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14661321348 = 22319591397841
BaseRepresentation
bin11011010011110001…
…00000001010000100
31101211202212021220210
431221320200022010
5220011244240343
610422454555420
71026215114052
oct155170401204
941752767823
1014661321348
116243a2a803
122a12068b70
1314c8627c9b
149d12631d2
155ac215333
hex369e20284

14661321348 has 96 divisors (see below), whose sum is σ = 36888768000. Its totient is φ = 4518097920.

The previous prime is 14661321341. The next prime is 14661321349. The reversal of 14661321348 is 84312316641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14661321341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1865908 + ... + 1873748.

It is an arithmetic number, because the mean of its divisors is an integer number (384258000).

Almost surely, 214661321348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14661321348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18444384000).

14661321348 is an abundant number, since it is smaller than the sum of its proper divisors (22227446652).

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

14661321348 is a wasteful number, since it uses less digits than its factorization.

14661321348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8063 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

Adding to 14661321348 its reverse (84312316641), we get a palindrome (98973637989).

The spelling of 14661321348 in words is "fourteen billion, six hundred sixty-one million, three hundred twenty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 139 177 228 236 278 354 417 556 708 834 1121 1668 2242 2641 3363 4484 5282 6726 7841 7923 8201 10564 13452 15682 15846 16402 23523 24603 31364 31692 32804 47046 49206 94092 98412 148979 155819 297958 311638 446937 462619 467457 595916 623276 893874 925238 934914 1089899 1387857 1787748 1850476 1869828 2179798 2775714 3269697 4359596 5551428 6539394 8789761 13078788 17579522 20708081 26369283 35159044 41416162 52738566 62124243 64304041 82832324 105477132 124248486 128608082 192912123 248496972 257216164 385824246 771648492 1221776779 2443553558 3665330337 4887107116 7330660674 14661321348