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20344331123424 = 25337111013027733
BaseRepresentation
bin1001010000000110010001…
…01000010011101011100000
32200000220021102012221022000
410220003020220103223200
510131310142231422144
6111134020125044000
74166554330206120
oct450031050235340
980026242187260
1020344331123424
116533a895a8520
122346a4b3b6600
13b47601590809
14504956c76c80
152543093ac769
hex1280c8a13ae0

20344331123424 has 384 divisors, whose sum is σ = 74711879746560. Its totient is φ = 5231920896000.

The previous prime is 20344331123411. The next prime is 20344331123437. The reversal of 20344331123424 is 42432113344302.

20344331123424 is a `hidden beast` number, since 20 + 3 + 443 + 31 + 123 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20344331123411) and next prime (20344331123437).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205462 + ... + 8233194.

It is an arithmetic number, because the mean of its divisors is an integer number (194562186840).

Almost surely, 220344331123424 is an apocalyptic number.

20344331123424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20344331123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37355939873280).

20344331123424 is an abundant number, since it is smaller than the sum of its proper divisors (54367548623136).

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

20344331123424 is a wasteful number, since it uses less digits than its factorization.

20344331123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027871 (or 3027857 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20344331123424 its reverse (42432113344302), we get a palindrome (62776444467726).

The spelling of 20344331123424 in words is "twenty trillion, three hundred forty-four billion, three hundred thirty-one million, one hundred twenty-three thousand, four hundred twenty-four".