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190426141440 = 2832573367617
BaseRepresentation
bin1011000101011001001…
…0000101001100000000
3200012112010101021112100
42301112102011030000
511104443043011230
6223251445030400
716520636331633
oct2612622051400
9605463337470
10190426141440
11738396575a7
1230aa53b5400
1314c599c6c02
1493067a9c1a
154e47be0660
hex2c56485300

190426141440 has 432 divisors, whose sum is σ = 670785268608. Its totient is φ = 49867259904.

The previous prime is 190426141439. The next prime is 190426141447. The reversal of 190426141440 is 44141624091.

It is a happy number.

190426141440 is a `hidden beast` number, since 1 + 90 + 426 + 1 + 4 + 144 + 0 = 666.

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 = 190426141395 and 190426141404.

It is not an unprimeable number, because it can be changed into a prime (190426141447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308632012 + ... + 308632628.

Almost surely, 2190426141440 is an apocalyptic number.

190426141440 is a gapful number since it is divisible by the number (10) 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 190426141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335392634304).

190426141440 is an abundant number, since it is smaller than the sum of its proper divisors (480359127168).

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

190426141440 is a wasteful number, since it uses less digits than its factorization.

190426141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 190426141440 in words is "one hundred ninety billion, four hundred twenty-six million, one hundred forty-one thousand, four hundred forty".