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350542005240336 = 243713314371518419
BaseRepresentation
bin100111110110100001110101…
…1101100111000001000010000
31200222011111012001120212100120
41033231003223230320020100
5331421240011320142321
63241312435110550240
7133556552446560240
oct11755035354701020
91628144161525316
10350542005240336
11a176a03638a868
1233395480368380
1312079c7a5b8750
14627c475c91b20
152a7d606b83ec6
hex13ed0ebb38210

350542005240336 has 640 divisors, whose sum is σ = 1177557058191360. Its totient is φ = 87365101824000.

The previous prime is 350542005240331. The next prime is 350542005240337. The reversal of 350542005240336 is 633042500245053.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (350542005240331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41637007935 + ... + 41637016353.

It is an arithmetic number, because the mean of its divisors is an integer number (1839932903424).

Almost surely, 2350542005240336 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 350542005240336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588778529095680).

350542005240336 is an abundant number, since it is smaller than the sum of its proper divisors (827015052951024).

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

350542005240336 is a wasteful number, since it uses less digits than its factorization.

350542005240336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15675 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 350542005240336 its reverse (633042500245053), we get a palindrome (983584505485389).

The spelling of 350542005240336 in words is "three hundred fifty trillion, five hundred forty-two billion, five million, two hundred forty thousand, three hundred thirty-six".