Search a number
-
+
21522401130144 = 253277073809143
BaseRepresentation
bin1001110010011000100110…
…00100101111011010100000
32211012112002010202221222010
410321030103010233122200
510310110334142131034
6113435130553512520
74350641110065525
oct471142304573240
984175063687863
1021522401130144
116948665394022
1224b7228712740
13c01727698125
14545992a4514c
15274ca8b973e9
hex13931312f6a0

21522401130144 has 48 divisors (see below), whose sum is σ = 56496576693312. Its totient is φ = 7174098951168.

The previous prime is 21522401130137. The next prime is 21522401130149. The reversal of 21522401130144 is 44103110422512.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (21522401130149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26194437 + ... + 27003579.

It is an arithmetic number, because the mean of its divisors is an integer number (1177012014444).

Almost surely, 221522401130144 is an apocalyptic number.

21522401130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21522401130144 is an abundant number, since it is smaller than the sum of its proper divisors (34974175563168).

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

21522401130144 is a wasteful number, since it uses less digits than its factorization.

21522401130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086229 (or 1086221 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 21522401130144 its reverse (44103110422512), we get a palindrome (65625511552656).

The spelling of 21522401130144 in words is "twenty-one trillion, five hundred twenty-two billion, four hundred one million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 277073 554146 809143 831219 1108292 1618286 1662438 2216584 2427429 3236572 3324876 4433168 4854858 6473144 6649752 8866336 9709716 12946288 13299504 19419432 25892576 26599008 38838864 77677728 224191678439 448383356878 672575035317 896766713756 1345150070634 1793533427512 2690300141268 3587066855024 5380600282536 7174133710048 10761200565072 21522401130144