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434114112300 = 2235211131549731
BaseRepresentation
bin1100101000100110011…
…01111010101100101100
31112111112011021211110120
412110103031322230230
524103031203043200
6531232420004540
743235516033241
oct6242315725454
91474464254416
10434114112300
1115811a10a940
1270173b30750
1331c24169bcb
1417022b875c8
15b45b7d89a0
hex651337ab2c

434114112300 has 72 divisors (see below), whose sum is σ = 1370222008512. Its totient is φ = 105239784000.

The previous prime is 434114112269. The next prime is 434114112323. The reversal of 434114112300 is 3211411434.

434114112300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4341141123002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65771566 + ... + 65778165.

Almost surely, 2434114112300 is an apocalyptic number.

It is an amenable number.

434114112300 is an abundant number, since it is smaller than the sum of its proper divisors (936107896212).

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

434114112300 is a wasteful number, since it uses less digits than its factorization.

434114112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131549759 (or 131549752 counting only the distinct ones).

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

Adding to 434114112300 its reverse (3211411434), we get a palindrome (437325523734).

It can be divided in two parts, 4341 and 14112300, that added together give a triangular number (14116641 = T5313).

The spelling of 434114112300 in words is "four hundred thirty-four billion, one hundred fourteen million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 131549731 263099462 394649193 526198924 657748655 789298386 1315497310 1447047041 1578596772 1973245965 2630994620 2894094082 3288743275 3946491930 4341141123 5788188164 6577486550 7235235205 7892983860 8682282246 9866229825 13154973100 14470470410 17364564492 19732459650 21705705615 28940940820 36176176025 39464919300 43411411230 72352352050 86822822460 108528528075 144704704100 217057056150 434114112300