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11234223402400 = 255280691740337
BaseRepresentation
bin1010001101111010101111…
…1001010010110110100000
31110202222111100022100010001
42203132223321102312200
52433030142142334100
635520533031545344
72236434346226605
oct243365371226640
943688440270101
1011234223402400
113641453264949
12131532682b254
136364c8ab8c9b
142aba4c96a6ac
1514736440ad6a
hexa37abe52da0

11234223402400 has 72 divisors (see below), whose sum is σ = 27428962519980. Its totient is φ = 4493129871360.

The previous prime is 11234223402371. The next prime is 11234223402469. The reversal of 11234223402400 is 420432243211.

It can be written as a sum of positive squares in 6 ways, for example, as 4102909518096 + 7131313884304 = 2025564^2 + 2670452^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5585032 + ... + 7325368.

Almost surely, 211234223402400 is an apocalyptic number.

11234223402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11234223402400 is an abundant number, since it is smaller than the sum of its proper divisors (16194739117580).

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

11234223402400 is a wasteful number, since it uses less digits than its factorization.

11234223402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748426 (or 1748413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 11234223402400 its reverse (420432243211), we get a palindrome (11654655645611).

The spelling of 11234223402400 in words is "eleven trillion, two hundred thirty-four billion, two hundred twenty-three million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8069 16138 32276 40345 64552 80690 129104 161380 201725 258208 322760 403450 645520 806900 1291040 1613800 1740337 3227600 3480674 6455200 6961348 8701685 13922696 17403370 27845392 34806740 43508425 55690784 69613480 87016850 139226960 174033700 278453920 348067400 696134800 1392269600 14042779253 28085558506 56171117012 70213896265 112342234024 140427792530 224684468048 280855585060 351069481325 449368936096 561711170120 702138962650 1123422340240 1404277925300 2246844680480 2808555850600 5617111701200 11234223402400