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1429565445 = 3257211173467
BaseRepresentation
bin101010100110101…
…0111000000000101
310200121222110010100
41111031113000011
510411432043240
6353504314313
750266051200
oct12515270005
93617873110
101429565445
11673a52750
1233a912999
1319a230a19
14d7c0a937
1585784e30
hex55357005

1429565445 has 144 divisors (see below), whose sum is σ = 3330445248. Its totient is φ = 558996480.

The previous prime is 1429565443. The next prime is 1429565447. The reversal of 1429565445 is 5445659241.

1429565445 is a `hidden beast` number, since 1 + 42 + 9 + 565 + 4 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (1429565443) and next prime (1429565447).

It is not a de Polignac number, because 1429565445 - 21 = 1429565443 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1429565445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429565443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410602 + ... + 414068.

It is an arithmetic number, because the mean of its divisors is an integer number (23128092).

Almost surely, 21429565445 is an apocalyptic number.

1429565445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1429565445 is an abundant number, since it is smaller than the sum of its proper divisors (1900879803).

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

1429565445 is a wasteful number, since it uses less digits than its factorization.

1429565445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3510 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 1429565445 is about 37809.5946156528. The cubic root of 1429565445 is about 1126.5090386230.

The spelling of 1429565445 in words is "one billion, four hundred twenty-nine million, five hundred sixty-five thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 11 15 17 21 33 35 45 49 51 55 63 77 85 99 105 119 147 153 165 187 231 245 255 315 357 385 441 495 539 561 595 693 735 765 833 935 1071 1155 1309 1617 1683 1785 2205 2499 2695 2805 3465 3467 3927 4165 4851 5355 6545 7497 8085 8415 9163 10401 11781 12495 17335 19635 24255 24269 27489 31203 37485 38137 45815 52005 58905 58939 72807 82467 114411 121345 137445 156015 169883 176817 190685 218421 266959 294695 343233 364035 412335 412573 509649 530451 572055 648329 800877 849415 884085 1092105 1237719 1334795 1528947 1716165 1868713 1944987 2062865 2402631 2548245 2652255 2888011 3241645 3713157 4004385 4538303 5606139 5834961 6188595 7644735 8664033 9343565 9724935 12013155 13614909 14440055 16818417 18565785 22691515 25992099 28030695 29174805 31768121 40844727 43320165 68074545 84092085 95304363 129960495 158840605 204223635 285913089 476521815 1429565445