Search a number
-
+
14350837104 = 24321910948121
BaseRepresentation
bin11010101110110000…
…00110010101110000
31101001010122001121100
431113120012111300
5213342303241404
610332004124400
71015425050142
oct152730062560
941033561540
1014350837104
1160a474535a
122946096700
1314791c90b6
149a1d20c92
1558ed34d39
hex357606570

14350837104 has 120 divisors (see below), whose sum is σ = 42664965200. Its totient is φ = 4490173440.

The previous prime is 14350837103. The next prime is 14350837139. The reversal of 14350837104 is 40173805341.

It is a happy number.

14350837104 is a `hidden beast` number, since 1 + 43 + 508 + 3 + 7 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14350837103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274164 + ... + 322284.

Almost surely, 214350837104 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 14350837104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332482600).

14350837104 is an abundant number, since it is smaller than the sum of its proper divisors (28314128096).

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

14350837104 is a wasteful number, since it uses less digits than its factorization.

14350837104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48263 (or 48254 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14350837104 in words is "fourteen billion, three hundred fifty million, eight hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 456 654 684 872 912 981 1308 1368 1744 1962 2071 2616 2736 3924 4142 5232 6213 7848 8284 12426 15696 16568 18639 24852 33136 37278 48121 49704 74556 96242 99408 144363 149112 192484 288726 298224 384968 433089 577452 769936 866178 914299 1154904 1732356 1828598 2309808 2742897 3464712 3657196 5245189 5485794 6929424 7314392 8228691 10490378 10971588 14628784 15735567 16457382 20980756 21943176 31471134 32914764 41961512 43886352 47206701 62942268 65829528 83923024 94413402 99658591 125884536 131659056 188826804 199317182 251769072 298975773 377653608 398634364 597951546 755307216 797268728 896927319 1195903092 1594537456 1793854638 2391806184 3587709276 4783612368 7175418552 14350837104