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134141430002130 = 23351956694612529
BaseRepresentation
bin11110100000000000111100…
…010010001111000111010010
3122120221210110220012111121000
4132200000330102033013102
5120040233122040032010
61153143415555442430
740153253453664405
oct3640007422170722
9576853426174530
10134141430002130
11398180741a3781
12130656115b6416
1359b06372972c5
14251a6a0a0bd3c
1510794d6a947c0
hex7a003c48f1d2

134141430002130 has 128 divisors (see below), whose sum is σ = 376603849440000. Its totient is φ = 33882376080384.

The previous prime is 134141430002077. The next prime is 134141430002137. The reversal of 134141430002130 is 31200034141431.

134141430002130 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 414 + 30 + 0 + 0 + 213 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134141430002094 and 134141430002103.

It is not an unprimeable number, because it can be changed into a prime (134141430002137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26775706 + ... + 31388234.

It is an arithmetic number, because the mean of its divisors is an integer number (2942217573750).

Almost surely, 2134141430002130 is an apocalyptic number.

134141430002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134141430002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188301924720000).

134141430002130 is an abundant number, since it is smaller than the sum of its proper divisors (242462419437870).

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

134141430002130 is a wasteful number, since it uses less digits than its factorization.

134141430002130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618233 (or 4618227 counting only the distinct ones).

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

Adding to 134141430002130 its reverse (31200034141431), we get a palindrome (165341464143561).

The spelling of 134141430002130 in words is "one hundred thirty-four trillion, one hundred forty-one billion, four hundred thirty million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 5669 11338 17007 28345 34014 51021 56690 85035 102042 107711 153063 170070 215422 255105 306126 323133 510210 538555 646266 765315 969399 1077110 1530630 1615665 1938798 2908197 3231330 4612529 4846995 5816394 9225058 9693990 13837587 14540985 23062645 27675174 29081970 41512761 46125290 69187935 83025522 87638051 124538283 138375870 175276102 207563805 249076566 262914153 415127610 438190255 525828306 622691415 788742459 876380510 1245382830 1314570765 1577484918 2366227377 2629141530 3943712295 4732454754 7887424590 11831136885 23662273770 26148426901 52296853802 78445280703 130742134505 156890561406 235335842109 261484269010 392226403515 470671684218 496820111119 706007526327 784452807030 993640222238 1176679210545 1412015052654 1490460333357 2353358421090 2484100555595 2980920666714 3530037631635 4471381000071 4968201111190 7060075263270 7452301666785 8942762000142 13414143000213 14904603333570 22356905000355 26828286000426 44713810000710 67070715001065 134141430002130