Search a number
-
+
1434580421949 = 3241269110313103
BaseRepresentation
bin10100111000000011101…
…010000000110100111101
312002010220101011020112100
4110320003222000310331
5142001010042000244
63015012005055313
7205434145250523
oct24700352006475
95063811136470
101434580421949
11503447281104
121b20460b7539
13a5384c22bcc
144d6110d6313
15274b3e60b69
hex14e03a80d3d

1434580421949 has 48 divisors (see below), whose sum is σ = 2132698014720. Its totient is φ = 928678145280.

The previous prime is 1434580421891. The next prime is 1434580421971. The reversal of 1434580421949 is 9491240854341.

1434580421949 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 580 + 4 + 2 + 19 + 49 = 666.

It is not a de Polignac number, because 1434580421949 - 29 = 1434580421437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1434580421895 and 1434580421904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434580421249) 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, 109478332 + ... + 109491434.

It is an arithmetic number, because the mean of its divisors is an integer number (44431208640).

Almost surely, 21434580421949 is an apocalyptic number.

It is an amenable number.

1434580421949 is a deficient number, since it is larger than the sum of its proper divisors (698117592771).

1434580421949 is a wasteful number, since it uses less digits than its factorization.

1434580421949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14522 (or 14519 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1434580421949 in words is "one trillion, four hundred thirty-four billion, five hundred eighty million, four hundred twenty-one thousand, nine hundred forty-nine".

Divisors: 1 3 9 41 123 269 369 807 1103 2421 3309 9927 11029 13103 33087 39309 45223 99261 117927 135669 296707 407007 537223 890121 1611669 2670363 3524707 4835007 10574121 12164987 14452609 31722363 36494961 43357827 109484883 130073481 144512987 433538961 592556969 1300616883 1777670907 3887751821 5333012721 11663255463 34989766389 159397824661 478193473983 1434580421949