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35435334040 = 23541179120709
BaseRepresentation
bin100001000000000111…
…000100100110011000
310101110112211110222021
4201000013010212120
51040032421142130
624140114104224
72363056240531
oct410007044630
9111415743867
1035435334040
111403435aa37
126a4b27b074
1334594870a2
141a0226b688
15dc5dc337a
hex8401c4998

35435334040 has 64 divisors (see below), whose sum is σ = 82131084000. Its totient is φ = 13751055360.

The previous prime is 35435334037. The next prime is 35435334049. The reversal of 35435334040 is 4043353453.

It is a junction number, because it is equal to n+sod(n) for n = 35435333987 and 35435334005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35435334049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233206 + ... + 353914.

Almost surely, 235435334040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35435334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065542000).

35435334040 is an abundant number, since it is smaller than the sum of its proper divisors (46695749960).

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

35435334040 is a wasteful number, since it uses less digits than its factorization.

35435334040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120940 (or 120936 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 34.

Adding to 35435334040 its reverse (4043353453), we get a palindrome (39478687493).

The spelling of 35435334040 in words is "thirty-five billion, four hundred thirty-five million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 179 205 328 358 410 716 820 895 1432 1640 1790 3580 7160 7339 14678 29356 36695 58712 73390 120709 146780 241418 293560 482836 603545 965672 1207090 2414180 4828360 4949069 9898138 19796276 21606911 24745345 39592552 43213822 49490690 86427644 98981380 108034555 172855288 197962760 216069110 432138220 864276440 885883351 1771766702 3543533404 4429416755 7087066808 8858833510 17717667020 35435334040