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141680448 = 26337131753
BaseRepresentation
bin10000111000111…
…01111101000000
3100212121010001000
420130131331000
5242232233243
622020412000
73340156350
oct1034357500
9325533030
10141680448
1172a7a688
123b547000
13234781b0
1414b60b60
15c6895d3
hex871df40

141680448 has 448 divisors, whose sum is σ = 553029120. Its totient is φ = 34504704.

The previous prime is 141680423. The next prime is 141680449. The reversal of 141680448 is 844086141.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141680449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2673190 + ... + 2673242.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2141680448 is an apocalyptic number.

141680448 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 141680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

141680448 is an abundant number, since it is smaller than the sum of its proper divisors (411348672).

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

141680448 is a wasteful number, since it uses less digits than its factorization.

141680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 141680448 is about 11902.9596319571. The cubic root of 141680448 is about 521.3187042610.

The spelling of 141680448 in words is "one hundred forty-one million, six hundred eighty thousand, four hundred forty-eight".