Search a number
-
+
23143214430 = 2335714278581
BaseRepresentation
bin10101100011011100…
…010110110101011110
32012201220001002212000
4111203130112311132
5334344130330210
614344251223130
71446340035240
oct254334266536
965656032760
1023143214430
1198a68175a6
12459a747aa6
13224a95362b
14119792c090
15906b9dac0
hex563716d5e

23143214430 has 128 divisors (see below), whose sum is σ = 70589352960. Its totient is φ = 5285554560.

The previous prime is 23143214359. The next prime is 23143214431. The reversal of 23143214430 is 3441234132.

23143214430 is a `hidden beast` number, since 2 + 3 + 14 + 3 + 214 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23143214394 and 23143214403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23143214431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2692740 + ... + 2701320.

It is an arithmetic number, because the mean of its divisors is an integer number (551479320).

Almost surely, 223143214430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23143214430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294676480).

23143214430 is an abundant number, since it is smaller than the sum of its proper divisors (47446138530).

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

23143214430 is a wasteful number, since it uses less digits than its factorization.

23143214430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23143214430 its reverse (3441234132), we get a palindrome (26584448562).

The spelling of 23143214430 in words is "twenty-three billion, one hundred forty-three million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1427 1890 2854 4281 7135 8562 8581 9989 12843 14270 17162 19978 21405 25686 25743 29967 38529 42810 42905 49945 51486 59934 60067 64215 77058 77229 85810 89901 99890 120134 128430 128715 149835 154458 179802 180201 192645 231687 257430 269703 299670 300335 360402 385290 386145 449505 463374 539406 540603 600670 772290 899010 901005 1081206 1158435 1348515 1621809 1802010 2316870 2697030 2703015 3243618 5406030 8109045 12245087 16218090 24490174 36735261 61225435 73470522 85715609 110205783 122450870 171431218 183676305 220411566 257146827 330617349 367352610 428578045 514293654 551028915 661234698 771440481 857156090 1102057830 1285734135 1542880962 1653086745 2314321443 2571468270 3306173490 3857202405 4628642886 7714404810 11571607215 23143214430