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35055204240 = 2435731221713
BaseRepresentation
bin100000101001011100…
…111111011110010000
310100111001112212220210
4200221130333132100
51033243113013430
624034254404120
72350462214430
oct405134773620
9110431485823
1035055204240
1113959826881
126963b00640
1333c87b1b04
1419a799a2c0
15da28372b0
hex82973f790

35055204240 has 240 divisors, whose sum is σ = 128337035904. Its totient is φ = 7753789440.

The previous prime is 35055204179. The next prime is 35055204251. The reversal of 35055204240 is 4240255053.

35055204240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×350552042402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35055204198 and 35055204207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603624 + ... + 1625336.

Almost surely, 235055204240 is an apocalyptic number.

35055204240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35055204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64168517952).

35055204240 is an abundant number, since it is smaller than the sum of its proper divisors (93281831664).

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

35055204240 is a wasteful number, since it uses less digits than its factorization.

35055204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21798 (or 21761 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 35055204240 its reverse (4240255053), we get a palindrome (39295459293).

The spelling of 35055204240 in words is "thirty-five billion, fifty-five million, two hundred four thousand, two hundred forty".