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232144143500424 = 233372279671190947
BaseRepresentation
bin110100110010001001000101…
…001101011100010010001000
31010102221202121111121011210110
4310302021011031130102020
5220411422201214003144
62141421314113114320
766616601200034421
oct6462110515342210
91112852544534713
10232144143500424
1167a71862025541
122205310bb589a0
139c6c1390aa57c
144147b9d4b8648
151bc89066d60b9
hexd3224535c488

232144143500424 has 128 divisors (see below), whose sum is σ = 599291131253760. Its totient is φ = 74880739277568.

The previous prime is 232144143500389. The next prime is 232144143500501. The reversal of 232144143500424 is 424005341441232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194328519 + ... + 195519465.

It is an arithmetic number, because the mean of its divisors is an integer number (4681961962920).

Almost surely, 2232144143500424 is an apocalyptic number.

232144143500424 is a gapful number since it is divisible by the number (24) 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 232144143500424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299645565626880).

232144143500424 is an abundant number, since it is smaller than the sum of its proper divisors (367146987753336).

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

232144143500424 is a wasteful number, since it uses less digits than its factorization.

232144143500424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192187 (or 1192183 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

Adding to 232144143500424 its reverse (424005341441232), we get a palindrome (656149484941656).

The spelling of 232144143500424 in words is "two hundred thirty-two trillion, one hundred forty-four billion, one hundred forty-three million, five hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 227 296 444 454 681 888 908 967 1362 1816 1934 2724 2901 3868 5448 5802 7736 8399 11604 16798 23208 25197 33596 35779 50394 67192 71558 100788 107337 143116 201576 214674 219509 286232 429348 439018 658527 858696 878036 1190947 1317054 1756072 2381894 2634108 3572841 4763788 5268216 7145682 8121833 9527576 14291364 16243666 24365499 28582728 32487332 44065039 48730998 64974664 88130078 97461996 132195117 176260156 194923992 264390234 270344969 352520312 528780468 540689938 811034907 1057560936 1081379876 1151645749 1622069814 2162759752 2303291498 3244139628 3454937247 4606582996 6488279256 6909874494 9213165992 10002763853 13819748988 20005527706 27639497976 30008291559 40011055412 42610892713 60016583118 80022110824 85221785426 120033166236 127832678139 170443570852 240066332472 255665356278 261423585023 340887141704 511330712556 522847170046 784270755069 1022661425112 1045694340092 1568541510138 2091388680184 3137083020276 6274166040552 9672672645851 19345345291702 29018017937553 38690690583404 58036035875106 77381381166808 116072071750212 232144143500424