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14396449816 = 2372959347433
BaseRepresentation
bin11010110100001100…
…00110010000011000
31101011022110102111001
431122012012100120
5213440442343231
610340313514344
71016520542620
oct153206062030
941138412431
1014396449816
116118469911
1229594129b4
1314857a9578
149a7dd5880
15593d44b61
hex35a186418

14396449816 has 128 divisors (see below), whose sum is σ = 32622912000. Its totient is φ = 5825820672.

The previous prime is 14396449799. The next prime is 14396449819. The reversal of 14396449816 is 61894469341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14396449819) 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, 33247936 + ... + 33248368.

It is an arithmetic number, because the mean of its divisors is an integer number (254866500).

Almost surely, 214396449816 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 14396449816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16311456000).

14396449816 is an abundant number, since it is smaller than the sum of its proper divisors (18226462184).

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

14396449816 is a wasteful number, since it uses less digits than its factorization.

14396449816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 877 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 14396449816 in words is "fourteen billion, three hundred ninety-six million, four hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 59 116 118 203 232 236 347 406 413 433 472 694 812 826 866 1388 1624 1652 1711 1732 2429 2776 3031 3304 3422 3464 4858 6062 6844 9716 10063 11977 12124 12557 13688 19432 20126 20473 23954 24248 25114 25547 40252 40946 47908 50228 51094 70441 80504 81892 87899 95816 100456 102188 140882 143311 150251 163784 175798 178829 204376 281764 286622 300502 351596 357658 563528 573244 593717 601004 703192 715316 740863 1051757 1146488 1187434 1202008 1430632 1481726 2103514 2374868 2963452 4156019 4207028 4357279 4749736 5186041 5926904 8312038 8414056 8714558 8864809 10372082 16624076 17429116 17729618 20744164 30500953 33248152 34858232 35459236 41488328 61001906 62053663 70918472 122003812 124107326 244007624 248214652 257079461 496429304 514158922 1028317844 1799556227 2056635688 3599112454 7198224908 14396449816