Search a number
-
+
23041422413424 = 24365171382021
BaseRepresentation
bin1010011110100101111111…
…10011000100111001110000
310000120201221100022102000000
411033102333303010321300
511010002313114212144
6121001025555430000
74565454633002502
oct517227763047160
9100521840272000
1023041422413424
1173838a329a038
1227016b98b5300
13cb1a4879172c
145992d45c9d72
1529e560dd2769
hex14f4bfcc4e70

23041422413424 has 140 divisors (see below), whose sum is σ = 66946633975272. Its totient is φ = 7678968739200.

The previous prime is 23041422413389. The next prime is 23041422413441. The reversal of 23041422413424 is 42431422414032.

23041422413424 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 1 + 4 + 224 + 1 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 60123534 + ... + 60505554.

Almost surely, 223041422413424 is an apocalyptic number.

23041422413424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041422413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33473316987636).

23041422413424 is an abundant number, since it is smaller than the sum of its proper divisors (43905211561848).

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

23041422413424 is an equidigital number, since it uses as much as digits as its factorization.

23041422413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387218 (or 387197 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23041422413424 its reverse (42431422414032), we get a palindrome (65472844827456).

The spelling of 23041422413424 in words is "twenty-three trillion, forty-one billion, four hundred twenty-two million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5171 5832 10342 11664 15513 20684 31026 41368 46539 62052 82736 93078 124104 139617 186156 248208 279234 372312 382021 418851 558468 744624 764042 837702 1116936 1146063 1256553 1528084 1675404 2233872 2292126 2513106 3056168 3350808 3438189 3769659 4584252 5026212 6112336 6701616 6876378 7539318 9168504 10052424 10314567 13752756 15078636 18337008 20104848 20629134 27505512 30157272 30943701 41258268 55011024 60314544 61887402 82516536 92831103 123774804 165033072 185662206 247549608 278493309 371324412 495099216 556986618 742648824 1113973236 1485297648 1975430591 2227946472 3950861182 4455892944 5926291773 7901722364 11852583546 15803444728 17778875319 23705167092 31606889456 35557750638 47410334184 53336625957 71115501276 94820668368 106673251914 142231002552 160009877871 213346503828 284462005104 320019755742 426693007656 480029633613 640039511484 853386015312 960059267226 1280079022968 1440088900839 1920118534452 2560158045936 2880177801678 3840237068904 5760355603356 7680474137808 11520711206712 23041422413424