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141218980 = 22572294969
BaseRepresentation
bin10000110101011…
…01010010100100
3100211201200000121
420122231102210
5242123001410
622002451324
73333225100
oct1032552244
9324650017
10141218980
1172794a01
123b363b44
1323346136
1414a80900
15c5e79da
hex86ad4a4

141218980 has 72 divisors (see below), whose sum is σ = 356945400. Its totient is φ = 46738944.

The previous prime is 141218953. The next prime is 141218999. The reversal of 141218980 is 89812141.

It can be written as a sum of positive squares in 4 ways, for example, as 4235364 + 136983616 = 2058^2 + 11704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25936 + ... + 30904.

It is an arithmetic number, because the mean of its divisors is an integer number (4957575).

Almost surely, 2141218980 is an apocalyptic number.

141218980 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 141218980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178472700).

141218980 is an abundant number, since it is smaller than the sum of its proper divisors (215726420).

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

141218980 is a wasteful number, since it uses less digits than its factorization.

141218980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 141218980 is about 11883.5592311395. The cubic root of 141218980 is about 520.7520921746.

The spelling of 141218980 in words is "one hundred forty-one million, two hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 4969 5684 7105 9938 14210 19876 24845 28420 34783 49690 69566 99380 139132 144101 173915 243481 288202 347830 486962 576404 695660 720505 973924 1008707 1217405 1441010 2017414 2434810 2882020 4034828 4869620 5043535 7060949 10087070 14121898 20174140 28243796 35304745 70609490 141218980