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235403551013440 = 265832738834029
BaseRepresentation
bin110101100001100100101001…
…000010010111101001000000
31010212111100201012212111010211
4311201210221002113221000
5221323322433024412230
62152354522020003504
7100404226304545105
oct6541445102275100
91125440635774124
10235403551013440
11690090a3653207
122249a950b30594
13a1475c89bb7b4
14421b842396aac
151c335beaba42a
hexd61929097a40

235403551013440 has 56 divisors (see below), whose sum is σ = 560561500835640. Its totient is φ = 94160278990848.

The previous prime is 235403551013401. The next prime is 235403551013471. The reversal of 235403551013440 is 44310155304532.

It can be written as a sum of positive squares in 4 ways, for example, as 382141566976 + 235021409446464 = 618176^2 + 15330408^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 235403551013393 and 235403551013402.

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, 22230346 + ... + 31064374.

Almost surely, 2235403551013440 is an apocalyptic number.

235403551013440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235403551013440 is an abundant number, since it is smaller than the sum of its proper divisors (325157949822200).

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

235403551013440 is an equidigital number, since it uses as much as digits as its factorization.

235403551013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8917319 (or 8917309 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 235403551013440 in words is "two hundred thirty-five trillion, four hundred three billion, five hundred fifty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 83273 166546 333092 416365 666184 832730 1332368 1665460 2664736 3330920 5329472 6661840 8834029 13323680 17668058 26647360 35336116 44170145 70672232 88340290 141344464 176680580 282688928 353361160 565377856 706722320 1413444640 2826889280 735636096917 1471272193834 2942544387668 3678180484585 5885088775336 7356360969170 11770177550672 14712721938340 23540355101344 29425443876680 47080710202688 58850887753360 117701775506720 235403551013440