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4030226195040 = 25325172195359163
BaseRepresentation
bin111010101001011100001…
…100110110001001100000
3112021021201101121111120100
4322221130030312021200
51012012400401220130
612323243234142400
7564113522266533
oct72513414661140
915237641544510
104030226195040
11131423368a351
12551102721a00
13233082cb9c46
14dd0c7828a1a
156ec7e8b4c60
hex3aa5c336260

4030226195040 has 1728 divisors, whose sum is σ = 16032172665600. Its totient is φ = 918584229888.

The previous prime is 4030226195011. The next prime is 4030226195053. The reversal of 4030226195040 is 405916220304.

It is a happy number.

4030226195040 is a `hidden beast` number, since 4 + 0 + 30 + 2 + 2 + 619 + 5 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×40302261950402 (a number of 26 digits) contains 22 as substring.

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 = 4030226194986 and 4030226195004.

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 287 ways as a sum of consecutive naturals, for example, 24725313999 + ... + 24725314161.

It is an arithmetic number, because the mean of its divisors is an integer number (9277877700).

Almost surely, 24030226195040 is an apocalyptic number.

4030226195040 is a gapful number since it is divisible by the number (40) 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 4030226195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8016086332800).

4030226195040 is an abundant number, since it is smaller than the sum of its proper divisors (12001946470560).

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

4030226195040 is a wasteful number, since it uses less digits than its factorization.

4030226195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4030226195040 in words is "four trillion, thirty billion, two hundred twenty-six million, one hundred ninety-five thousand, forty".