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23433444023440 = 24511216371478809
BaseRepresentation
bin1010101010000000001100…
…00110110101110010010000
310001222012211000010120110111
411111000012012311302100
511032413143132222230
6121501101531211104
74636003405466353
oct525000606656220
9101865730116414
1023433444023440
117515082273a00
122765684ba6a94
13100c9c21b4b49
145b0282d0c29a
152a985714d92a
hex1550061b5c90

23433444023440 has 120 divisors (see below), whose sum is σ = 59922629315640. Its totient is φ = 8516041205760.

The previous prime is 23433444023389. The next prime is 23433444023441. The reversal of 23433444023440 is 4432044433432.

It can be written as a sum of positive squares in 4 ways, for example, as 1395601998736 + 22037842024704 = 1181356^2 + 4694448^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23433444023393 and 23433444023402.

It is not an unprimeable number, because it can be changed into a prime (23433444023441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15106756 + ... + 16585564.

It is an arithmetic number, because the mean of its divisors is an integer number (499355244297).

Almost surely, 223433444023440 is an apocalyptic number.

23433444023440 is a gapful number since it is divisible by the number (20) 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 23433444023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29961314657820).

23433444023440 is an abundant number, since it is smaller than the sum of its proper divisors (36489185292200).

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

23433444023440 is a wasteful number, since it uses less digits than its factorization.

23433444023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480481 (or 1480464 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

Adding to 23433444023440 its reverse (4432044433432), we get a palindrome (27865488456872).

The spelling of 23433444023440 in words is "twenty-three trillion, four hundred thirty-three billion, four hundred forty-four million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1637 1936 2420 3274 4840 6548 8185 9680 13096 16370 18007 26192 32740 36014 65480 72028 90035 130960 144056 180070 198077 288112 360140 396154 720280 792308 990385 1440560 1478809 1584616 1980770 2957618 3169232 3961540 5915236 7394045 7923080 11830472 14788090 15846160 16266899 23660944 29576180 32533798 59152360 65067596 81334495 118304720 130135192 162668990 178935889 260270384 325337980 357871778 650675960 715743556 894679445 1301351920 1431487112 1789358890 2420810333 2862974224 3578717780 4841620666 7157435560 9683241332 12104051665 14314871120 19366482664 24208103330 26628913663 38732965328 48416206660 53257827326 96832413320 106515654652 133144568315 193664826640 213031309304 266289136630 292918050293 426062618608 532578273260 585836100586 1065156546520 1171672201172 1464590251465 2130313093040 2343344402344 2929180502930 4686688804688 5858361005860 11716722011720 23433444023440