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1432324232144 = 241328329383047
BaseRepresentation
bin10100110101111101001…
…011010101001111010000
312001221002010201220221222
4110311331023111033100
5141431400000412034
63014000051104212
7205324221043631
oct24657513251720
95057063656858
101432324232144
11502499763333
121b17165a2068
13a50b5679960
144d4795cd888
15273d0d4512e
hex14d7d2d53d0

1432324232144 has 80 divisors (see below), whose sum is σ = 3009432300672. Its totient is φ = 656480623104.

The previous prime is 1432324232113. The next prime is 1432324232153. The reversal of 1432324232144 is 4412324232341.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17205629 + ... + 17288675.

Almost surely, 21432324232144 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 1432324232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504716150336).

1432324232144 is an abundant number, since it is smaller than the sum of its proper divisors (1577108068528).

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

1432324232144 is a wasteful number, since it uses less digits than its factorization.

1432324232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83644 (or 83638 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 1432324232144 its reverse (4412324232341), we get a palindrome (5844648464485).

The spelling of 1432324232144 in words is "one trillion, four hundred thirty-two billion, three hundred twenty-four million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 283 293 566 586 1132 1172 2264 2344 3679 3809 4528 4688 7358 7618 14716 15236 29432 30472 58864 60944 82919 83047 165838 166094 331676 332188 663352 664376 1077947 1079611 1326704 1328752 2155894 2159222 4311788 4318444 8623576 8636888 17247152 17273776 23502301 24332771 47004602 48665542 94009204 97331084 188018408 194662168 305529913 316326023 376036816 389324336 611059826 632652046 1222119652 1265304092 2444239304 2530608184 4888478608 5061216368 6886174193 13772348386 27544696772 55089393544 89520264509 110178787088 179040529018 358081058036 716162116072 1432324232144