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35152144040 = 2351367600277
BaseRepresentation
bin100000101111001110…
…110010011010101000
310100201210221221022202
4200233032302122220
51033442422102130
624052040235332
72353050202646
oct405716623250
9110653857282
1035152144040
11139a9518112
12699046bb48
1334128c3740
1419b67d2196
15dab0d5145
hex82f3b26a8

35152144040 has 32 divisors (see below), whose sum is σ = 85176350280. Its totient is φ = 12979252992.

The previous prime is 35152144033. The next prime is 35152144057. The reversal of 35152144040 is 4044125153.

It can be written as a sum of positive squares in 4 ways, for example, as 19193885764 + 15958258276 = 138542^2 + 126326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35152143994 and 35152144012.

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, 33799619 + ... + 33800658.

Almost surely, 235152144040 is an apocalyptic number.

It is an amenable number.

35152144040 is an abundant number, since it is smaller than the sum of its proper divisors (50024206240).

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

35152144040 is a wasteful number, since it uses less digits than its factorization.

35152144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67600301 (or 67600297 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 35152144040 its reverse (4044125153), we get a palindrome (39196269193).

The spelling of 35152144040 in words is "thirty-five billion, one hundred fifty-two million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 67600277 135200554 270401108 338001385 540802216 676002770 878803601 1352005540 1757607202 2704011080 3515214404 4394018005 7030428808 8788036010 17576072020 35152144040