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129401316 = 2232113183127
BaseRepresentation
bin1111011011010…
…00000111100100
3100000111021020100
413231220013210
5231111320231
620501304100
73130615212
oct755500744
9300437210
10129401316
1167053140
1237405030
1320a69135
1413285cb2
15b5611e6
hex7b681e4

129401316 has 144 divisors (see below), whose sum is σ = 375717888. Its totient is φ = 37195200.

The previous prime is 129401309. The next prime is 129401323. The reversal of 129401316 is 613104921.

It is an interprime number because it is at equal distance from previous prime (129401309) and next prime (129401323).

It is a self number, because there is not a number n which added to its sum of digits gives 129401316.

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, 1018845 + ... + 1018971.

It is an arithmetic number, because the mean of its divisors is an integer number (2609152).

Almost surely, 2129401316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129401316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187858944).

129401316 is an abundant number, since it is smaller than the sum of its proper divisors (246316572).

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

129401316 is a wasteful number, since it uses less digits than its factorization.

129401316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 129401316 is about 11375.4699243592. The cubic root of 129401316 is about 505.8008610894.

The spelling of 129401316 in words is "one hundred twenty-nine million, four hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 83 93 99 124 127 132 166 186 198 249 254 279 332 341 372 381 396 498 508 558 682 747 762 913 996 1023 1116 1143 1364 1397 1494 1524 1826 2046 2286 2573 2739 2794 2988 3069 3652 3937 4092 4191 4572 5146 5478 5588 6138 7719 7874 8217 8382 10292 10541 10956 11811 12276 12573 15438 15748 16434 16764 21082 23157 23622 25146 28303 30876 31623 32868 35433 42164 43307 46314 47244 50292 56606 63246 70866 84909 86614 92628 94869 113212 115951 126492 129921 141732 169818 173228 189738 231902 254727 259842 326771 339636 347853 379476 389763 463804 509454 519684 653542 695706 779526 980313 1018908 1043559 1307084 1391412 1559052 1960626 2087118 2940939 3594481 3921252 4174236 5881878 7188962 10783443 11763756 14377924 21566886 32350329 43133772 64700658 129401316