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434141123442033 = 37174992437037231
BaseRepresentation
bin110001010110110010101101…
…1011100011111010101110001
32002221011111010100022020001110
41202231211123130133111301
5423400432010100121113
64135201402341223533
7160305442516653330
oct14255453334372561
92087144110266043
10434141123442033
11116370242169047
124083755ba01ba9
13158324420153c7
14792c784843d17
15352d01854abc3
hex18ad95b71f571

434141123442033 has 32 divisors (see below), whose sum is σ = 701866722816000. Its totient is φ = 233019751783680.

The previous prime is 434141123442001. The next prime is 434141123442107. The reversal of 434141123442033 is 330244321141434.

It is not a de Polignac number, because 434141123442033 - 25 = 434141123442001 is a prime.

It is a super-2 number, since 2×4341411234420332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434141123441982 and 434141123442000.

It is not an unprimeable number, because it can be changed into a prime (434141123446033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218340473 + ... + 1218696758.

It is an arithmetic number, because the mean of its divisors is an integer number (21933335088000).

Almost surely, 2434141123442033 is an apocalyptic number.

It is an amenable number.

434141123442033 is a deficient number, since it is larger than the sum of its proper divisors (267725599373967).

434141123442033 is a wasteful number, since it uses less digits than its factorization.

434141123442033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437037757.

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 434141123442033 its reverse (330244321141434), we get a palindrome (764385444583467).

The spelling of 434141123442033 in words is "four hundred thirty-four trillion, one hundred forty-one billion, one hundred twenty-three million, four hundred forty-two thousand, thirty-three".

Divisors: 1 3 7 17 21 51 119 357 499 1497 3493 8483 10479 25449 59381 178143 2437037231 7311111693 17059260617 41429632927 51177781851 124288898781 290007430489 870022291467 1216081578269 3648244734807 8512571047883 20673386830573 25537713143649 62020160491719 144713707814011 434141123442033