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23241133114232 = 23111979971813937
BaseRepresentation
bin1010100100011001111110…
…11110111100001101111000
310001021211102112020011121112
411102030333132330031320
511021240320034123412
6121232455033055452
74616054641645565
oct522147736741570
9101254375204545
1023241133114232
1174505668254a0
122734354557588
13cc7824b8b647
145a4c3c0c186c
152a484dc5d722
hex15233f7bc378

23241133114232 has 128 divisors (see below), whose sum is σ = 51196586112000. Its totient is φ = 9779581992960.

The previous prime is 23241133114231. The next prime is 23241133114273.

23241133114232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23241133114231) 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, 11905568 + ... + 13719504.

It is an arithmetic number, because the mean of its divisors is an integer number (399973329000).

Almost surely, 223241133114232 is an apocalyptic number.

23241133114232 is a gapful number since it is divisible by the number (22) 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 23241133114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598293056000).

23241133114232 is an abundant number, since it is smaller than the sum of its proper divisors (27955452997768).

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

23241133114232 is a wasteful number, since it uses less digits than its factorization.

23241133114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814149 (or 1814145 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2324113 and 3114232, that added together give a palindrome (5438345).

The spelling of 23241133114232 in words is "twenty-three trillion, two hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 79 88 97 152 158 194 209 316 388 418 632 776 836 869 1067 1501 1672 1738 1843 2134 3002 3476 3686 4268 6004 6952 7372 7663 8536 12008 14744 15326 16511 20273 30652 33022 40546 61304 66044 81092 84293 132088 145597 162184 168586 291194 337172 582388 674344 1164776 1601567 1813937 3203134 3627874 6406268 7255748 12812536 14511496 19953307 34464803 39906614 68929606 79813228 137859212 143301023 159626456 175951889 275718424 286602046 351903778 379112833 573204092 703807556 758225666 1146408184 1407615112 1516451332 1576311253 1935470779 2722719437 3032902664 3152622506 3343085891 3870941558 5445438874 6305245012 6686171782 7741883116 10890877748 12610490024 13372343564 13900199231 15483766232 21781755496 26744687128 27800398462 29949913807 36773944801 55600796924 59899827614 73547889602 111201593848 119799655228 147095779204 152902191541 239599310456 264103785389 294191558408 305804383082 528207570778 611608766164 1056415141556 1223217532328 2112830283112 2905141639279 5810283278558 11620566557116 23241133114232