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434012300110140 = 22357233538335169
BaseRepresentation
bin110001010101110110101110…
…0111110011110100100111100
32002220201011121102110220121220
41202223231130332132210330
5423341324142312011030
64135022255334153340
7160263232251500253
oct14253553476364474
92086634542426556
10434012300110140
1111632064580a0a4
12408165a91b2850
1315823251b561bb
14792644375379a
1535299c8b64a10
hex18abb5cf9e93c

434012300110140 has 24 divisors (see below), whose sum is σ = 1215234440308560. Its totient is φ = 115736613362688.

The previous prime is 434012300110127. The next prime is 434012300110231. The reversal of 434012300110140 is 41011003210434.

It is a super-3 number, since 3×4340123001101403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 434012300110140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3616769167525 + ... + 3616769167644.

It is an arithmetic number, because the mean of its divisors is an integer number (50634768346190).

Almost surely, 2434012300110140 is an apocalyptic number.

It is an amenable number.

434012300110140 is an abundant number, since it is smaller than the sum of its proper divisors (781222140198420).

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

434012300110140 is a wasteful number, since it uses less digits than its factorization.

434012300110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7233538335181 (or 7233538335179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 434012300110140 its reverse (41011003210434), we get a palindrome (475023303320574).

The spelling of 434012300110140 in words is "four hundred thirty-four trillion, twelve billion, three hundred million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 7233538335169 14467076670338 21700615005507 28934153340676 36167691675845 43401230011014 72335383351690 86802460022028 108503075027535 144670766703380 217006150055070 434012300110140