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34441119000 = 233553271523
BaseRepresentation
bin100000000100110110…
…011100010100011000
310021220021001010100000
4200010312130110120
51031013411302000
623453320413000
72326324452441
oct400466342430
9107807033300
1034441119000
1113674128512
126812317160
13332b4c4072
14194a1c82c8
15d68986000
hex804d9c518

34441119000 has 384 divisors, whose sum is σ = 121399649280. Its totient is φ = 9132912000.

The previous prime is 34441118977. The next prime is 34441119007. The reversal of 34441119000 is 91114443.

34441119000 is a `hidden beast` number, since 34 + 441 + 1 + 190 + 0 + 0 = 666.

It is a super-2 number, since 2×344411190002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441119007) 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 95 ways as a sum of consecutive naturals, for example, 65852739 + ... + 65853261.

It is an arithmetic number, because the mean of its divisors is an integer number (316144920).

Almost surely, 234441119000 is an apocalyptic number.

34441119000 is a gapful number since it is divisible by the number (30) 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 34441119000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60699824640).

34441119000 is an abundant number, since it is smaller than the sum of its proper divisors (86958530280).

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

34441119000 is a wasteful number, since it uses less digits than its factorization.

34441119000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 34441119000 in words is "thirty-four billion, four hundred forty-one million, one hundred nineteen thousand".