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31422114487296 = 21033132333711279
BaseRepresentation
bin1110010010100000001111…
…11110001101110000000000
311010020220222011222220111000
413021100013332031300000
513104304442302043141
6150455041540052000
76422113201156161
oct711200776156000
9133226864886430
1031422114487296
11a015053500a25
123635996694000
13146c128811a60
147a8ba4a19768
1539756462e5b6
hex1c9407f8dc00

31422114487296 has 704 divisors, whose sum is σ = 104892131635200. Its totient is φ = 9219720609792.

The previous prime is 31422114487277. The next prime is 31422114487369. The reversal of 31422114487296 is 69278441122413.

It is a happy number.

31422114487296 is a `hidden beast` number, since 3 + 1 + 4 + 22 + 114 + 487 + 29 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785889785 + ... + 2785901063.

Almost surely, 231422114487296 is an apocalyptic number.

31422114487296 is a gapful number since it is divisible by the number (36) 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 31422114487296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52446065817600).

31422114487296 is an abundant number, since it is smaller than the sum of its proper divisors (73470017147904).

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

31422114487296 is a wasteful number, since it uses less digits than its factorization.

31422114487296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681 (or 11657 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 31422114487296 in words is "thirty-one trillion, four hundred twenty-two billion, one hundred fourteen million, four hundred eighty-seven thousand, two hundred ninety-six".