Search a number
-
+
1000134003414 = 237133323551233
BaseRepresentation
bin11101000110111001010…
…00011100101011010110
310112121112001120111121110
432203130220130223112
5112341233301102124
62043242154355450
7132154152522360
oct16433450345326
93477461514543
101000134003414
11356177631717
121419baa2bb86
1373409c865c0
143659a169d30
151b0383d6029
hexe8dca1cad6

1000134003414 has 64 divisors (see below), whose sum is σ = 2462613640704. Its totient is φ = 263691749376.

The previous prime is 1000134003391. The next prime is 1000134003419. The reversal of 1000134003414 is 4143004310001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000134003419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538742 + ... + 2089974.

It is an arithmetic number, because the mean of its divisors is an integer number (38478338136).

Almost surely, 21000134003414 is an apocalyptic number.

1000134003414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1000134003414 is an abundant number, since it is smaller than the sum of its proper divisors (1462479637290).

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

1000134003414 is a wasteful number, since it uses less digits than its factorization.

1000134003414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554581.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1000134003414 its reverse (4143004310001), we get a palindrome (5143138313415).

The spelling of 1000134003414 in words is "one trillion, one hundred thirty-four million, three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 3323 6646 9969 19938 23261 43199 46522 69783 86398 129597 139566 259194 302393 551233 604786 907179 1102466 1653699 1814358 3307398 3858631 7166029 7717262 11575893 14332058 21498087 23151786 42996174 50162203 100324406 150486609 300973218 1831747259 3663494518 5495241777 10990483554 12822230813 23812714367 25644461626 38466692439 47625428734 71438143101 76933384878 142876286202 166689000569 333378001138 500067001707 1000134003414