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40131025000 = 235511145931
BaseRepresentation
bin100101010111111111…
…101101100001101000
310211120210121022000021
4211113333231201220
51124142020300000
630234055050224
72620325040613
oct452777554150
9124523538007
1040131025000
1116023a10070
12793b970974
133a27269751
141d29b5717a
15109d26911a
hex957fed868

40131025000 has 96 divisors (see below), whose sum is σ = 102601870560. Its totient is φ = 14593000000.

The previous prime is 40131024943. The next prime is 40131025001. The reversal of 40131025000 is 52013104.

It is a super-2 number, since 2×401310250002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40131025001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202035 + ... + 347965.

It is an arithmetic number, because the mean of its divisors is an integer number (1068769485).

Almost surely, 240131025000 is an apocalyptic number.

40131025000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40131025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51300935280).

40131025000 is an abundant number, since it is smaller than the sum of its proper divisors (62470845560).

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

40131025000 is a wasteful number, since it uses less digits than its factorization.

40131025000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145973 (or 145949 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 40131025000 its reverse (52013104), we get a palindrome (40183038104).

The spelling of 40131025000 in words is "forty billion, one hundred thirty-one million, twenty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 3125 5000 5500 6250 6875 11000 12500 13750 25000 27500 34375 55000 68750 137500 145931 275000 291862 583724 729655 1167448 1459310 1605241 2918620 3210482 3648275 5837240 6420964 7296550 8026205 12841928 14593100 16052410 18241375 29186200 32104820 36482750 40131025 64209640 72965500 80262050 91206875 145931000 160524100 182413750 200655125 321048200 364827500 401310250 456034375 729655000 802620500 912068750 1003275625 1605241000 1824137500 2006551250 3648275000 4013102500 5016378125 8026205000 10032756250 20065512500 40131025000