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40048080000 = 27354166867
BaseRepresentation
bin100101010011000011…
…010011010010000000
310211101000112020212020
4211103003103102000
51124004302030000
630221533201440
72615300030505
oct452303232200
9124330466766
1040048080000
1115a91108285
127918030280
133a13017a76
141d1cb254ac
151095d32ba0
hex9530d3480

40048080000 has 160 divisors (see below), whose sum is σ = 132930386160. Its totient is φ = 10679424000.

The previous prime is 40048079989. The next prime is 40048080001. The reversal of 40048080000 is 8084004.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40048080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156567 + ... + 323433.

Almost surely, 240048080000 is an apocalyptic number.

40048080000 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 40048080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66465193080).

40048080000 is an abundant number, since it is smaller than the sum of its proper divisors (92882306160).

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

40048080000 is an equidigital number, since it uses as much as digits as its factorization.

40048080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166904 (or 166877 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 40048080000 in words is "forty billion, forty-eight million, eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 166867 240000 333734 500601 667468 834335 1001202 1334936 1668670 2002404 2503005 2669872 3337340 4004808 4171675 5006010 5339744 6674680 8009616 8343350 10012020 10679488 12515025 13349360 16019232 16686700 20024040 20858375 21358976 25030050 26698720 32038464 33373400 40048080 41716750 50060100 53397440 62575125 64076928 66746800 80096160 83433500 100120200 104291875 106794880 125150250 133493600 160192320 166867000 200240400 208583750 250300500 266987200 312875625 320384640 333734000 400480800 417167500 500601000 533974400 625751250 667468000 800961600 834335000 1001202000 1251502500 1334936000 1601923200 1668670000 2002404000 2503005000 2669872000 3337340000 4004808000 5006010000 6674680000 8009616000 10012020000 13349360000 20024040000 40048080000