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144172426400 = 2552612954353
BaseRepresentation
bin1000011001000101011…
…0001010010010100000
3111210010121212002202022
42012101112022102200
54330231120121100
6150122031241012
713262504255522
oct2062126122240
9453117762668
10144172426400
1156163637922
1223b37079168
1310798135262
146d99827a12
153b3c1a5e85
hex219158a4a0

144172426400 has 72 divisors (see below), whose sum is σ = 357730908444. Its totient is φ = 56723558400.

The previous prime is 144172426397. The next prime is 144172426469. The reversal of 144172426400 is 4624271441.

It can be written as a sum of positive squares in 6 ways, for example, as 52113584656 + 92058841744 = 228284^2 + 303412^2 .

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 11 ways as a sum of consecutive naturals, for example, 1428377 + ... + 1525976.

Almost surely, 2144172426400 is an apocalyptic number.

144172426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144172426400 is an abundant number, since it is smaller than the sum of its proper divisors (213558482044).

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

144172426400 is a wasteful number, since it uses less digits than its factorization.

144172426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954434 (or 2954421 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

Adding to 144172426400 its reverse (4624271441), we get a palindrome (148796697841).

The spelling of 144172426400 in words is "one hundred forty-four billion, one hundred seventy-two million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 80 100 122 160 200 244 305 400 488 610 800 976 1220 1525 1952 2440 3050 4880 6100 9760 12200 24400 48800 2954353 5908706 11817412 14771765 23634824 29543530 47269648 59087060 73858825 94539296 118174120 147717650 180215533 236348240 295435300 360431066 472696480 590870600 720862132 901077665 1181741200 1441724264 1802155330 2363482400 2883448528 3604310660 4505388325 5766897056 7208621320 9010776650 14417242640 18021553300 28834485280 36043106600 72086213200 144172426400