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14404401152 = 21129283857
BaseRepresentation
bin11010110101001000…
…11011100000000000
31101011212102101122222
431122210123200000
5214000011314102
610341200150212
71016645250431
oct153244334000
941155371588
1014404401152
1161219aa869
122960008368
1314873317bb
149a90a5488
155948b5aa2
hex35a91b800

14404401152 has 96 divisors (see below), whose sum is σ = 29935105200. Its totient is φ = 6921191424.

The previous prime is 14404401149. The next prime is 14404401197. The reversal of 14404401152 is 25110440441.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16807508 + ... + 16808364.

Almost surely, 214404401152 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 14404401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967552600).

14404401152 is an abundant number, since it is smaller than the sum of its proper divisors (15530704048).

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

14404401152 is an equidigital number, since it uses as much as digits as its factorization.

14404401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 14404401152 its reverse (25110440441), we get a palindrome (39514841593).

The spelling of 14404401152 in words is "fourteen billion, four hundred four million, four hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 283 464 512 566 857 928 1024 1132 1714 1856 2048 2264 3428 3712 4528 6856 7424 8207 9056 13712 14848 16414 18112 24853 27424 29696 32828 36224 49706 54848 59392 65656 72448 99412 109696 131312 144896 198824 219392 242531 262624 289792 397648 438784 485062 525248 579584 795296 877568 970124 1050496 1590592 1755136 1940248 2100992 3181184 3880496 4201984 6362368 7033399 7760992 8403968 12724736 14066798 15521984 16807936 25449472 28133596 31043968 50898944 56267192 62087936 112534384 124175872 225068768 248351744 450137536 496703488 900275072 1800550144 3601100288 7202200576 14404401152