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141305472 = 273571159
BaseRepresentation
bin10000110110000…
…10011010000000
3100211220001200000
420123002122000
5242133233342
622004400000
73334035210
oct1033023200
9324801600
10141305472
1172843990
123b3a6000
1323376609
1414aa4240
15c61344c
hex86c2680

141305472 has 384 divisors, whose sum is σ = 534643200. Its totient is φ = 36080640.

The previous prime is 141305459. The next prime is 141305497. The reversal of 141305472 is 274503141.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394979 + ... + 2395037.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 2141305472 is an apocalyptic number.

141305472 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 141305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

141305472 is an abundant number, since it is smaller than the sum of its proper divisors (393337728).

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

141305472 is an equidigital number, since it uses as much as digits as its factorization.

141305472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 141305472 is about 11887.1978195031. The cubic root of 141305472 is about 520.8583850108.

The spelling of 141305472 in words is "one hundred forty-one million, three hundred five thousand, four hundred seventy-two".