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41289320400 = 2435234407767
BaseRepresentation
bin100110011101000010…
…010000011111010000
310221120112010210120220
4212131002100133100
51134030031223100
630545033233040
72661121301256
oct463502203720
9127515123526
1041289320400
1116568821599
128003862780
133b8021b543
141dd990c5d6
151119cb7aa0
hex99d0907d0

41289320400 has 60 divisors (see below), whose sum is σ = 132263460192. Its totient is φ = 11010485120.

The previous prime is 41289320399. The next prime is 41289320411. The reversal of 41289320400 is 402398214.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17202684 + ... + 17205083.

Almost surely, 241289320400 is an apocalyptic number.

41289320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41289320400 is an abundant number, since it is smaller than the sum of its proper divisors (90974139792).

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

41289320400 is a wasteful number, since it uses less digits than its factorization.

41289320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34407788 (or 34407777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 41289320400 in words is "forty-one billion, two hundred eighty-nine million, three hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34407767 68815534 103223301 137631068 172038835 206446602 275262136 344077670 412893204 516116505 550524272 688155340 825786408 860194175 1032233010 1376310680 1651572816 1720388350 2064466020 2580582525 2752621360 3440776700 4128932040 5161165050 6881553400 8257864080 10322330100 13763106800 20644660200 41289320400