Search a number
-
+
405142021443551 = 73146311287357263
BaseRepresentation
bin101110000011110010111101…
…0010001011000111111011111
31222010111012101001210002112212
41130013211322101120333133
5411100321324442143201
63553355401503551035
7151223354655016310
oct13407457221307737
91863435331702485
10405142021443551
111080aa84808a7a7
12395332a32bb47b
131450a961c18842
147208d9ac9a607
1531c8a18c6cabb
hex170797a458fdf

405142021443551 has 32 divisors (see below), whose sum is σ = 479031643865088. Its totient is φ = 335306020785120.

The previous prime is 405142021443463. The next prime is 405142021443569. The reversal of 405142021443551 is 155344120241504.

It is not a de Polignac number, because 405142021443551 - 222 = 405142017249247 is a prime.

It is a super-3 number, since 3×4051420214435513 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 405142021443499 and 405142021443508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405142021443751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133837546 + ... + 1134194808.

It is an arithmetic number, because the mean of its divisors is an integer number (14969738870784).

Almost surely, 2405142021443551 is an apocalyptic number.

405142021443551 is a deficient number, since it is larger than the sum of its proper divisors (73889622421537).

405142021443551 is a wasteful number, since it uses less digits than its factorization.

405142021443551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369051.

The product of its (nonzero) digits is 384000, while the sum is 41.

The spelling of 405142021443551 in words is "four hundred five trillion, one hundred forty-two billion, twenty-one million, four hundred forty-three thousand, five hundred fifty-one".

Divisors: 1 7 31 217 463 3241 11287 14353 79009 100471 349897 357263 2449279 2500841 5225881 11075153 36581167 77526071 162002311 165412769 1134016177 1157889383 4032427481 5127795839 28226992367 35894570873 125005251911 875036763377 1867013923703 13069097465921 57877431634793 405142021443551