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129431445 = 35111383727
BaseRepresentation
bin1111011011011…
…11011110010101
3100000112210120020
413231233132111
5231113301240
620502055353
73131102103
oct755573625
9300483506
10129431445
1167073840
123741a559
1320a79a70
1413292c73
15b56a0d0
hex7b6f795

129431445 has 64 divisors (see below), whose sum is σ = 246564864. Its totient is φ = 57150720.

The previous prime is 129431441. The next prime is 129431453. The reversal of 129431445 is 544134921.

It is not a de Polignac number, because 129431445 - 22 = 129431441 is a prime.

It is a super-3 number, since 3×1294314453 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129431441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177672 + ... + 178398.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2129431445 is an apocalyptic number.

129431445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129431445 is a deficient number, since it is larger than the sum of its proper divisors (117133419).

129431445 is a wasteful number, since it uses less digits than its factorization.

129431445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its digits is 17280, while the sum is 33.

The square root of 129431445 is about 11376.7941442218. The cubic root of 129431445 is about 505.8401138884.

The spelling of 129431445 in words is "one hundred twenty-nine million, four hundred thirty-one thousand, four hundred forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 83 143 165 195 249 415 429 715 727 913 1079 1245 2145 2181 2739 3237 3635 4565 5395 7997 9451 10905 11869 13695 16185 23991 28353 35607 39985 47255 59345 60341 103961 119955 141765 178035 181023 301705 311883 519805 663751 784433 905115 1559415 1991253 2353299 3318755 3922165 8628763 9956265 11766495 25886289 43143815 129431445