Search a number
-
+
14004454152 = 2331353978731
BaseRepresentation
bin11010000101011101…
…10000001100001000
31100010222211222112010
431002232300030020
5212140120013102
610233352015520
71004020616253
oct150256601410
940128758463
1014004454152
115a37170757
12286a0915a0
13142250b380
1496bd1609a
1556e712d6c
hex342bb0308

14004454152 has 128 divisors (see below), whose sum is σ = 38816184960. Its totient is φ = 4183695360.

The previous prime is 14004454151. The next prime is 14004454159. The reversal of 14004454152 is 25145440041.

It is a super-2 number, since 2×140044541522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004454151) 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 31 ways as a sum of consecutive naturals, for example, 1599627 + ... + 1608357.

It is an arithmetic number, because the mean of its divisors is an integer number (303251445).

Almost surely, 214004454152 is an apocalyptic number.

14004454152 is a gapful number since it is divisible by the number (12) 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 14004454152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408092480).

14004454152 is an abundant number, since it is smaller than the sum of its proper divisors (24811730808).

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

14004454152 is a wasteful number, since it uses less digits than its factorization.

14004454152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14004454152 its reverse (25145440041), we get a palindrome (39149894193).

The spelling of 14004454152 in words is "fourteen billion, four million, four hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 97 104 106 156 159 194 212 291 312 318 388 424 582 636 689 776 1164 1261 1272 1378 2067 2328 2522 2756 3783 4134 5044 5141 5512 7566 8268 8731 10088 10282 15132 15423 16536 17462 20564 26193 30264 30846 34924 41128 52386 61692 66833 69848 104772 113503 123384 133666 200499 209544 227006 267332 340509 400998 454012 462743 534664 681018 801996 846907 908024 925486 1362036 1388229 1603992 1693814 1850972 2540721 2724072 2776458 3387628 3701944 5081442 5552916 6015659 6775256 10162884 11009791 11105832 12031318 18046977 20325768 22019582 24062636 33029373 36093954 44039164 44886071 48125272 66058746 72187908 88078328 89772142 132117492 134658213 144375816 179544284 264234984 269316426 359088568 538632852 583518923 1077265704 1167037846 1750556769 2334075692 3501113538 4668151384 7002227076 14004454152