Search a number
-
+
35250253453440 = 273452412821501
BaseRepresentation
bin10000000001111010101101…
…10101011101100010000000
311121210220001202211111210000
420000331112311131202000
514110020004341002230
6202545424243440000
710265514066405414
oct1000752665354200
9147726052744700
1035250253453440
1110260604114113
123b5389a686000
131689113c4393c
1489c19b07cd44
15411e176cbb60
hex200f56d5d880

35250253453440 has 320 divisors, whose sum is σ = 126407408992920. Its totient is φ = 9361059840000.

The previous prime is 35250253453427. The next prime is 35250253453463. The reversal of 35250253453440 is 4435435205253.

35250253453440 is a `hidden beast` number, since 3 + 5 + 2 + 50 + 25 + 3 + 4 + 534 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35243409531456 + 6843921984 = 5936616^2 + 82728^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11082690 + ... + 13904190.

Almost surely, 235250253453440 is an apocalyptic number.

35250253453440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35250253453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63203704496460).

35250253453440 is an abundant number, since it is smaller than the sum of its proper divisors (91157155539480).

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

35250253453440 is a wasteful number, since it uses less digits than its factorization.

35250253453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821773 (or 2821752 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

Adding to 35250253453440 its reverse (4435435205253), we get a palindrome (39685688658693).

The spelling of 35250253453440 in words is "thirty-five trillion, two hundred fifty billion, two hundred fifty-three million, four hundred fifty-three thousand, four hundred forty".