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32041000000 = 26561792
BaseRepresentation
bin11101110101110010…
…101101110001000000
310001200222210110000201
4131311302231301000
51011104444000000
622415221454544
72213002002112
oct356562556100
9101628713021
1032041000000
1112652344599
126262571454
1330381961c9
14179d5373b2
15c77dd996a
hex775cadc40

32041000000 has 147 divisors (see below), whose sum is σ = 79922160577. Its totient is φ = 12744800000.

The previous prime is 32040999997. The next prime is 32041000021. The reversal of 32041000000 is 14023.

The square root of 32041000000 is 179000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 28070991936 + 3970008064 = 167544^2 + 63008^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 178999911 + ... + 179000089.

Almost surely, 232041000000 is an apocalyptic number.

32041000000 is the 179000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32041000000

32041000000 is an abundant number, since it is smaller than the sum of its proper divisors (47881160577).

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

32041000000 is an frugal number, since it uses more digits than its factorization.

32041000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 32041000000 its reverse (14023), we get a palindrome (32041014023).

The spelling of 32041000000 in words is "thirty-two billion, forty-one million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 179 200 250 320 358 400 500 625 716 800 895 1000 1250 1432 1600 1790 2000 2500 2864 3125 3580 4000 4475 5000 5728 6250 7160 8000 8950 10000 11456 12500 14320 15625 17900 20000 22375 25000 28640 31250 32041 35800 40000 44750 50000 57280 62500 64082 71600 89500 100000 111875 125000 128164 143200 160205 179000 200000 223750 250000 256328 286400 320410 358000 447500 500000 512656 559375 640820 716000 801025 895000 1000000 1025312 1118750 1281640 1432000 1602050 1790000 2050624 2237500 2563280 2796875 3204100 3580000 4005125 4475000 5126560 5593750 6408200 7160000 8010250 8950000 10253120 11187500 12816400 16020500 17900000 20025625 22375000 25632800 32041000 35800000 40051250 44750000 51265600 64082000 80102500 89500000 100128125 128164000 160205000 179000000 200256250 256328000 320410000 400512500 500640625 640820000 801025000 1001281250 1281640000 1602050000 2002562500 3204100000 4005125000 6408200000 8010250000 16020500000 32041000000