Search a number
-
+
31535023330440 = 23325718191687917
BaseRepresentation
bin1110010101110010100011…
…10111010001010010001000
311010122201101222220102111100
413022321101313101102020
513113132211433033230
6151022553440301400
76433221163410660
oct712712167212210
9133581358812440
1031535023330440
11a058a2360aa33
123653847611860
131479980857806
147b04362771a0
1539a471cb1660
hex1cae51dd1488

31535023330440 has 192 divisors, whose sum is σ = 117136695836160. Its totient is φ = 7207598615040.

The previous prime is 31535023330427. The next prime is 31535023330453. The reversal of 31535023330440 is 4403332053513.

31535023330440 is a `hidden beast` number, since 3 + 1 + 5 + 350 + 233 + 30 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (31535023330427) and next prime (31535023330453).

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

It is a junction number, because it is equal to n+sod(n) for n = 31535023330395 and 31535023330404.

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, 45497362 + ... + 46185278.

It is an arithmetic number, because the mean of its divisors is an integer number (610086957480).

Almost surely, 231535023330440 is an apocalyptic number.

31535023330440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31535023330440 is an abundant number, since it is smaller than the sum of its proper divisors (85601672505720).

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

31535023330440 is a wasteful number, since it uses less digits than its factorization.

31535023330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706132 (or 706125 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 31535023330440 its reverse (4403332053513), we get a palindrome (35938355383953).

The spelling of 31535023330440 in words is "thirty-one trillion, five hundred thirty-five billion, twenty-three million, three hundred thirty thousand, four hundred forty".