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20434441000424 = 23111019619239017
BaseRepresentation
bin1001010010101110000111…
…00110001101010111101000
32200100111212022211222022212
410221113003212031113220
510134244213344003144
6111243241432304252
74206224332422563
oct451270346152750
980314768758285
1020434441000424
11656921a246850
1223603b8b42088
13b52c620a4169
145090645b74da
152568301e049e
hex1295c398d5e8

20434441000424 has 64 divisors (see below), whose sum is σ = 42216124017600. Its totient is φ = 9195423552000.

The previous prime is 20434441000411. The next prime is 20434441000427. The reversal of 20434441000424 is 42400014443402.

It is not an unprimeable number, because it can be changed into a prime (20434441000427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85374164 + ... + 85613180.

It is an arithmetic number, because the mean of its divisors is an integer number (659626937775).

Almost surely, 220434441000424 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 20434441000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108062008800).

20434441000424 is an abundant number, since it is smaller than the sum of its proper divisors (21781683017176).

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

20434441000424 is a wasteful number, since it uses less digits than its factorization.

20434441000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248754 (or 248750 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 20434441000424 its reverse (42400014443402), we get a palindrome (62834455443826).

The spelling of 20434441000424 in words is "twenty trillion, four hundred thirty-four billion, four hundred forty-one million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 4444 8888 9619 19238 38476 76952 105809 211618 239017 423236 478034 846472 956068 971519 1912136 1943038 2629187 3886076 5258374 7772152 10516748 10686709 21033496 21373418 24140717 42746836 48281434 85493672 96562868 193125736 265547887 531095774 1062191548 2124383096 2299104523 4598209046 9196418092 18392836184 25290149753 50580299506 101160599012 202321198024 232209556823 464419113646 928838227292 1857676454584 2554305125053 5108610250106 10217220500212 20434441000424