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141130233120 = 2535294021319
BaseRepresentation
bin1000001101110000000…
…1000111010100100000
3111111021121102200010010
42003130001013110200
54303013314424440
6144500114404520
713124224121412
oct2033401072440
9444247380103
10141130233120
1154942378aa8
1223428290740
1310401a99aa6
146b8b79a9b2
153a1007a580
hex20dc047520

141130233120 has 48 divisors (see below), whose sum is σ = 444560235840. Its totient is φ = 37634728704.

The previous prime is 141130233077. The next prime is 141130233121. The reversal of 141130233120 is 21332031141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1411302331203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (141130233121) 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 7 ways as a sum of consecutive naturals, for example, 147010180 + ... + 147011139.

It is an arithmetic number, because the mean of its divisors is an integer number (9261671580).

Almost surely, 2141130233120 is an apocalyptic number.

141130233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141130233120 is an abundant number, since it is smaller than the sum of its proper divisors (303430002720).

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

141130233120 is a wasteful number, since it uses less digits than its factorization.

141130233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294021337 (or 294021329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 141130233120 its reverse (21332031141), we get a palindrome (162462264261).

The spelling of 141130233120 in words is "one hundred forty-one billion, one hundred thirty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 294021319 588042638 882063957 1176085276 1470106595 1764127914 2352170552 2940213190 3528255828 4410319785 4704341104 5880426380 7056511656 8820639570 9408682208 11760852760 14113023312 17641279140 23521705520 28226046624 35282558280 47043411040 70565116560 141130233120