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142210002420 = 2232517439105863
BaseRepresentation
bin1000010001110001100…
…0000110110111110100
3111121001212012122010200
42010130120012313310
54312221230034140
6145155205520500
713163045035023
oct2043430066764
9447055178120
10142210002420
1155346925722
1223689a13130
13105446b6335
146c50d508ba
153a74c67030
hex211c606df4

142210002420 has 144 divisors (see below), whose sum is σ = 457789812480. Its totient is φ = 35610283008.

The previous prime is 142210002391. The next prime is 142210002439. The reversal of 142210002420 is 24200012241.

142210002420 is a `hidden beast` number, since 1 + 422 + 1 + 0 + 0 + 0 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142210002393 and 142210002402.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1290409 + ... + 1396271.

It is an arithmetic number, because the mean of its divisors is an integer number (3179095920).

Almost surely, 2142210002420 is an apocalyptic number.

142210002420 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 142210002420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228894906240).

142210002420 is an abundant number, since it is smaller than the sum of its proper divisors (315579810060).

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

142210002420 is a wasteful number, since it uses less digits than its factorization.

142210002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106334 (or 106329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 142210002420 its reverse (24200012241), we get a palindrome (166410014661).

The spelling of 142210002420 in words is "one hundred forty-two billion, two hundred ten million, two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 439 510 612 765 878 1020 1317 1530 1756 2195 2634 3060 3951 4390 5268 6585 7463 7902 8780 13170 14926 15804 19755 22389 26340 29852 37315 39510 44778 67167 74630 79020 89556 105863 111945 134334 149260 211726 223890 268668 317589 335835 423452 447780 529315 635178 671670 952767 1058630 1270356 1343340 1587945 1799671 1905534 2117260 3175890 3599342 3811068 4763835 5399013 6351780 7198684 8998355 9527670 10798026 16197039 17996710 19055340 21596052 26995065 32394078 35993420 46473857 53990130 64788156 80985195 92947714 107980260 139421571 161970390 185895428 232369285 278843142 323940780 418264713 464738570 557686284 697107855 790055569 836529426 929477140 1394215710 1580111138 1673058852 2091323565 2370166707 2788431420 3160222276 3950277845 4182647130 4740333414 7110500121 7900555690 8365294260 9480666828 11850833535 14221000242 15801111380 23701667070 28442000484 35552500605 47403334140 71105001210 142210002420