Search a number
-
+
23443244430342 = 23111959794010893
BaseRepresentation
bin1010101010010010011100…
…10000011011010000000110
310002000011010000022211022220
411111021032100123100012
511033043231033232332
6121505402224033210
74636501310540262
oct525111620332006
9102004100284286
1023443244430342
117519251353740
12276755b162806
1310108c472b299
145b09327570a2
152a9c2c732d2c
hex15524e41b406

23443244430342 has 128 divisors (see below), whose sum is σ = 55446598656000. Its totient is φ = 6532299146880.

The previous prime is 23443244430341. The next prime is 23443244430343. The reversal of 23443244430342 is 24303444234432.

It is an interprime number because it is at equal distance from previous prime (23443244430341) and next prime (23443244430343).

It is a super-2 number, since 2×234432444303422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23443244430294 and 23443244430303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23443244430341) 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, 3839448 + ... + 7850340.

It is an arithmetic number, because the mean of its divisors is an integer number (433176552000).

Almost surely, 223443244430342 is an apocalyptic number.

23443244430342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23443244430342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723299328000).

23443244430342 is an abundant number, since it is smaller than the sum of its proper divisors (32003354225658).

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

23443244430342 is a wasteful number, since it uses less digits than its factorization.

23443244430342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011066.

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 23443244430342 its reverse (24303444234432), we get a palindrome (47746688664774).

The spelling of 23443244430342 in words is "twenty-three trillion, four hundred forty-three billion, two hundred forty-four million, four hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 59 66 79 114 118 158 177 209 237 354 418 474 627 649 869 1121 1254 1298 1501 1738 1947 2242 2607 3002 3363 3894 4503 4661 5214 6726 9006 9322 12331 13983 16511 24662 27966 33022 36993 49533 51271 73986 88559 99066 102542 153813 177118 265677 307626 531354 974149 1948298 2922447 4010893 5844894 8021786 12032679 24065358 44119823 76206967 88239646 132359469 152413934 228620901 236642687 264718938 316860547 457241802 473285374 633721094 709928061 838276637 950581641 1419856122 1676553274 1901163282 2514829911 2603069557 3485466017 4496211053 5029659822 5206139114 6020350393 6970932034 7809208671 8992422106 10456398051 12040700786 13488633159 15618417342 18061051179 18694772273 20912796102 26977266318 36122102358 37389544546 49458321583 56084316819 66223854323 98916643166 112168633638 132447708646 148374964749 198671562969 205642495003 296749929498 355200673187 397343125938 411284990006 616927485009 710401346374 1065602019561 1233854970018 2131204039122 3907207405057 7814414810114 11721622215171 23443244430342