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141122441320 = 23572943404177
BaseRepresentation
bin1000001101101110001…
…1011001000001101000
3111111021001202210202221
42003123203121001220
54303004321110240
6144455235403424
713124100646660
oct2033343310150
9444231683687
10141122441320
1154938a369a3
1223425753574
131040029c363
146b8a72d1a0
153a0e53ba4a
hex20db8d9068

141122441320 has 128 divisors (see below), whose sum is σ = 384130771200. Its totient is φ = 45629853696.

The previous prime is 141122441297. The next prime is 141122441323. The reversal of 141122441320 is 23144221141.

It is a super-3 number, since 3×1411224413203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (141122441323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147072 + ... + 551248.

It is an arithmetic number, because the mean of its divisors is an integer number (3001021650).

Almost surely, 2141122441320 is an apocalyptic number.

141122441320 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 141122441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192065385600).

141122441320 is an abundant number, since it is smaller than the sum of its proper divisors (243008329880).

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

141122441320 is a wasteful number, since it uses less digits than its factorization.

141122441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404267 (or 404263 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 141122441320 its reverse (23144221141), we get a palindrome (164266662461).

The spelling of 141122441320 in words is "one hundred forty-one billion, one hundred twenty-two million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 43 56 58 70 86 116 140 145 172 203 215 232 280 290 301 344 406 430 580 602 812 860 1015 1160 1204 1247 1505 1624 1720 2030 2408 2494 3010 4060 4988 6020 6235 8120 8729 9976 12040 12470 17458 24940 34916 43645 49880 69832 87290 174580 349160 404177 808354 1616708 2020885 2829239 3233416 4041770 5658478 8083540 11316956 11721133 14146195 16167080 17379611 22633912 23442266 28292390 34759222 46884532 56584780 58605665 69518444 82047931 86898055 93769064 113169560 117211330 121657277 139036888 164095862 173796110 234422660 243314554 328191724 347592220 410239655 468845320 486629108 504008719 608286385 656383448 695184440 820479310 973258216 1008017438 1216572770 1640958620 2016034876 2433145540 2520043595 3281917240 3528061033 4032069752 4866291080 5040087190 7056122066 10080174380 14112244132 17640305165 20160348760 28224488264 35280610330 70561220660 141122441320