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141449048832 = 28371329101691
BaseRepresentation
bin1000001110111100000…
…1010011001100000000
3111112002211100012001110
42003233001103030000
54304141424030312
6144551504003320
713135145035320
oct2035701231400
9445084305043
10141449048832
1154a96333a63
12234b7000540
1310452b54c40
146bbbc6b280
153a2d05443c
hex20ef053300

141449048832 has 576 divisors, whose sum is σ = 484759618560. Its totient is φ = 35610624000.

The previous prime is 141449048827. The next prime is 141449048843. The reversal of 141449048832 is 238840944141.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 204701607 + ... + 204702297.

It is an arithmetic number, because the mean of its divisors is an integer number (841596560).

Almost surely, 2141449048832 is an apocalyptic number.

141449048832 is a gapful number since it is divisible by the number (12) 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 141449048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242379809280).

141449048832 is an abundant number, since it is smaller than the sum of its proper divisors (343310569728).

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

141449048832 is a wasteful number, since it uses less digits than its factorization.

141449048832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 141449048832 in words is "one hundred forty-one billion, four hundred forty-nine million, forty-eight thousand, eight hundred thirty-two".