Search a number
-
+
35022145440 = 253572962803
BaseRepresentation
bin100000100111011110…
…111000011110100000
310100101202100022202210
4200213132320132200
51033211132123230
624031114042120
72346611216202
oct404736703640
9110352308683
1035022145440
11139420a7257
126954a19340
1333c19a87a9
1419a3432772
15d9e9a6eb0
hex8277b87a0

35022145440 has 48 divisors (see below), whose sum is σ = 110319759648. Its totient is φ = 9339238656.

The previous prime is 35022145399. The next prime is 35022145469. The reversal of 35022145440 is 4454122053.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 35022145398 and 35022145407.

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, 36480922 + ... + 36481881.

It is an arithmetic number, because the mean of its divisors is an integer number (2298328326).

Almost surely, 235022145440 is an apocalyptic number.

35022145440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35022145440 is an abundant number, since it is smaller than the sum of its proper divisors (75297614208).

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

35022145440 is a wasteful number, since it uses less digits than its factorization.

35022145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72962821 (or 72962813 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 35022145440 its reverse (4454122053), we get a palindrome (39476267493).

The spelling of 35022145440 in words is "thirty-five billion, twenty-two million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 72962803 145925606 218888409 291851212 364814015 437776818 583702424 729628030 875553636 1094442045 1167404848 1459256060 1751107272 2188884090 2334809696 2918512120 3502214544 4377768180 5837024240 7004429088 8755536360 11674048480 17511072720 35022145440