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20414204605400 = 23524153149315251
BaseRepresentation
bin1001010010001000011010…
…11010011111001111011000
32200021120122000111121001212
410221010031122133033120
510133431242334333100
6111230053420202252
74204610010046424
oct451041532371730
980246560447055
1020414204605400
116560685336741
1223584ab999388
13b5108873b518
145080a4b57b84
1525604882b635
hex12910d69f3d8

20414204605400 has 192 divisors, whose sum is σ = 49870659636000. Its totient is φ = 7763724800000.

The previous prime is 20414204605381. The next prime is 20414204605427. The reversal of 20414204605400 is 450640241402.

It is a super-2 number, since 2×204142046054002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64597775 + ... + 64913025.

Almost surely, 220414204605400 is an apocalyptic number.

20414204605400 is a gapful number since it is divisible by the number (20) 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 20414204605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935329818000).

20414204605400 is an abundant number, since it is smaller than the sum of its proper divisors (29456455030600).

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

20414204605400 is a wasteful number, since it uses less digits than its factorization.

20414204605400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315510 (or 315501 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 20414204605400 its reverse (450640241402), we get a palindrome (20864844846802).

The spelling of 20414204605400 in words is "twenty trillion, four hundred fourteen billion, two hundred four million, six hundred five thousand, four hundred".