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141108480 = 283451361
BaseRepresentation
bin10000110100100…
…10010100000000
3100211112001110000
420122102110000
5242110432410
622000240000
73332254662
oct1032222400
9324461400
10141108480
1172719987
123b310000
1323307a56
1414a52532
15c5c4dc0
hex8692500

141108480 has 180 divisors, whose sum is σ = 505282932. Its totient is φ = 37601280.

The previous prime is 141108469. The next prime is 141108481. The reversal of 141108480 is 84801141.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 104530176 = 6048^2 + 10224^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141108481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103000 + ... + 104360.

Almost surely, 2141108480 is an apocalyptic number.

141108480 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 141108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252641466).

141108480 is an abundant number, since it is smaller than the sum of its proper divisors (364174452).

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

141108480 is an equidigital number, since it uses as much as digits as its factorization.

141108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 141108480 is about 11878.9090408168. The cubic root of 141108480 is about 520.6162319634.

The spelling of 141108480 in words is "one hundred forty-one million, one hundred eight thousand, four hundred eighty".