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144873216 = 2832227277
BaseRepresentation
bin10001010001010…
…01011100000000
3101002121022200200
420220221130000
5244041420331
622213045200
73406254615
oct1050513400
9332538620
10144873216
1174860434
1240626800
13240254c7
141535250c
15caba5e6
hex8a29700

144873216 has 108 divisors (see below), whose sum is σ = 421059912. Its totient is φ = 47904768.

The previous prime is 144873191. The next prime is 144873227. The reversal of 144873216 is 612378441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522870 + ... + 523146.

Almost surely, 2144873216 is an apocalyptic number.

144873216 is a gapful number since it is divisible by the number (16) 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 144873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210529956).

144873216 is an abundant number, since it is smaller than the sum of its proper divisors (276186696).

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

144873216 is a wasteful number, since it uses less digits than its factorization.

144873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 144873216 is about 12036.3290084643. The cubic root of 144873216 is about 525.2056228561.

The spelling of 144873216 in words is "one hundred forty-four million, eight hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 227 256 277 288 384 454 554 576 681 768 831 908 1108 1152 1362 1662 1816 2043 2216 2304 2493 2724 3324 3632 4086 4432 4986 5448 6648 7264 8172 8864 9972 10896 13296 14528 16344 17728 19944 21792 26592 29056 32688 35456 39888 43584 53184 58112 62879 65376 70912 79776 87168 106368 125758 130752 159552 174336 188637 212736 251516 261504 319104 377274 503032 523008 565911 638208 754548 1006064 1131822 1509096 2012128 2263644 3018192 4024256 4527288 6036384 8048512 9054576 12072768 16097024 18109152 24145536 36218304 48291072 72436608 144873216