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4102232031232 = 2148312723753
BaseRepresentation
bin111011101100100000000…
…101010100000000000000
3112112011120121021222102021
4323230200011110000000
51014202332344444412
612420312301131224
7602243063636236
oct73544005240000
915464517258367
104102232031232
111341824044885
12563059259b14
13239ab9b731ca
141027989b8956
1571a9613c607
hex3bb20154000

4102232031232 has 120 divisors (see below), whose sum is σ = 8368790363136. Its totient is φ = 2010363199488.

The previous prime is 4102232031229. The next prime is 4102232031257. The reversal of 4102232031232 is 2321302322014.

It is a junction number, because it is equal to n+sod(n) for n = 4102232031197 and 4102232031206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172691868 + ... + 172715620.

Almost surely, 24102232031232 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 4102232031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184395181568).

4102232031232 is an abundant number, since it is smaller than the sum of its proper divisors (4266558331904).

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

4102232031232 is an equidigital number, since it uses as much as digits as its factorization.

4102232031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23965 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4102232031232 its reverse (2321302322014), we get a palindrome (6423534353246).

The spelling of 4102232031232 in words is "four trillion, one hundred two billion, two hundred thirty-two million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 127 128 166 254 256 332 508 512 664 1016 1024 1328 2032 2048 2656 4064 4096 5312 8128 8192 10541 10624 16256 16384 21082 21248 23753 32512 42164 42496 47506 65024 84328 84992 95012 130048 168656 169984 190024 260096 337312 339968 380048 520192 674624 679936 760096 1040384 1349248 1359872 1520192 1971499 2080768 2698496 3016631 3040384 3942998 5396992 6033262 6080768 7885996 10793984 12066524 12161536 15771992 21587968 24133048 24323072 31543984 43175936 48266096 48646144 63087968 86351872 96532192 97292288 126175936 172703744 193064384 194584576 250380373 252351872 386128768 389169152 500760746 504703744 772257536 1001521492 1009407488 1544515072 2003042984 2018814976 3089030144 4006085968 4037629952 6178060288 8012171936 8075259904 12356120576 16024343872 16150519808 24712241152 32048687744 32301039616 49424482304 64097375488 128194750976 256389501952 512779003904 1025558007808 2051116015616 4102232031232