Search a number
-
+
23043334300410 = 23537223601154897
BaseRepresentation
bin1010011110101001100011…
…10000010110001011111010
310000120220212120212022220010
411033110301300112023322
511010020222040103120
6121001543414042350
74565553206531154
oct517246160261372
9100526776768803
1023043334300410
117384694524026
122701b520493b6
13cb1c918c79c8
145994364a9ad4
1529e623b8c7e0
hex14f531c162fa

23043334300410 has 128 divisors (see below), whose sum is σ = 57148707538944. Its totient is φ = 5942058393600.

The previous prime is 23043334300397. The next prime is 23043334300421. The reversal of 23043334300410 is 1400343334032.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148688082 + ... + 148842978.

It is an arithmetic number, because the mean of its divisors is an integer number (446474277648).

Almost surely, 223043334300410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23043334300410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28574353769472).

23043334300410 is an abundant number, since it is smaller than the sum of its proper divisors (34105373238534).

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

23043334300410 is a wasteful number, since it uses less digits than its factorization.

23043334300410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155768.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23043334300410 its reverse (1400343334032), we get a palindrome (24443677634442).

The spelling of 23043334300410 in words is "twenty-three trillion, forty-three billion, three hundred thirty-four million, three hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 223 370 446 555 601 669 1110 1115 1202 1338 1803 2230 3005 3345 3606 6010 6690 8251 9015 16502 18030 22237 24753 41255 44474 49506 66711 82510 111185 123765 133422 134023 154897 222370 247530 268046 309794 333555 402069 464691 667110 670115 774485 804138 929382 1340230 1548970 2010345 2323455 4020690 4646910 4958851 5731189 9917702 11462378 14876553 17193567 24794255 28655945 29753106 34387134 34542031 49588510 57311890 69084062 74382765 85967835 93093097 103626093 148765530 171935670 172710155 186186194 207252186 279279291 345420310 465465485 518130465 558558582 930930970 1036260930 1278055147 1396396455 2556110294 2792792910 3444444589 3834165441 6390275735 6888889178 7668330882 10333333767 12780551470 17222222945 19170827205 20666667534 20759760631 34444445890 38341654410 41519521262 51666668835 62279281893 103333337670 103798803155 124558563786 207597606310 311396409465 622792818930 768111143347 1536222286694 2304333430041 3840555716735 4608666860082 7681111433470 11521667150205 23043334300410