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141250080 = 25351032857
BaseRepresentation
bin10000110101101…
…00111000100000
3100211210020200110
420122310320200
5242130000310
622003251320
73333414546
oct1032647040
9324706613
10141250080
1172806304
123b379b40
132335733a
1414a8bd96
15c601d20
hex86b4e20

141250080 has 96 divisors (see below), whose sum is σ = 449414784. Its totient is φ = 37287936.

The previous prime is 141250073. The next prime is 141250099. The reversal of 141250080 is 80052141.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48012 + ... + 50868.

It is an arithmetic number, because the mean of its divisors is an integer number (4681404).

Almost surely, 2141250080 is an apocalyptic number.

141250080 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 141250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224707392).

141250080 is an abundant number, since it is smaller than the sum of its proper divisors (308164704).

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

141250080 is a wasteful number, since it uses less digits than its factorization.

141250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 141250080 is about 11884.8676896295. The cubic root of 141250080 is about 520.7903169735.

The spelling of 141250080 in words is "one hundred forty-one million, two hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2472 2857 3090 3296 4120 4944 5714 6180 8240 8571 9888 11428 12360 14285 16480 17142 22856 24720 28570 34284 42855 45712 49440 57140 68568 85710 91424 114280 137136 171420 228560 274272 294271 342840 457120 588542 685680 882813 1177084 1371360 1471355 1765626 2354168 2942710 3531252 4414065 4708336 5885420 7062504 8828130 9416672 11770840 14125008 17656260 23541680 28250016 35312520 47083360 70625040 141250080