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144400432302 = 2327328183233
BaseRepresentation
bin1000011001111011101…
…1111011110010101110
3111210201111220000001100
42012132323323302232
54331213002313202
6150200414223530
713301243265000
oct2063673736256
9453644800040
10144400432302
1156270309055
1223b9b4b4ba6
13108034469a9
146dbbc1a370
153b521e341c
hex219eefbcae

144400432302 has 96 divisors (see below), whose sum is σ = 366163012800. Its totient is φ = 41109949440.

The previous prime is 144400432271. The next prime is 144400432303. The reversal of 144400432302 is 203234004441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144400432303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693278 + ... + 1776510.

It is an arithmetic number, because the mean of its divisors is an integer number (3814198050).

Almost surely, 2144400432302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144400432302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183081506400).

144400432302 is an abundant number, since it is smaller than the sum of its proper divisors (221762580498).

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

144400432302 is a wasteful number, since it uses less digits than its factorization.

144400432302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83543 (or 83526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 144400432302 its reverse (203234004441), we get a palindrome (347634436743).

The spelling of 144400432302 in words is "one hundred forty-four billion, four hundred million, four hundred thirty-two thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 281 294 343 441 562 686 843 882 1029 1686 1967 2058 2529 3087 3934 5058 5901 6174 11802 13769 17703 27538 35406 41307 82614 83233 96383 123921 166466 192766 247842 249699 289149 499398 578298 582631 749097 867447 1165262 1498194 1734894 1747893 3495786 4078417 5243679 8156834 10487358 12235251 23388473 24470502 28548919 36705753 46776946 57097838 70165419 73411506 85646757 140330838 163719311 171293514 210496257 256940271 327438622 420992514 491157933 513880542 982315866 1146035177 1473473799 2292070354 2946947598 3438105531 6876211062 8022246239 10314316593 16044492478 20628633186 24066738717 48133477434 72200216151 144400432302