Search a number
-
+
141773400807200 = 2552373826957457
BaseRepresentation
bin100000001111000100110001…
…001100011001011100100000
3200120222101221001201201010222
4200033010301030121130200
5122040303411101312300
61221305445020542212
741601535015320101
oct4017046114313440
9616871831651128
10141773400807200
114119a841804668
1213a987750b1968
136115236009b66
142701c2518c3a8
15115ccb8c82785
hex80f131319720

141773400807200 has 144 divisors (see below), whose sum is σ = 347080216772520. Its totient is φ = 56549500600320.

The previous prime is 141773400807193. The next prime is 141773400807217. The reversal of 141773400807200 is 2708004377141.

It can be written as a sum of positive squares in 12 ways, for example, as 51144295522576 + 90629105284624 = 7151524^2 + 9519932^2 .

It is a super-2 number, since 2×1417734008072002 (a number of 29 digits) contains 22 as substring.

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, 2467440872 + ... + 2467498328.

Almost surely, 2141773400807200 is an apocalyptic number.

141773400807200 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 141773400807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173540108386260).

141773400807200 is an abundant number, since it is smaller than the sum of its proper divisors (205306815965320).

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

141773400807200 is a wasteful number, since it uses less digits than its factorization.

141773400807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66119 (or 66106 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 141773400807200 in words is "one hundred forty-one trillion, seven hundred seventy-three billion, four hundred million, eight hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 373 400 746 800 1492 1865 2984 3730 5968 7460 8269 9325 11936 14920 16538 18650 29840 33076 37300 41345 57457 59680 66152 74600 82690 114914 132304 149200 165380 206725 229828 264608 287285 298400 330760 413450 459656 574570 661520 826900 919312 1149140 1323040 1436425 1653800 1838624 2298280 2872850 3084337 3307600 4596560 5745700 6168674 6615200 9193120 11491400 12337348 15421685 21431461 22982800 24674696 30843370 42862922 45965600 49349392 61686740 77108425 85725844 98698784 107157305 123373480 154216850 171451688 214314610 246746960 308433700 342903376 428629220 475111933 493493920 535786525 616867400 685806752 857258440 950223866 1071573050 1233734800 1714516880 1900447732 2143146100 2375559665 2467469600 3429033760 3800895464 4286292200 4751119330 7601790928 8572584400 9502238660 11877798325 15203581856 17145168800 19004477320 23755596650 38008954640 47511193300 76017909280 95022386600 177216751009 190044773200 354433502018 380089546400 708867004036 886083755045 1417734008072 1772167510090 2835468016144 3544335020180 4430418775225 5670936032288 7088670040360 8860837550450 14177340080720 17721675100900 28354680161440 35443350201800 70886700403600 141773400807200