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1409050146 = 237192199467
BaseRepresentation
bin101001111111100…
…0110011000100010
310122012101011102110
41103333012120202
510341204101041
6351452500150
746626504630
oct12377063042
93565334373
101409050146
11663410259
12333a7a656
13195bc9baa
14d51ca350
1583a81516
hex53fc6622

1409050146 has 96 divisors (see below), whose sum is σ = 3423513600. Its totient is φ = 378667872.

The previous prime is 1409050109. The next prime is 1409050147. The reversal of 1409050146 is 6410509041.

It is a happy number.

1409050146 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1409050147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3017005 + ... + 3017471.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 21409050146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409050146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711756800).

1409050146 is an abundant number, since it is smaller than the sum of its proper divisors (2014463454).

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

1409050146 is a wasteful number, since it uses less digits than its factorization.

1409050146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1409050146 is about 37537.3167128392. The cubic root of 1409050146 is about 1121.0943136200.

Adding to 1409050146 its reverse (6410509041), we get a palindrome (7819559187).

The spelling of 1409050146 in words is "one billion, four hundred nine million, fifty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 199 266 361 398 399 467 597 722 798 934 1083 1194 1393 1401 2166 2527 2786 2802 3269 3781 4179 5054 6538 7562 7581 8358 8873 9807 11343 15162 17746 19614 22686 26467 26619 52934 53238 62111 71839 79401 92933 124222 143678 158802 168587 185866 186333 215517 278799 337174 372666 431034 502873 505761 557598 650531 1005746 1011522 1180109 1301062 1508619 1765727 1951593 2360218 3017238 3531454 3540327 3903186 5297181 7080654 10594362 12360089 24720178 33548813 37080267 67097626 74160534 100646439 201292878 234841691 469683382 704525073 1409050146