Search a number
-
+
13949717078336 = 2613107156696139
BaseRepresentation
bin1100101011111110101111…
…1011100110000101000000
31211101120122202201212120112
43022333223323212011000
53312023010033001321
645400224521330452
72636555664515234
oct312775373460500
954346582655515
1013949717078336
114499050693386
121693670036a28
137a25b66b5a70
143632543325c4
15192ce67bea5b
hexcafebee6140

13949717078336 has 56 divisors (see below), whose sum is σ = 30089419587360. Its totient is φ = 6378159601152.

The previous prime is 13949717078329. The next prime is 13949717078359. The reversal of 13949717078336 is 63387071794931.

It is a super-3 number, since 3×139497170783363 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78259046 + ... + 78437093.

It is an arithmetic number, because the mean of its divisors is an integer number (537311064060).

Almost surely, 213949717078336 is an apocalyptic number.

13949717078336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13949717078336 is an abundant number, since it is smaller than the sum of its proper divisors (16139702509024).

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

13949717078336 is a wasteful number, since it uses less digits than its factorization.

13949717078336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156696271 (or 156696261 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 68.

The spelling of 13949717078336 in words is "thirteen trillion, nine hundred forty-nine billion, seven hundred seventeen million, seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 416 428 832 856 1391 1712 2782 3424 5564 6848 11128 22256 44512 89024 156696139 313392278 626784556 1253569112 2037049807 2507138224 4074099614 5014276448 8148199228 10028552896 16296398456 16766486873 32592796912 33532973746 65185593824 67065947492 130371187648 134131894984 217964329349 268263789968 435928658698 536527579936 871857317396 1073055159872 1743714634792 3487429269584 6974858539168 13949717078336