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235143404032 = 293716017753
BaseRepresentation
bin1101101011111110100…
…0111001101000000000
3211110221112210120210011
43122333220321220000
512323033202412112
6300005015114304
722663033645615
oct3327750715000
9743845716704
10235143404032
11907a6359869
12396a5072994
13192351726c4
14b54967a50c
1561b38ceaa7
hex36bfa39a00

235143404032 has 80 divisors (see below), whose sum is σ = 482889251592. Its totient is φ = 114307891200.

The previous prime is 235143404011. The next prime is 235143404059. The reversal of 235143404032 is 230404341532.

It is a happy number.

235143404032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 168546375936 + 66597028096 = 410544^2 + 258064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 235143403985 and 235143404003.

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 7 ways as a sum of consecutive naturals, for example, 30325468 + ... + 30333220.

Almost surely, 2235143404032 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 235143404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241444625796).

235143404032 is an abundant number, since it is smaller than the sum of its proper divisors (247745847560).

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

235143404032 is an equidigital number, since it uses as much as digits as its factorization.

235143404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 235143404032 its reverse (230404341532), we get a palindrome (465547745564).

The spelling of 235143404032 in words is "two hundred thirty-five billion, one hundred forty-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 1601 2368 3202 4736 6404 7753 9472 12808 15506 18944 25616 31012 51232 59237 62024 102464 118474 124048 204928 236948 248096 286861 409856 473896 496192 573722 819712 947792 992384 1147444 1895584 1984768 2294888 3791168 3969536 4589776 7582336 9179552 12412553 15164672 18359104 24825106 30329344 36718208 49650212 73436416 99300424 146872832 198600848 397201696 459264461 794403392 918528922 1588806784 1837057844 3177613568 3674115688 6355227136 7348231376 14696462752 29392925504 58785851008 117571702016 235143404032