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120441312040 = 2357261449649
BaseRepresentation
bin111000000101011011…
…1001001001100101000
3102111212202120120210211
41300022313021030220
53433130433441130
6131155135150504
711462435155300
oct1601267111450
9374782516724
10120441312040
1147095a87415
121b413675434
13b48576175a
145b87bc2600
1531edac9a2a
hex1c0adc9328

120441312040 has 48 divisors (see below), whose sum is σ = 315236704500. Its totient is φ = 41294163456.

The previous prime is 120441312031. The next prime is 120441312049. The reversal of 120441312040 is 40213144021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120441312031) and next prime (120441312049).

It can be written as a sum of positive squares in 2 ways, for example, as 112360380804 + 8080931236 = 335202^2 + 89894^2 .

It is a super-2 number, since 2×1204413120402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120441312049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30722865 + ... + 30726784.

Almost surely, 2120441312040 is an apocalyptic number.

120441312040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120441312040 is an abundant number, since it is smaller than the sum of its proper divisors (194795392460).

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

120441312040 is a wasteful number, since it uses less digits than its factorization.

120441312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61449674 (or 61449663 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 120441312040 its reverse (40213144021), we get a palindrome (160654456061).

The spelling of 120441312040 in words is "one hundred twenty billion, four hundred forty-one million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 61449649 122899298 245798596 307248245 430147543 491597192 614496490 860295086 1228992980 1720590172 2150737715 2457985960 3011032801 3441180344 4301475430 6022065602 8602950860 12044131204 15055164005 17205901720 24088262408 30110328010 60220656020 120441312040