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142230555540 = 2232541103187111
BaseRepresentation
bin1000010001110110011…
…0100000101110010100
3111121010021212211201100
42010131212200232110
54312242010234130
6145201222230100
713163414526453
oct2043546405624
9447107784640
10142230555540
1155357493577
1223694885330
1310548a31448
146c53980b9a
153a76976c60
hex211d9a0b94

142230555540 has 144 divisors (see below), whose sum is σ = 446248647936. Its totient is φ = 36643622400.

The previous prime is 142230555503. The next prime is 142230555557. The reversal of 142230555540 is 45555032241.

142230555540 is a `hidden beast` number, since 1 + 4 + 22 + 30 + 55 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142230555495 and 142230555504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666585 + ... + 853695.

It is an arithmetic number, because the mean of its divisors is an integer number (3098948944).

Almost surely, 2142230555540 is an apocalyptic number.

142230555540 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 142230555540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223124323968).

142230555540 is an abundant number, since it is smaller than the sum of its proper divisors (304018092396).

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

142230555540 is a wasteful number, since it uses less digits than its factorization.

142230555540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187270 (or 187265 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 142230555540 its reverse (45555032241), we get a palindrome (187785587781).

The spelling of 142230555540 in words is "one hundred forty-two billion, two hundred thirty million, five hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 103 123 164 180 205 206 246 309 369 410 412 492 515 615 618 738 820 927 1030 1230 1236 1476 1545 1845 1854 2060 2460 3090 3690 3708 4223 4635 6180 7380 8446 9270 12669 16892 18540 21115 25338 38007 42230 50676 63345 76014 84460 126690 152028 187111 190035 253380 374222 380070 561333 748444 760140 935555 1122666 1683999 1871110 2245332 2806665 3367998 3742220 5613330 6735996 7671551 8419995 11226660 15343102 16839990 19272433 23014653 30686204 33679980 38357755 38544866 46029306 57817299 69043959 76715510 77089732 92058612 96362165 115073265 115634598 138087918 153431020 173451897 192724330 230146530 231269196 276175836 289086495 345219795 346903794 385448660 460293060 578172990 690439590 693807588 790169753 867259485 1156345980 1380879180 1580339506 1734518970 2370509259 3160679012 3469037940 3950848765 4741018518 7111527777 7901697530 9482037036 11852546295 14223055554 15803395060 23705092590 28446111108 35557638885 47410185180 71115277770 142230555540