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32440000000 = 2957811
BaseRepresentation
bin11110001101100100…
…110001111000000000
310002201210120202010111
4132031210301320000
51012414120000000
622522553441104
72225615310322
oct361544617000
9102653522114
1032440000000
1112837597161
126354110194
13309ca47595
1417da51b612
15c9ce51cba
hex78d931e00

32440000000 has 160 divisors (see below), whose sum is σ = 81120495456. Its totient is φ = 12960000000.

The previous prime is 32439999997. The next prime is 32440000007. The reversal of 32440000000 is 4423.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32440000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999595 + ... + 40000405.

Almost surely, 232440000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40560247728).

32440000000 is an abundant number, since it is smaller than the sum of its proper divisors (48680495456).

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

32440000000 is an frugal number, since it uses more digits than its factorization.

32440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 32440000000 its reverse (4423), we get a palindrome (32440004423).

The spelling of 32440000000 in words is "thirty-two billion, four hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 811 1000 1250 1280 1600 1622 2000 2500 2560 3125 3200 3244 4000 4055 5000 6250 6400 6488 8000 8110 10000 12500 12800 12976 15625 16000 16220 20000 20275 25000 25952 31250 32000 32440 40000 40550 50000 51904 62500 64000 64880 78125 80000 81100 100000 101375 103808 125000 129760 156250 160000 162200 200000 202750 207616 250000 259520 312500 320000 324400 400000 405500 415232 500000 506875 519040 625000 648800 800000 811000 1000000 1013750 1038080 1250000 1297600 1600000 1622000 2000000 2027500 2076160 2500000 2534375 2595200 3244000 4000000 4055000 5000000 5068750 5190400 6488000 8000000 8110000 10000000 10137500 10380800 12671875 12976000 16220000 20000000 20275000 25343750 25952000 32440000 40000000 40550000 50687500 51904000 63359375 64880000 81100000 101375000 126718750 129760000 162200000 202750000 253437500 259520000 324400000 405500000 506875000 648800000 811000000 1013750000 1297600000 1622000000 2027500000 3244000000 4055000000 6488000000 8110000000 16220000000 32440000000