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14524452140 = 2251197823827
BaseRepresentation
bin11011000011011100…
…11000110100101100
31101111020022121122212
431201232120310230
5214221224432030
610401125225552
71022633543342
oct154156306454
941436277585
1014524452140
116183746960
1229942622b8
1314a61759a3
149badd5992
155a01cb595
hex361b98d2c

14524452140 has 96 divisors (see below), whose sum is σ = 33698778624. Its totient is φ = 5214504960.

The previous prime is 14524452127. The next prime is 14524452143. The reversal of 14524452140 is 4125442541.

14524452140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14524452097 and 14524452106.

It is not an unprimeable number, because it can be changed into a prime (14524452143) 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, 17562407 + ... + 17563233.

It is an arithmetic number, because the mean of its divisors is an integer number (351028944).

Almost surely, 214524452140 is an apocalyptic number.

14524452140 is a gapful number since it is divisible by the number (10) 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 14524452140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16849389312).

14524452140 is an abundant number, since it is smaller than the sum of its proper divisors (19174326484).

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

14524452140 is a wasteful number, since it uses less digits than its factorization.

14524452140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 14524452140 its reverse (4125442541), we get a palindrome (18649894681).

It can be divided in two parts, 14524 and 452140, that added together give a palindrome (466664).

The spelling of 14524452140 in words is "fourteen billion, five hundred twenty-four million, four hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 823 827 970 1067 1646 1654 1940 2134 3292 3308 4115 4135 4268 5335 8230 8270 9053 9097 10670 16460 16540 18106 18194 21340 36212 36388 45265 45485 79831 80219 90530 90970 159662 160438 181060 181940 319324 320876 399155 401095 680621 798310 802190 878141 882409 1361242 1596620 1604380 1756282 1764818 2722484 3403105 3512564 3529636 4390705 4412045 6806210 7486831 8781410 8824090 13612420 14973662 17562820 17648180 29947324 37434155 66020237 74868310 132040474 149736620 264080948 330101185 660202370 726222607 1320404740 1452445214 2904890428 3631113035 7262226070 14524452140