Search a number
-
+
1434101214 = 237132296967
BaseRepresentation
bin101010101111010…
…1010010111011110
310200221111220000210
41111132222113132
510414112214324
6354145433250
750352442050
oct12536522736
93627456023
101434101214
11676570517
1234033b826
1319b15b400
14d866b8d0
1585d7dd29
hex557aa5de

1434101214 has 96 divisors (see below), whose sum is σ = 3672414720. Its totient is φ = 365129856.

The previous prime is 1434101197. The next prime is 1434101219. The reversal of 1434101214 is 4121014341.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434101219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202359 + ... + 209325.

It is an arithmetic number, because the mean of its divisors is an integer number (38254320).

Almost surely, 21434101214 is an apocalyptic number.

1434101214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1434101214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836207360).

1434101214 is an abundant number, since it is smaller than the sum of its proper divisors (2238313506).

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

1434101214 is a wasteful number, since it uses less digits than its factorization.

1434101214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1434101214 is about 37869.5288325588. The cubic root of 1434101214 is about 1127.6991882474.

Adding to 1434101214 its reverse (4121014341), we get a palindrome (5555115555).

The spelling of 1434101214 in words is "one billion, four hundred thirty-four million, one hundred one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 1014 1131 1183 1218 2262 2366 2639 3549 4901 5278 6967 7098 7917 9802 13934 14703 15834 20901 29406 34307 41802 48769 68614 90571 97538 102921 146307 181142 202043 205842 271713 292614 404086 543426 606129 633997 1177423 1212258 1267994 1414301 1901991 2354846 2626559 2828602 3532269 3803982 4242903 5253118 7064538 7879677 8241961 8485806 15759354 16483922 18385913 24725883 34145267 36771826 49451766 55157739 68290534 102435801 110315478 204871602 239016869 478033738 717050607 1434101214