Search a number
-
+
35740042000 = 2453131374617
BaseRepresentation
bin100001010010010001…
…011100001100010000
310102020210012020201021
4201102101130030100
51041143422321000
624230241045224
72403446226115
oct412221341420
9112223166637
1035740042000
111418035a5a3
126b15326814
1334a7642a60
141a3090890c
15de2a1211a
hex85245c310

35740042000 has 80 divisors (see below), whose sum is σ = 93067137072. Its totient is φ = 13196313600.

The previous prime is 35740041971. The next prime is 35740042007. The reversal of 35740042000 is 24004753.

It can be written as a sum of positive squares in 8 ways, for example, as 22513201936 + 13226840064 = 150044^2 + 115008^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (35740042007) 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, 661309 + ... + 713308.

Almost surely, 235740042000 is an apocalyptic number.

It is an amenable number.

35740042000 is an abundant number, since it is smaller than the sum of its proper divisors (57327095072).

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

35740042000 is a wasteful number, since it uses less digits than its factorization.

35740042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374653 (or 1374637 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

Adding to 35740042000 its reverse (24004753), we get a palindrome (35764046753).

The spelling of 35740042000 in words is "thirty-five billion, seven hundred forty million, forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 1374617 2749234 5498468 6873085 10996936 13746170 17870021 21993872 27492340 34365425 35740042 54984680 68730850 71480084 89350105 109969360 137461700 142960168 171827125 178700210 274923400 285920336 343654250 357400420 446750525 549846800 687308500 714800840 893501050 1374617000 1429601680 1787002100 2233752625 2749234000 3574004200 4467505250 7148008400 8935010500 17870021000 35740042000