Search a number
-
+
35442426640 = 2454320814951
BaseRepresentation
bin100001000000100010…
…001000001100010000
310101111001011211012011
4201000202020030100
51040041230123030
624140530112304
72363203440625
oct410042101420
9111431154164
1035442426640
1114038364795
126a5171b694
13345aa9b4aa
141a0319634c
15dc6824b2a
hex840888310

35442426640 has 80 divisors (see below), whose sum is σ = 84377563776. Its totient is φ = 13837824000.

The previous prime is 35442426599. The next prime is 35442426641. The reversal of 35442426640 is 4662424453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×354424266402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 35442426593 and 35442426602.

It is not an unprimeable number, because it can be changed into a prime (35442426641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7156165 + ... + 7161115.

Almost surely, 235442426640 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 35442426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42188781888).

35442426640 is an abundant number, since it is smaller than the sum of its proper divisors (48935137136).

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

35442426640 is a wasteful number, since it uses less digits than its factorization.

35442426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 35442426640 in words is "thirty-five billion, four hundred forty-two million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2081 3440 4162 4951 8324 9902 10405 16648 19804 20810 24755 33296 39608 41620 49510 79216 83240 89483 99020 166480 178966 198040 212893 357932 396080 425786 447415 715864 851572 894830 1064465 1431728 1703144 1789660 2128930 3406288 3579320 4257860 7158640 8515720 10303031 17031440 20606062 41212124 51515155 82424248 103030310 164848496 206060620 412121240 443030333 824242480 886060666 1772121332 2215151665 3544242664 4430303330 7088485328 8860606660 17721213320 35442426640