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23240411224320 = 283547128770009
BaseRepresentation
bin1010100100011000101000…
…11101001001100100000000
310001021202120012212100211010
411102030110131021210000
511021232330233134240
6121232255244320520
74616031024664353
oct522142435114400
9101252505770733
1023240411224320
117450226294964
122734192843140
13cc773b456854
145a4bb028a29a
152a480a6b5280
hex152314749900

23240411224320 has 144 divisors (see below), whose sum is σ = 75803299326720. Its totient is φ = 6065582456832.

The previous prime is 23240411224313. The next prime is 23240411224333. The reversal of 23240411224320 is 2342211404232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64204525 + ... + 64565484.

It is an arithmetic number, because the mean of its divisors is an integer number (526411800880).

Almost surely, 223240411224320 is an apocalyptic number.

23240411224320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23240411224320 is an abundant number, since it is smaller than the sum of its proper divisors (52562888102400).

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

23240411224320 is a wasteful number, since it uses less digits than its factorization.

23240411224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128770080 (or 128770066 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23240411224320 its reverse (2342211404232), we get a palindrome (25582622628552).

The spelling of 23240411224320 in words is "twenty-three trillion, two hundred forty billion, four hundred eleven million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 128 141 160 188 192 235 240 256 282 320 376 384 470 480 564 640 705 752 768 940 960 1128 1280 1410 1504 1880 1920 2256 2820 3008 3760 3840 4512 5640 6016 7520 9024 11280 12032 15040 18048 22560 30080 36096 45120 60160 90240 180480 128770009 257540018 386310027 515080036 643850045 772620054 1030160072 1287700090 1545240108 1931550135 2060320144 2575400180 3090480216 3863100270 4120640288 5150800360 6052190423 6180960432 7726200540 8241280576 10301600720 12104380846 12361920864 15452401080 16482561152 18156571269 20603201440 24208761692 24723841728 30260952115 30904802160 32965122304 36313142538 41206402880 48417523384 49447683456 60521904230 61809604320 72626285076 82412805760 90782856345 96835046768 98895366912 121043808460 123619208640 145252570152 164825611520 181565712690 193670093536 242087616920 247238417280 290505140304 363131425380 387340187072 484175233840 494476834560 581010280608 726262850760 774680374144 968350467680 1162020561216 1452525701520 1549360748288 1936700935360 2324041122432 2905051403040 3873401870720 4648082244864 5810102806080 7746803741440 11620205612160 23240411224320