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141041311488 = 28327211137829
BaseRepresentation
bin1000001101011010110…
…1111001111100000000
3111111001102002222120100
42003112231321330000
54302323033431423
6144443220442400
713122064236600
oct2032655717400
9444042088510
10141041311488
11548a7163950
1223402549400
13103b953493c
146b7da50c00
153a07363343
hex20d6b79f00

141041311488 has 648 divisors, whose sum is σ = 520448226480. Its totient is φ = 36322836480.

The previous prime is 141041311441. The next prime is 141041311501. The reversal of 141041311488 is 884113140141.

It is a happy number.

141041311488 is a `hidden beast` number, since 1 + 41 + 0 + 4 + 131 + 1 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170133858 + ... + 170134686.

Almost surely, 2141041311488 is an apocalyptic number.

141041311488 is a gapful number since it is divisible by the number (18) 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 141041311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260224113240).

141041311488 is an abundant number, since it is smaller than the sum of its proper divisors (379406914992).

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

141041311488 is a wasteful number, since it uses less digits than its factorization.

141041311488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 141041311488 in words is "one hundred forty-one billion, forty-one million, three hundred eleven thousand, four hundred eighty-eight".