141020769120 is an abundant number, since it is smaller than the sum of its proper divisors (455874446496).

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

141020769120 is a wasteful number, since it uses less digits than its factorization.

141020769120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123 (or 32108 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

Adding to 141020769120 its reverse (21967020141), we get a palindrome (162987789261).

The spelling of 141020769120 in words is "one hundred forty-one billion, twenty million, seven hundred sixty-nine thousand, one hundred twenty".