Search a number
-
+
14552400144 = 2433713162549
BaseRepresentation
bin11011000110110010…
…00000000100010000
31101120011220112010010
431203121000010100
5214300403301034
610404004234520
71023423234402
oct154331000420
941504815103
1014552400144
1161984a5687
1229a169ba40
1314abbac979
149c09ccb72
155a289c3e9
hex363640110

14552400144 has 80 divisors (see below), whose sum is σ = 38905099200. Its totient is φ = 4683594240.

The previous prime is 14552400133. The next prime is 14552400199. The reversal of 14552400144 is 44100425541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201382 + ... + 263930.

It is an arithmetic number, because the mean of its divisors is an integer number (486313740).

Almost surely, 214552400144 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 14552400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452549600).

14552400144 is an abundant number, since it is smaller than the sum of its proper divisors (24352699056).

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

14552400144 is a wasteful number, since it uses less digits than its factorization.

14552400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62728 (or 62722 counting only the distinct ones).

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

Adding to 14552400144 its reverse (44100425541), we get a palindrome (58652825685).

The spelling of 14552400144 in words is "fourteen billion, five hundred fifty-two million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 131 148 222 262 296 393 444 524 592 786 888 1048 1572 1776 2096 3144 4847 6288 9694 14541 19388 29082 38776 58164 62549 77552 116328 125098 187647 232656 250196 375294 500392 750588 1000784 1501176 2314313 3002352 4628626 6942939 8193919 9257252 13885878 16387838 18514504 24581757 27771756 32775676 37029008 49163514 55543512 65551352 98327028 111087024 131102704 196654056 303175003 393308112 606350006 909525009 1212700012 1819050018 2425400024 3638100036 4850800048 7276200072 14552400144