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142221603132 = 2232747104911447
BaseRepresentation
bin1000010001110100010…
…0010111000100111100
3111121002200001000022200
42010131010113010330
54312232212300012
6145200302311500
713163245452240
oct2043504270474
9447080030280
10142221603132
1155352429494
1223691888590
1310546c1866b
146c526d0420
153a75ca93dc
hex211d11713c

142221603132 has 144 divisors (see below), whose sum is σ = 420040857600. Its totient is φ = 39728791296.

The previous prime is 142221603131. The next prime is 142221603163. The reversal of 142221603132 is 231306122241.

142221603132 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 21 + 603 + 1 + 32 = 666.

It is a super-2 number, since 2×1422216031322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142221603096 and 142221603105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142221603131) 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, 12418633 + ... + 12430079.

It is an arithmetic number, because the mean of its divisors is an integer number (2916950400).

Almost surely, 2142221603132 is an apocalyptic number.

142221603132 is a gapful number since it is divisible by the number (12) 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 142221603132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210020428800).

142221603132 is an abundant number, since it is smaller than the sum of its proper divisors (277819254468).

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

142221603132 is a wasteful number, since it uses less digits than its factorization.

142221603132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 142221603132 its reverse (231306122241), we get a palindrome (373527725373).

The spelling of 142221603132 in words is "one hundred forty-two billion, two hundred twenty-one million, six hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1049 1316 1692 1974 2098 2961 3147 3948 4196 5922 6294 7343 9441 11447 11844 12588 14686 18882 22029 22894 29372 34341 37764 44058 45788 49303 66087 68682 80129 88116 98606 103023 132174 137364 147909 160258 197212 206046 240387 264348 295818 320516 345121 412092 443727 480774 538009 591636 690242 721161 887454 961548 1035363 1076018 1380484 1442322 1614027 1774908 2070726 2152036 2884644 3106089 3228054 3766063 4141452 4842081 6212178 6456108 7532126 9684162 11298189 12007903 12424356 15064252 19368324 22596378 24015806 33894567 36023709 45192756 48031612 67789134 72047418 84055321 108071127 135578268 144094836 168110642 216142254 252165963 336221284 432284508 504331926 564371441 756497889 1008663852 1128742882 1512995778 1693114323 2257485764 3025991556 3386228646 3950600087 5079342969 6772457292 7901200174 10158685938 11851800261 15802400348 20317371876 23703600522 35555400783 47407201044 71110801566 142221603132