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129417444 = 2232134359109
BaseRepresentation
bin1111011011011…
…00000011100100
3100000112002100200
413231230003210
5231112324234
620501510500
73131013222
oct755540344
9300462320
10129417444
1167064272
1237412430
1320a73590
141328bb12
15b565d99
hex7b6c0e4

129417444 has 144 divisors (see below), whose sum is σ = 369969600. Its totient is φ = 37884672.

The previous prime is 129417439. The next prime is 129417473. The reversal of 129417444 is 444714921.

It is a super-2 number, since 2×1294174442 = 33497749622986272, which contains 22 as substring.

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 = 129417399 and 129417408.

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, 1187262 + ... + 1187370.

Almost surely, 2129417444 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 129417444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184984800).

129417444 is an abundant number, since it is smaller than the sum of its proper divisors (240552156).

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

129417444 is a wasteful number, since it uses less digits than its factorization.

129417444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 129417444 is about 11376.1787960633. The cubic root of 129417444 is about 505.8218738005.

The spelling of 129417444 in words is "one hundred twenty-nine million, four hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 59 78 86 109 117 118 129 156 172 177 218 234 236 258 327 354 387 436 468 516 531 559 654 708 767 774 981 1062 1118 1308 1417 1534 1548 1677 1962 2124 2236 2301 2537 2834 3068 3354 3924 4251 4602 4687 5031 5074 5668 6431 6708 6903 7611 8502 9204 9374 10062 10148 12753 12862 13806 14061 15222 17004 18748 19293 20124 22833 25506 25724 27612 28122 30444 32981 38586 42183 45666 51012 56244 57879 60931 65962 77172 83603 84366 91332 98943 115758 121862 131924 167206 168732 182793 197886 231516 243724 250809 276533 296829 334412 365586 395772 501618 548379 553066 593658 731172 752427 829599 1003236 1096758 1106132 1187316 1504854 1659198 2193516 2488797 3009708 3318396 3594929 4977594 7189858 9955188 10784787 14379716 21569574 32354361 43139148 64708722 129417444