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39123940000 = 25542418117
BaseRepresentation
bin100100011011111101…
…111111001010100000
310201222121121002002211
4210123331333022200
51120111212040000
625550121451504
72553346001005
oct443375771240
9121877532084
1039123940000
1115657498212
1276ba640b94
1338c671b772
141c720c38ac
15103eb387ba
hex91bf7f2a0

39123940000 has 120 divisors (see below), whose sum is σ = 96662048868. Its totient is φ = 15582720000.

The previous prime is 39123939977. The next prime is 39123940007. The reversal of 39123940000 is 4932193.

It can be written as a sum of positive squares in 10 ways, for example, as 281836944 + 38842103056 = 16788^2 + 197084^2 .

It is a super-2 number, since 2×391239400002 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (39123940007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4815942 + ... + 4824058.

Almost surely, 239123940000 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 39123940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48331024434).

39123940000 is an abundant number, since it is smaller than the sum of its proper divisors (57538108868).

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

39123940000 is an equidigital number, since it uses as much as digits as its factorization.

39123940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 39123940000 in words is "thirty-nine billion, one hundred twenty-three million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 625 800 964 1000 1205 1250 1928 2000 2410 2500 3856 4000 4820 5000 6025 7712 8117 9640 10000 12050 16234 19280 20000 24100 30125 32468 38560 40585 48200 60250 64936 81170 96400 120500 129872 150625 162340 192800 202925 241000 259744 301250 324680 405850 482000 602500 649360 811700 964000 1014625 1205000 1298720 1623400 1956197 2029250 2410000 3246800 3912394 4058500 4820000 5073125 6493600 7824788 8117000 9780985 10146250 15649576 16234000 19561970 20292500 31299152 32468000 39123940 40585000 48904925 62598304 78247880 81170000 97809850 156495760 162340000 195619700 244524625 312991520 391239400 489049250 782478800 978098500 1222623125 1564957600 1956197000 2445246250 3912394000 4890492500 7824788000 9780985000 19561970000 39123940000