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5435441440 = 2551113237563
BaseRepresentation
bin1010000111111101…
…00100000100100000
3112000210202000220221
411003332210010200
542112433111230
62255204212424
7251460330022
oct50376440440
915023660827
105435441440
11233a18a670
12107839a114
1368812bb50
14397c50012
1521c2bb27a
hex143fa4120

5435441440 has 96 divisors (see below), whose sum is σ = 15086264256. Its totient is φ = 1824476160.

The previous prime is 5435441411. The next prime is 5435441461. The reversal of 5435441440 is 441445345.

It is a junction number, because it is equal to n+sod(n) for n = 5435441396 and 5435441405.

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 15 ways as a sum of consecutive naturals, for example, 95902 + ... + 141661.

It is an arithmetic number, because the mean of its divisors is an integer number (157148586).

Almost surely, 25435441440 is an apocalyptic number.

It is an amenable number.

5435441440 is an abundant number, since it is smaller than the sum of its proper divisors (9650822816).

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

5435441440 is a wasteful number, since it uses less digits than its factorization.

5435441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237602 (or 237594 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 5435441440 is about 73725.4463533453. The cubic root of 5435441440 is about 1758.2404763873.

Adding to 5435441440 its reverse (441445345), we get a palindrome (5876886785).

The spelling of 5435441440 in words is "five billion, four hundred thirty-five million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 237563 475126 950252 1187815 1900504 2375630 2613193 3088319 3801008 4751260 5226386 6176638 7602016 9502520 10452772 12353276 13065965 15441595 19005040 20905544 24706552 26131930 30883190 33971509 38010080 41811088 49413104 52263860 61766380 67943018 83622176 98826208 104527720 123532760 135886036 169857545 209055440 247065520 271772072 339715090 418110880 494131040 543544144 679430180 1087088288 1358860360 2717720720 5435441440