Search a number
-
+
141305135021300 = 225261349115157667
BaseRepresentation
bin100000001000010000101010…
…011000001011110011110100
3200112022122020211001002210102
4200020100222120023303310
5122010120404031140200
61220310403300013232
741522646654651155
oct4010205230136364
9615278224032712
10141305135021300
114102a1979a1998
1213a21a6b991218
1360b002b61c883
1426c72c284392c
151150a0e1396d5
hex80842a60bcf4

141305135021300 has 144 divisors (see below), whose sum is σ = 312828877670400. Its totient is φ = 55387039680000.

The previous prime is 141305135021299. The next prime is 141305135021339. The reversal of 141305135021300 is 3120531503141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450335067 + ... + 2450392733.

It is an arithmetic number, because the mean of its divisors is an integer number (2172422761600).

Almost surely, 2141305135021300 is an apocalyptic number.

141305135021300 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 141305135021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156414438835200).

141305135021300 is an abundant number, since it is smaller than the sum of its proper divisors (171523742649100).

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

141305135021300 is a wasteful number, since it uses less digits than its factorization.

141305135021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59242 (or 59235 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 141305135021300 its reverse (3120531503141), we get a palindrome (144425666524441).

The spelling of 141305135021300 in words is "one hundred forty-one trillion, three hundred five billion, one hundred thirty-five million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 349 610 698 1151 1220 1396 1525 1745 2302 3050 3490 4604 5755 6100 6980 8725 11510 17450 21289 23020 28775 34900 42578 57550 57667 70211 85156 106445 115100 115334 140422 212890 230668 280844 288335 351055 401699 425780 532225 576670 702110 803398 1064450 1153340 1404220 1441675 1606796 1755275 2008495 2128900 2883350 3510550 3517687 4016990 5766700 7021100 7035374 8033980 10042475 14070748 17588435 20084950 20125783 24503639 35176870 40169900 40251566 49007278 66374717 70353740 80503132 87942175 98014556 100628915 122518195 132749434 175884350 201257830 245036390 265498868 331873585 351768700 402515660 490072780 503144575 612590975 663747170 1006289150 1225181950 1227672763 1327494340 1659367925 2012578300 2450363900 2455345526 3318735850 4048857737 4910691052 6138363815 6637471700 8097715474 12276727630 16195430948 20244288685 23164776233 24553455260 30691819075 40488577370 46329552466 61383638150 80977154740 92659104932 101221443425 115823881165 122767276300 202442886850 231647762330 404885773700 463295524660 579119405825 1158238811650 1413051350213 2316477623300 2826102700426 5652205400852 7065256751065 14130513502130 28261027004260 35326283755325 70652567510650 141305135021300