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7440000912 = 2432137377129
BaseRepresentation
bin1101110110111010…
…10110011110010000
3201012111200012120100
412323131112132100
5110214120012122
63230133012400
7352240651521
oct67335263620
921174605510
107440000912
113178760893
121537784100
13917511606
14508174848
152d827eaac
hex1bb756790

7440000912 has 60 divisors (see below), whose sum is σ = 20973707820. Its totient is φ = 2461891584.

The previous prime is 7440000907. The next prime is 7440000913. The reversal of 7440000912 is 2190000447.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5075707536 + 2364293376 = 71244^2 + 48624^2 .

It is a super-2 number, since 2×74400009122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7440000913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168837 + ... + 208292.

It is an arithmetic number, because the mean of its divisors is an integer number (349561797).

Almost surely, 27440000912 is an apocalyptic number.

7440000912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7440000912 is an abundant number, since it is smaller than the sum of its proper divisors (13533706908).

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

7440000912 is a wasteful number, since it uses less digits than its factorization.

7440000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377280 (or 377271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7440000912 is about 86255.4398980145. The cubic root of 7440000912 is about 1952.2000951043.

The spelling of 7440000912 in words is "seven billion, four hundred forty million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 377129 754258 1131387 1508516 2262774 3017032 3394161 4525548 6034064 6788322 9051096 13576644 18102192 27153288 51666673 54306576 103333346 155000019 206666692 310000038 413333384 465000057 620000076 826666768 930000114 1240000152 1860000228 2480000304 3720000456 7440000912