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30432232144 = 2423973072777
BaseRepresentation
bin11100010101111001…
…110000001011010000
32220112212121120102001
4130111321300023100
5444311122412034
621551432203344
72125065463606
oct342571601320
986485546361
1030432232144
11119a7224486
125a93839554
132b3cab0672
1416899dd876
15bd1a57a14
hex715e702d0

30432232144 has 80 divisors (see below), whose sum is σ = 62385257088. Its totient is φ = 14352408576.

The previous prime is 30432232141. The next prime is 30432232183. The reversal of 30432232144 is 44123223403.

It is a super-2 number, since 2×304322321442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30432232141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10957284 + ... + 10960060.

Almost surely, 230432232144 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 30432232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31192628544).

30432232144 is an abundant number, since it is smaller than the sum of its proper divisors (31953024944).

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

30432232144 is a wasteful number, since it uses less digits than its factorization.

30432232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 30432232144 its reverse (44123223403), we get a palindrome (74555455547).

The spelling of 30432232144 in words is "thirty billion, four hundred thirty-two million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 307 368 388 614 776 1228 1552 2231 2456 2777 4462 4912 5554 7061 8924 11108 14122 17848 22216 28244 29779 35696 44432 56488 59558 63871 112976 119116 127742 238232 255484 269369 476464 510968 538738 684917 852539 1021936 1077476 1369834 1705078 2154952 2739668 3410156 4309904 5479336 6195487 6820312 10958672 12390974 13640624 19608397 24781948 39216794 49563896 78433588 82696283 99127792 156867176 165392566 313734352 330785132 661570264 1323140528 1902014509 3804029018 7608058036 15216116072 30432232144