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142220101400 = 235213347157637
BaseRepresentation
bin1000010001110011111…
…0101000011100011000
3111121002120012201022222
42010130332220130120
54312231321221100
6145200210203212
713163226626066
oct2043476503430
9447076181288
10142220101400
11553515a3193
1223691283508
1310546810c70
146c5241d036
153a75aae485
hex211cfa8718

142220101400 has 96 divisors (see below), whose sum is σ = 357125736240. Its totient is φ = 52360373760.

The previous prime is 142220101393. The next prime is 142220101421. The reversal of 142220101400 is 4101022241.

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 23 ways as a sum of consecutive naturals, for example, 823382 + ... + 981018.

Almost surely, 2142220101400 is an apocalyptic number.

142220101400 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 142220101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178562868120).

142220101400 is an abundant number, since it is smaller than the sum of its proper divisors (214905634840).

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

142220101400 is a wasteful number, since it uses less digits than its factorization.

142220101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158013 (or 158004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 142220101400 its reverse (4101022241), we get a palindrome (146321123641).

The spelling of 142220101400 in words is "one hundred forty-two billion, two hundred twenty million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 347 520 650 694 1300 1388 1735 2600 2776 3470 4511 6940 8675 9022 13880 17350 18044 22555 34700 36088 45110 69400 90220 112775 157637 180440 225550 315274 451100 630548 788185 902200 1261096 1576370 2049281 3152740 3940925 4098562 6305480 7881850 8197124 10246405 15763700 16394248 20492810 31527400 40985620 51232025 54700039 81971240 102464050 109400078 204928100 218800156 273500195 409856200 437600312 547000390 711100507 1094000780 1367500975 1422201014 2188001560 2735001950 2844402028 3555502535 5470003900 5688804056 7111005070 10940007800 14222010140 17777512675 28444020280 35555025350 71110050700 142220101400