Search a number
-
+
14228541216 = 253337445087
BaseRepresentation
bin11010100000001011…
…00100111100100000
31100201121111210012000
431100011210330200
5213120001304331
610311515004000
71012411414311
oct152005447440
940647453160
1014228541216
11604170567a
122911139600
131459a7a176
1498d9a8608
155842290e6
hex350164f20

14228541216 has 96 divisors (see below), whose sum is σ = 42621626880. Its totient is φ = 4614651648.

The previous prime is 14228541211. The next prime is 14228541227. The reversal of 14228541216 is 61214582241.

14228541216 is a `hidden beast` number, since 1 + 4 + 228 + 5 + 412 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (14228541211) 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 15 ways as a sum of consecutive naturals, for example, 190576 + ... + 254511.

It is an arithmetic number, because the mean of its divisors is an integer number (443975280).

Almost surely, 214228541216 is an apocalyptic number.

14228541216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14228541216 is an abundant number, since it is smaller than the sum of its proper divisors (28393085664).

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

14228541216 is a wasteful number, since it uses less digits than its factorization.

14228541216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445143 (or 445129 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 14228541216 in words is "fourteen billion, two hundred twenty-eight million, five hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 15984 31968 445087 890174 1335261 1780348 2670522 3560696 4005783 5341044 7121392 8011566 10682088 12017349 14242784 16023132 16468219 21364176 24034698 32046264 32936438 42728352 48069396 49404657 64092528 65872876 96138792 98809314 128185056 131745752 148213971 192277584 197618628 263491504 296427942 384555168 395237256 444641913 526983008 592855884 790474512 889283826 1185711768 1580949024 1778567652 2371423536 3557135304 4742847072 7114270608 14228541216