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23400443103312 = 24311179013289249
BaseRepresentation
bin1010101001000010101110…
…00110010100100001010000
310001212001122010002010120110
411110201113012110201100
511031343101413301222
6121434003135041320
74633424536343262
oct524412706244120
9101761563063513
1023400443103312
1175020880a11a0
12275b1b5070240
1310098631a5782
145ac8320dbb32
152a8a74d4d30c
hex154857194850

23400443103312 has 160 divisors (see below), whose sum is σ = 69833909808000. Its totient is φ = 6673159618560.

The previous prime is 23400443103281. The next prime is 23400443103313. The reversal of 23400443103312 is 21330134400432.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23400443103312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23400443103313) 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 31 ways as a sum of consecutive naturals, for example, 80756064 + ... + 81045312.

It is an arithmetic number, because the mean of its divisors is an integer number (436461936300).

Almost surely, 223400443103312 is an apocalyptic number.

23400443103312 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 23400443103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34916954904000).

23400443103312 is an abundant number, since it is smaller than the sum of its proper divisors (46433466704688).

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

23400443103312 is a wasteful number, since it uses less digits than its factorization.

23400443103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298301 (or 298295 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 23400443103312 its reverse (21330134400432), we get a palindrome (44730577503744).

The spelling of 23400443103312 in words is "twenty-three trillion, four hundred billion, four hundred forty-three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 9013 18026 27039 36052 54078 72104 99143 108156 144208 153221 198286 216312 289249 297429 306442 396572 432624 459663 578498 594858 612884 793144 867747 919326 1156996 1189716 1225768 1586288 1685431 1735494 1838652 2313992 2379432 2451536 3181739 3370862 3470988 3677304 4627984 4758864 4917233 5056293 6363478 6741724 6941976 7354608 9545217 9834466 10112586 12726956 13483448 13883952 14751699 19090434 19668932 20225172 25453912 26966896 29503398 38180868 39337864 40450344 50907824 54089563 59006796 76361736 78675728 80900688 108179126 118013592 152723472 162268689 216358252 236027184 324537378 432716504 649074756 865433008 1298149512 2596299024 2607001237 5214002474 7821003711 10428004948 15642007422 20856009896 28677013607 31284014844 41712019792 44319021029 57354027214 62568029688 86031040821 88638042058 114708054428 125136059376 132957063087 172062081642 177276084116 229416108856 265914126174 344124163284 354552168232 458832217712 487509231319 531828252348 688248326568 709104336464 975018462638 1063656504696 1376496653136 1462527693957 1950036925276 2127313009392 2925055387914 3900073850552 5850110775828 7800147701104 11700221551656 23400443103312