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14522260240 = 245376180429
BaseRepresentation
bin11011000011001100…
…00001101100010000
31101111002012020221101
431201212001230100
5214220144311430
610401010234144
71022606114065
oct154146015420
941432166841
1014522260240
11618248a074
122993585954
1314a58890c7
149ba9c4c6c
1559ede6dca
hex361981b10

14522260240 has 80 divisors (see below), whose sum is σ = 35245712880. Its totient is φ = 5559183360.

The previous prime is 14522260213. The next prime is 14522260271. The reversal of 14522260240 is 4206222541.

It can be written as a sum of positive squares in 8 ways, for example, as 2155930624 + 12366329616 = 46432^2 + 111204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14522260199 and 14522260208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140346 + ... + 220774.

It is an arithmetic number, because the mean of its divisors is an integer number (440571411).

Almost surely, 214522260240 is an apocalyptic number.

14522260240 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 14522260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622856440).

14522260240 is an abundant number, since it is smaller than the sum of its proper divisors (20723452640).

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

14522260240 is a wasteful number, since it uses less digits than its factorization.

14522260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80540 (or 80534 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 14522260240 its reverse (4206222541), we get a palindrome (18728482781).

The spelling of 14522260240 in words is "fourteen billion, five hundred twenty-two million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1480 2257 2440 2960 4514 4880 9028 11285 18056 22570 36112 45140 80429 90280 160858 180560 321716 402145 643432 804290 1286864 1608580 2975873 3217160 4906169 5951746 6434320 9812338 11903492 14879365 19624676 23806984 24530845 29758730 39249352 47613968 49061690 59517460 78498704 98123380 119034920 181528253 196246760 238069840 363056506 392493520 726113012 907641265 1452226024 1815282530 2904452048 3630565060 7261130120 14522260240