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142245401220 = 223251373832721
BaseRepresentation
bin1000010001111001111…
…1001001001010000100
3111121011022211002011100
42010132133021022010
54312304310314340
6145202512340100
713163654650356
oct2043637111204
9447138732140
10142245401220
115536490332a
1223699844630
131054bb2b780
146c559270d6
153a77e0a830
hex211e7c9284

142245401220 has 144 divisors (see below), whose sum is σ = 471034195632. Its totient is φ = 34534563840.

The previous prime is 142245401131. The next prime is 142245401227. The reversal of 142245401220 is 22104542241.

It is a happy number.

142245401220 is a `hidden beast` number, since 14 + 2 + 24 + 5 + 401 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15954721344 + 126290679876 = 126312^2 + 355374^2 .

It is not an unprimeable number, because it can be changed into a prime (142245401227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245541 + ... + 587180.

It is an arithmetic number, because the mean of its divisors is an integer number (3271070803).

Almost surely, 2142245401220 is an apocalyptic number.

142245401220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142245401220 is an abundant number, since it is smaller than the sum of its proper divisors (328788794412).

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

142245401220 is a wasteful number, since it uses less digits than its factorization.

142245401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832822 (or 832817 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 142245401220 its reverse (22104542241), we get a palindrome (164349943461).

The spelling of 142245401220 in words is "one hundred forty-two billion, two hundred forty-five million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 73 78 90 117 130 146 156 180 195 219 234 260 292 365 390 438 468 585 657 730 780 876 949 1095 1170 1314 1460 1898 2190 2340 2628 2847 3285 3796 4380 4745 5694 6570 8541 9490 11388 13140 14235 17082 18980 28470 34164 42705 56940 85410 170820 832721 1665442 2498163 3330884 4163605 4996326 7494489 8327210 9992652 10825373 12490815 14988978 16654420 21650746 24981630 29977956 32476119 37472445 43301492 49963260 54126865 60788633 64952238 74944890 97428357 108253730 121577266 129904476 149889780 162380595 182365899 194856714 216507460 243154532 303943165 324761190 364731798 389713428 487141785 547097697 607886330 649522380 729463596 790252229 911829495 974283570 1094195394 1215772660 1580504458 1823658990 1948567140 2188390788 2370756687 2735488485 3161008916 3647317980 3951261145 4741513374 5470976970 7112270061 7902522290 9483026748 10941953940 11853783435 14224540122 15805044580 23707566870 28449080244 35561350305 47415133740 71122700610 142245401220