Search a number
-
+
14840855184 = 2433111178929
BaseRepresentation
bin11011101001001010…
…10111101010010000
31102022021200120001010
431310211113222100
5220343224331214
610452351010520
71033525121241
oct156445275220
942267616033
1014840855184
116326304181
122a62209a40
13152689791c
14a0b038cc8
155bcd7a659
hex374957a90

14840855184 has 80 divisors (see below), whose sum is σ = 39615480320. Its totient is φ = 4782551040.

The previous prime is 14840855147. The next prime is 14840855189. The reversal of 14840855184 is 48155804841.

14840855184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14840855189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657632 + ... + 1666560.

It is an arithmetic number, because the mean of its divisors is an integer number (495193504).

Almost surely, 214840855184 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 14840855184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807740160).

14840855184 is an abundant number, since it is smaller than the sum of its proper divisors (24774625136).

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

14840855184 is a wasteful number, since it uses less digits than its factorization.

14840855184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10082 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The spelling of 14840855184 in words is "fourteen billion, eight hundred forty million, eight hundred fifty-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1117 1488 2234 3351 4468 6702 8929 8936 13404 17858 17872 26787 26808 34627 35716 53574 53616 69254 71432 103881 107148 138508 142864 207762 214296 276799 277016 415524 428592 553598 554032 830397 831048 1107196 1660794 1662096 2214392 3321588 4428784 6643176 9973693 13286352 19947386 29921079 39894772 59842158 79789544 119684316 159579088 239368632 309184483 478737264 618368966 927553449 1236737932 1855106898 2473475864 3710213796 4946951728 7420427592 14840855184