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5354351440 = 24573916841
BaseRepresentation
bin1001111110010010…
…01110101101010000
3111211011011020100121
410333021032231100
541431203221230
62243150200024
7246454144024
oct47711165520
914734136317
105354351440
1122a8434539
1210551b3014
136743a95b9
1438b182384
152150ee77a
hex13f24eb50

5354351440 has 40 divisors (see below), whose sum is σ = 12619413288. Its totient is φ = 2112399360.

The previous prime is 5354351407. The next prime is 5354351459. The reversal of 5354351440 is 441534535.

It can be written as a sum of positive squares in 4 ways, for example, as 447068736 + 4907282704 = 21144^2 + 70052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 5354351396 and 5354351405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452581 + ... + 464260.

Almost surely, 25354351440 is an apocalyptic number.

It is an amenable number.

5354351440 is an abundant number, since it is smaller than the sum of its proper divisors (7265061848).

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

5354351440 is a wasteful number, since it uses less digits than its factorization.

5354351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916927 (or 916921 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 5354351440 is about 73173.4339770931. The cubic root of 5354351440 is about 1749.4530470298.

Adding to 5354351440 its reverse (441534535), we get a palindrome (5795885975).

The spelling of 5354351440 in words is "five billion, three hundred fifty-four million, three hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 916841 1833682 3667364 4584205 7334728 9168410 14669456 18336820 36673640 66929393 73347280 133858786 267717572 334646965 535435144 669293930 1070870288 1338587860 2677175720 5354351440