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14523240144 = 243736114461
BaseRepresentation
bin11011000011010011…
…10000111011010000
31101111011001001010010
431201221300323100
5214220422141034
610401043234520
71022620335000
oct154151607320
941434031103
1014523240144
116182a99306
122993978a40
1314a5b4012a
149bab9c000
155a003c3e9
hex361a70ed0

14523240144 has 160 divisors (see below), whose sum is σ = 44473542400. Its totient is φ = 4081190400.

The previous prime is 14523240133. The next prime is 14523240163. The reversal of 14523240144 is 44104232541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997074 + ... + 1011534.

It is an arithmetic number, because the mean of its divisors is an integer number (277959640).

Almost surely, 214523240144 is an apocalyptic number.

14523240144 is a gapful number since it is divisible by the number (14) 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 14523240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22236771200).

14523240144 is an abundant number, since it is smaller than the sum of its proper divisors (29950302256).

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

14523240144 is a wasteful number, since it uses less digits than its factorization.

14523240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14554 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14523240144 its reverse (44104232541), we get a palindrome (58627472685).

The spelling of 14523240144 in words is "fourteen billion, five hundred twenty-three million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 343 366 392 427 488 588 686 732 784 854 976 1029 1176 1281 1372 1464 1708 2058 2352 2562 2744 2928 2989 3416 4116 5124 5488 5978 6832 8232 8967 10248 11956 14461 16464 17934 20496 20923 23912 28922 35868 41846 43383 47824 57844 62769 71736 83692 86766 101227 115688 125538 143472 167384 173532 202454 231376 251076 303681 334768 347064 404908 502152 607362 694128 708589 809816 882121 1004304 1214724 1417178 1619632 1764242 2125767 2429448 2646363 2834356 3528484 4251534 4858896 4960123 5292726 5668712 6174847 7056968 8503068 9920246 10585452 11337424 12349694 14113936 14880369 17006136 18524541 19840492 21170904 24699388 29760738 34012272 37049082 39680984 42341808 43223929 49398776 59521476 74098164 79361968 86447858 98797552 119042952 129671787 148196328 172895716 238085904 259343574 296392656 302567503 345791432 518687148 605135006 691582864 907702509 1037374296 1210270012 1815405018 2074748592 2420540024 3630810036 4841080048 7261620072 14523240144