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129043319076 = 22347228512
BaseRepresentation
bin111100000101110010…
…1001100100100100100
3110100002020202211010000
41320023211030210210
54103240042202301
6135140502101300
712215546054100
oct1701345144444
9410066684100
10129043319076
114a7aa653641
122101441a830
13c226923b49
1463623d6900
153553d8c786
hex1e0b94c924

129043319076 has 135 divisors (see below), whose sum is σ = 392559107787. Its totient is φ = 36856587600.

The previous prime is 129043319071. The next prime is 129043319099. The reversal of 129043319076 is 670913340921.

The square root of 129043319076 is 359226.

It is a perfect power (a square), and thus also a powerful number.

129043319076 is a `hidden beast` number, since 1 + 29 + 0 + 433 + 190 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (129043319071) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45261051 + ... + 45263901.

Almost surely, 2129043319076 is an apocalyptic number.

129043319076 is the 359226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129043319076

129043319076 is an abundant number, since it is smaller than the sum of its proper divisors (263515788711).

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

129043319076 is an frugal number, since it uses more digits than its factorization.

129043319076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

Adding to 129043319076 its reverse (670913340921), we get a palindrome (799956659997).

The spelling of 129043319076 in words is "one hundred twenty-nine billion, forty-three million, three hundred nineteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 2851 3969 5292 5702 7938 8553 11404 15876 17106 19957 25659 34212 39914 51318 59871 76977 79828 102636 119742 139699 153954 179613 230931 239484 279398 307908 359226 419097 461862 538839 558796 718452 838194 923724 1077678 1257291 1616517 1676388 2155356 2514582 3233034 3771873 5029164 6466068 7543746 8128201 11315619 15087492 16256402 22631238 24384603 32512804 45262476 48769206 56897407 73153809 97538412 113794814 146307618 170692221 219461427 227589628 292615236 341384442 398281849 438922854 512076663 658384281 682768884 796563698 877845708 1024153326 1194845547 1316768562 1536229989 1593127396 2048306652 2389691094 2633537124 3072459978 3584536641 4608689967 4779382188 6144919956 7169073282 9217379934 10753609923 14338146564 18434759868 21507219846 32260829769 43014439692 64521659538 129043319076