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35000241444 = 2232717231013517
BaseRepresentation
bin100000100110001011…
…010100110100100100
310100100020010111010200
4200212023110310210
51033140030211234
624025012350500
72346224100150
oct404613246444
9110306114120
1035000241444
11139307a6483
126949615430
1333ba2a984c
1419a0570060
15d9cacbd99
hex8262d4d24

35000241444 has 288 divisors, whose sum is σ = 112852486656. Its totient is φ = 8910950400.

The previous prime is 35000241439. The next prime is 35000241469. The reversal of 35000241444 is 44414200053.

It is a happy number.

It is a super-2 number, since 2×350002414442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9949974 + ... + 9953490.

It is an arithmetic number, because the mean of its divisors is an integer number (391848912).

Almost surely, 235000241444 is an apocalyptic number.

35000241444 is a gapful number since it is divisible by the number (34) 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 35000241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426243328).

35000241444 is an abundant number, since it is smaller than the sum of its proper divisors (77852245212).

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

35000241444 is a wasteful number, since it uses less digits than its factorization.

35000241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 35000241444 its reverse (44414200053), we get a palindrome (79414441497).

The spelling of 35000241444 in words is "thirty-five billion, two hundred forty-one thousand, four hundred forty-four".