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45012340000 = 25543077331
BaseRepresentation
bin101001111010111100…
…011100110100100000
311022011222122210100201
4221322330130310200
51214141124340000
632402310354544
73152306401645
oct517274346440
9138158583321
1045012340000
11180a93242a1
12888265ba54
134324641b14
142270161dcc
151286a7996a
hexa7af1cd20

45012340000 has 120 divisors (see below), whose sum is σ = 111112969968. Its totient is φ = 17943840000.

The previous prime is 45012339979. The next prime is 45012340007. The reversal of 45012340000 is 4321054.

45012340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450123400002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45012340000.

It is not an unprimeable number, because it can be changed into a prime (45012340007) 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, 6136335 + ... + 6143665.

Almost surely, 245012340000 is an apocalyptic number.

45012340000 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 45012340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55556484984).

45012340000 is an abundant number, since it is smaller than the sum of its proper divisors (66100629968).

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

45012340000 is an equidigital number, since it uses as much as digits as its factorization.

45012340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7668 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 45012340000 its reverse (4321054), we get a palindrome (45016661054).

The spelling of 45012340000 in words is "forty-five billion, twelve million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 307 400 500 614 625 800 1000 1228 1250 1535 2000 2456 2500 3070 4000 4912 5000 6140 7331 7675 9824 10000 12280 14662 15350 20000 24560 29324 30700 36655 38375 49120 58648 61400 73310 76750 117296 122800 146620 153500 183275 191875 234592 245600 293240 307000 366550 383750 586480 614000 733100 767500 916375 1172960 1228000 1466200 1535000 1832750 2250617 2932400 3070000 3665500 4501234 4581875 5864800 6140000 7331000 9002468 9163750 11253085 14662000 18004936 18327500 22506170 29324000 36009872 36655000 45012340 56265425 72019744 73310000 90024680 112530850 146620000 180049360 225061700 281327125 360098720 450123400 562654250 900246800 1125308500 1406635625 1800493600 2250617000 2813271250 4501234000 5626542500 9002468000 11253085000 22506170000 45012340000