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23144451300 = 22335236723357
BaseRepresentation
bin10101100011100001…
…000100110011100100
32012201222100221112000
4111203201010303210
5334344434420200
614344333525300
71446353406255
oct254341046344
965658327460
1023144451300
1198a7491903
12459b043830
13224ac975c9
141197b70b2c
15906d45300
hex563844ce4

23144451300 has 144 divisors (see below), whose sum is σ = 74611057920. Its totient is φ = 6154773120.

The previous prime is 23144451299. The next prime is 23144451311. The reversal of 23144451300 is 315444132.

It is a happy number.

23144451300 is a `hidden beast` number, since 2 + 3 + 144 + 4 + 513 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979222 + ... + 1002578.

Almost surely, 223144451300 is an apocalyptic number.

23144451300 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 23144451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37305528960).

23144451300 is an abundant number, since it is smaller than the sum of its proper divisors (51466606620).

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

23144451300 is a wasteful number, since it uses less digits than its factorization.

23144451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23747 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23144451300 its reverse (315444132), we get a palindrome (23459895432).

The spelling of 23144451300 in words is "twenty-three billion, one hundred forty-four million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 367 450 540 675 734 900 1101 1350 1468 1835 2202 2700 3303 3670 4404 5505 6606 7340 9175 9909 11010 13212 16515 18350 19818 22020 23357 27525 33030 36700 39636 46714 49545 55050 66060 70071 82575 93428 99090 110100 116785 140142 165150 198180 210213 233570 247725 280284 330300 350355 420426 467140 495450 583925 630639 700710 840852 990900 1051065 1167850 1261278 1401420 1751775 2102130 2335700 2522556 3153195 3503550 4204260 5255325 6306390 7007100 8572019 10510650 12612780 15765975 17144038 21021300 25716057 31531950 34288076 42860095 51432114 63063900 77148171 85720190 102864228 128580285 154296342 171440380 214300475 231444513 257160570 308592684 385740855 428600950 462889026 514321140 642901425 771481710 857201900 925778052 1157222565 1285802850 1542963420 1928704275 2314445130 2571605700 3857408550 4628890260 5786112825 7714817100 11572225650 23144451300