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40925344000 = 28534727211
BaseRepresentation
bin100110000111010101…
…110011000100000000
310220122011020212211111
4212013111303010000
51132303342002000
630444552053104
72646111453502
oct460725630400
9126564225744
1040925344000
11163a1320752
127b21994194
133b229b08a8
141da3443d72
1510e7d6ccba
hex987573100

40925344000 has 144 divisors (see below), whose sum is σ = 104123126016. Its totient is φ = 16021248000.

The previous prime is 40925343989. The next prime is 40925344003. The reversal of 40925344000 is 44352904.

It is a happy number.

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 (40925344003) 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, 1490395 + ... + 1517605.

It is an arithmetic number, because the mean of its divisors is an integer number (723077264).

Almost surely, 240925344000 is an apocalyptic number.

40925344000 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 40925344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061563008).

40925344000 is an abundant number, since it is smaller than the sum of its proper divisors (63197782016).

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

40925344000 is an equidigital number, since it uses as much as digits as its factorization.

40925344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27289 (or 27265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 40925344000 its reverse (44352904), we get a palindrome (40969696904).

The spelling of 40925344000 in words is "forty billion, nine hundred twenty-five million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 256 320 376 400 470 500 640 752 800 940 1000 1175 1280 1504 1600 1880 2000 2350 3008 3200 3760 4000 4700 5875 6016 6400 7520 8000 9400 11750 12032 15040 16000 18800 23500 27211 30080 32000 37600 47000 54422 60160 75200 94000 108844 136055 150400 188000 217688 272110 300800 376000 435376 544220 680275 752000 870752 1088440 1278917 1360550 1504000 1741504 2176880 2557834 2721100 3401375 3483008 4353760 5115668 5442200 6394585 6802750 6966016 8707520 10231336 10884400 12789170 13605500 17415040 20462672 21768800 25578340 27211000 31972925 34830080 40925344 43537600 51156680 54422000 63945850 81850688 87075200 102313360 108844000 127891700 159864625 163701376 174150400 204626720 217688000 255783400 319729250 327402752 409253440 435376000 511566800 639458500 818506880 870752000 1023133600 1278917000 1637013760 2046267200 2557834000 4092534400 5115668000 8185068800 10231336000 20462672000 40925344000