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34544141040 = 2435143933921
BaseRepresentation
bin100000001010111111…
…011100001011110000
310022011102220012000010
4200022333130023300
51031221300003130
623511440454520
72332015232313
oct401277341360
9108142805003
1034544141040
11137172a34a2
12684091a440
133346955256
141959b6497a
15d72a360b0
hex80afdc2f0

34544141040 has 40 divisors (see below), whose sum is σ = 107086837968. Its totient is φ = 9211770880.

The previous prime is 34544140997. The next prime is 34544141041. The reversal of 34544141040 is 4014144543.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34544140989 and 34544141007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34544141041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71966721 + ... + 71967200.

Almost surely, 234544141040 is an apocalyptic number.

34544141040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34544141040 is an abundant number, since it is smaller than the sum of its proper divisors (72542696928).

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

34544141040 is a wasteful number, since it uses less digits than its factorization.

34544141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143933937 (or 143933931 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 34544141040 its reverse (4014144543), we get a palindrome (38558285583).

The spelling of 34544141040 in words is "thirty-four billion, five hundred forty-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 143933921 287867842 431801763 575735684 719669605 863603526 1151471368 1439339210 1727207052 2159008815 2302942736 2878678420 3454414104 4318017630 5757356840 6908828208 8636035260 11514713680 17272070520 34544141040