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432234142144 = 2671950779387
BaseRepresentation
bin1100100101000110010…
…10011001100111000000
31112022200010210110020021
412102203022121213000
524040203420022034
6530322101423224
743141110405550
oct6224312314700
91468603713207
10432234142144
111573449a54a2
126b92a40ab14
13319b482a22c
1416cc5215160
15b39b7356b4
hex64a32999c0

432234142144 has 56 divisors (see below), whose sum is σ = 1031837164160. Its totient is φ = 175493558016.

The previous prime is 432234142121. The next prime is 432234142157. The reversal of 432234142144 is 441241432234.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25381182 + ... + 25398205.

Almost surely, 2432234142144 is an apocalyptic number.

It is an amenable number.

432234142144 is an abundant number, since it is smaller than the sum of its proper divisors (599603022016).

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

432234142144 is a wasteful number, since it uses less digits than its factorization.

432234142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50779425 (or 50779415 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 432234142144 its reverse (441241432234), we get a palindrome (873475574378).

The spelling of 432234142144 in words is "four hundred thirty-two billion, two hundred thirty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 50779387 101558774 203117548 355455709 406235096 710911418 812470192 964808353 1421822836 1624940384 1929616706 2843645672 3249880768 3859233412 5687291344 6753658471 7718466824 11374582688 13507316942 15436933648 22749165376 27014633884 30873867296 54029267768 61747734592 108058535536 216117071072 432234142144