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141312151120 = 2457379665813
BaseRepresentation
bin1000001110011011011…
…1000100111001010000
3111111202021202001200211
42003212313010321100
54303401402313440
6144530133453504
713131563315530
oct2034667047120
9444667661624
10141312151120
1154a26030758
12234791a1294
131043069298a
146ba79d34c0
153a21011eea
hex20e6dc4e50

141312151120 has 80 divisors (see below), whose sum is σ = 376477868160. Its totient is φ = 48321971712.

The previous prime is 141312151091. The next prime is 141312151121. The reversal of 141312151120 is 21151213141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 141312151091 and 141312151100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141312151121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120667 + ... + 545146.

It is an arithmetic number, because the mean of its divisors is an integer number (4705973352).

Almost surely, 2141312151120 is an apocalyptic number.

141312151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141312151120 is an abundant number, since it is smaller than the sum of its proper divisors (235165717040).

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

141312151120 is a wasteful number, since it uses less digits than its factorization.

141312151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666212 (or 666206 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 141312151120 its reverse (21151213141), we get a palindrome (162463364261).

The spelling of 141312151120 in words is "one hundred forty-one billion, three hundred twelve million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 379 560 758 1516 1895 2653 3032 3790 5306 6064 7580 10612 13265 15160 21224 26530 30320 42448 53060 106120 212240 665813 1331626 2663252 3329065 4660691 5326504 6658130 9321382 10653008 13316260 18642764 23303455 26632520 37285528 46606910 53265040 74571056 93213820 186427640 252343127 372855280 504686254 1009372508 1261715635 1766401889 2018745016 2523431270 3532803778 4037490032 5046862540 7065607556 8832009445 10093725080 14131215112 17664018890 20187450160 28262430224 35328037780 70656075560 141312151120