Search a number
-
+
340553051025 = 35211260896163
BaseRepresentation
bin1001111010010101000…
…10110010101110010001
31012120000201122110121220
410331022202302232101
521034423040113100
6420240425435253
733414136112655
oct4751242625621
91176021573556
10340553051025
11121478356800
125600263bb29
132616364c2a5
14126a8d54a65
158cd29dcaa0
hex4f4a8b2b91

340553051025 has 72 divisors (see below), whose sum is σ = 619089229920. Its totient is φ = 165062726400.

The previous prime is 340553050891. The next prime is 340553051081. The reversal of 340553051025 is 520150355043.

It is a happy number.

It is not a de Polignac number, because 340553051025 - 213 = 340553042833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 71 ways as a sum of consecutive naturals, for example, 55254594 + ... + 55260756.

Almost surely, 2340553051025 is an apocalyptic number.

It is an amenable number.

340553051025 is a deficient number, since it is larger than the sum of its proper divisors (278536178895).

340553051025 is a wasteful number, since it uses less digits than its factorization.

340553051025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12287 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 340553051025 in words is "three hundred forty billion, five hundred fifty-three million, fifty-one thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 121 165 275 363 605 825 1815 3025 6089 6163 9075 18267 18489 30445 30815 66979 67793 91335 92445 152225 154075 200937 203379 334895 338965 456675 462225 736769 745723 1004685 1016895 1674475 1694825 2210307 2237169 3683845 3728615 5023425 5084475 11051535 11185845 18419225 18643075 37526507 55257675 55929225 112579521 187632535 412791577 562897605 938162675 1238374731 2063957885 2814488025 4540707347 6191873655 10319789425 13622122041 22703536735 30959368275 68110610205 113517683675 340553051025