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51314140420 = 22537317218749
BaseRepresentation
bin101111110010100011…
…111010010100000100
311220110011121102101021
4233302203322110010
51320042404443140
635323504040524
73464416665634
oct576243722404
9156404542337
1051314140420
111a842549214
129b41003144
134aba0b8cca
1426ab0926c4
151504e29b4a
hexbf28fa504

51314140420 has 48 divisors (see below), whose sum is σ = 111021750000. Its totient is φ = 19907817984.

The previous prime is 51314140417. The next prime is 51314140487. The reversal of 51314140420 is 2404141315.

51314140420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 130507776 + 51183632644 = 11424^2 + 226238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125206 + ... + 343954.

It is an arithmetic number, because the mean of its divisors is an integer number (2312953125).

Almost surely, 251314140420 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 51314140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55510875000).

51314140420 is an abundant number, since it is smaller than the sum of its proper divisors (59707609580).

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

51314140420 is a wasteful number, since it uses less digits than its factorization.

51314140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219112 (or 219110 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 51314140420 its reverse (2404141315), we get a palindrome (53718281735).

The spelling of 51314140420 in words is "fifty-one billion, three hundred fourteen million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 317 370 634 740 1268 1585 3170 6340 11729 23458 46916 58645 117290 218749 234580 437498 874996 1093745 2187490 4374980 8093713 16187426 32374852 40468565 69343433 80937130 138686866 161874260 277373732 346717165 693434330 1386868660 2565707021 5131414042 10262828084 12828535105 25657070210 51314140420