Search a number
-
+
14879913384 = 23371919932339
BaseRepresentation
bin11011101101110100…
…10111010110101000
31102102000011220211010
431312322113112220
5220433224212014
610500304103520
71034511114450
oct156672272650
942360156733
1014879913384
116346361186
122a73304ba0
1315319c189b
14a122c4d60
155c14e3359
hex376e975a8

14879913384 has 128 divisors (see below), whose sum is σ = 44793216000. Its totient is φ = 4023903744.

The previous prime is 14879913383. The next prime is 14879913407. The reversal of 14879913384 is 48331997841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (14879913383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6360487 + ... + 6362825.

It is an arithmetic number, because the mean of its divisors is an integer number (349947000).

Almost surely, 214879913384 is an apocalyptic number.

14879913384 is a gapful number since it is divisible by the number (14) 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 14879913384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22396608000).

14879913384 is an abundant number, since it is smaller than the sum of its proper divisors (29913302616).

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

14879913384 is a wasteful number, since it uses less digits than its factorization.

14879913384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4363 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 14879913384 in words is "fourteen billion, eight hundred seventy-nine million, nine hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 1993 2339 3192 3986 4678 5979 7017 7972 9356 11958 13951 14034 15944 16373 18712 23916 27902 28068 32746 37867 41853 44441 47832 49119 55804 56136 65492 75734 83706 88882 98238 111608 113601 130984 133323 151468 167412 177764 196476 227202 265069 266646 302936 311087 334824 355528 392952 454404 530138 533292 622174 795207 908808 933261 1060276 1066584 1244348 1590414 1866522 2120552 2488696 3180828 3733044 4661627 6361656 7466088 9323254 13984881 18646508 27969762 32631389 37293016 55939524 65262778 88570913 97894167 111879048 130525556 177141826 195788334 261051112 265712739 354283652 391576668 531425478 619996391 708567304 783153336 1062850956 1239992782 1859989173 2125701912 2479985564 3719978346 4959971128 7439956692 14879913384