Search a number
-
+
1409361135 = 35713279423
BaseRepresentation
bin101010000000001…
…0010010011101111
310122012221222000120
41110000102103233
510341244024020
6351503300023
746632241410
oct12400222357
93565858016
101409361135
11663602976
12333baa613
13195ca8600
14d526b807
1583ae3740
hex540124ef

1409361135 has 48 divisors (see below), whose sum is σ = 2790641664. Its totient is φ = 594711936.

The previous prime is 1409361131. The next prime is 1409361137. The reversal of 1409361135 is 5311639041.

It is not a de Polignac number, because 1409361135 - 22 = 1409361131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1409361096 and 1409361105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409361131) 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 47 ways as a sum of consecutive naturals, for example, 21967 + ... + 57456.

It is an arithmetic number, because the mean of its divisors is an integer number (58138368).

Almost surely, 21409361135 is an apocalyptic number.

1409361135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1409361135 is a deficient number, since it is larger than the sum of its proper divisors (1381280529).

1409361135 is a wasteful number, since it uses less digits than its factorization.

1409361135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79464 (or 79451 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1409361135 is about 37541.4588821479. The cubic root of 1409361135 is about 1121.1767858097.

The spelling of 1409361135 in words is "one billion, four hundred nine million, three hundred sixty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1183 1365 2535 3549 5915 17745 79423 238269 397115 555961 1032499 1191345 1667883 2779805 3097497 5162495 7227493 8339415 13422487 15487485 21682479 36137465 40267461 67112435 93957409 108412395 201337305 281872227 469787045 1409361135