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14209807488 = 2731032771297
BaseRepresentation
bin11010011101111100…
…00111010010000000
31100200022021000100020
431032332013102000
5213100202314423
610310005253440
71012063241112
oct151676072200
940608230306
1014209807488
11603207a758
122906a04280
131455c1b216
1498b2cd3b2
155827784e3
hex34ef87480

14209807488 has 128 divisors (see below), whose sum is σ = 38278331520. Its totient is φ = 4670078976.

The previous prime is 14209807453. The next prime is 14209807489. The reversal of 14209807488 is 88470890241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 14209807488.

It is not an unprimeable number, because it can be changed into a prime (14209807489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10955256 + ... + 10956552.

It is an arithmetic number, because the mean of its divisors is an integer number (299049465).

Almost surely, 214209807488 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 14209807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139165760).

14209807488 is an abundant number, since it is smaller than the sum of its proper divisors (24068524032).

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

14209807488 is a wasteful number, since it uses less digits than its factorization.

14209807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 14209807488 in words is "fourteen billion, two hundred nine million, eight hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 277 309 384 412 554 618 824 831 1108 1236 1297 1648 1662 2216 2472 2594 3296 3324 3891 4432 4944 5188 6592 6648 7782 8864 9888 10376 13184 13296 15564 17728 19776 20752 26592 28531 31128 35456 39552 41504 53184 57062 62256 83008 85593 106368 114124 124512 133591 166016 171186 228248 249024 267182 342372 359269 400773 456496 498048 534364 684744 718538 801546 912992 1068728 1077807 1369488 1437076 1603092 1825984 2137456 2155614 2738976 2874152 3206184 3651968 4274912 4311228 5477952 5748304 6412368 8549824 8622456 10955904 11496608 12824736 17099648 17244912 22993216 25649472 34489824 37004707 45986432 51298944 68979648 74009414 111014121 137959296 148018828 222028242 296037656 444056484 592075312 888112968 1184150624 1776225936 2368301248 3552451872 4736602496 7104903744 14209807488