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1409359842 = 232112798191
BaseRepresentation
bin101010000000001…
…0001111111100010
310122012221220020200
41110000101333202
510341244003332
6351503250030
746632234552
oct12400217742
93565856220
101409359842
11663601a00
12333ba9916
13195ca7b47
14d526b162
1583ae317c
hex54011fe2

1409359842 has 72 divisors (see below), whose sum is σ = 3399352320. Its totient is φ = 421621200.

The previous prime is 1409359841. The next prime is 1409359849. The reversal of 1409359842 is 2489539041.

1409359842 is a `hidden beast` number, since 14 + 0 + 9 + 3 + 598 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (1409359841) 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 35 ways as a sum of consecutive naturals, for example, 167967 + ... + 176157.

Almost surely, 21409359842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409359842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699676160).

1409359842 is an abundant number, since it is smaller than the sum of its proper divisors (1989992478).

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

1409359842 is a wasteful number, since it uses less digits than its factorization.

1409359842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1409359842 is about 37541.4416611829. The cubic root of 1409359842 is about 1121.1764429399.

The spelling of 1409359842 in words is "one billion, four hundred nine million, three hundred fifty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 121 158 198 237 242 363 474 711 726 869 1089 1422 1738 2178 2607 5214 7821 8191 9559 15642 16382 19118 24573 28677 49146 57354 73719 86031 90101 147438 172062 180202 270303 540606 647089 810909 991111 1294178 1621818 1941267 1982222 2973333 3882534 5823801 5946666 7117979 8919999 11647602 14235958 17839998 21353937 42707874 64061811 78297769 128123622 156595538 234893307 469786614 704679921 1409359842