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12144120040 = 2351329805313
BaseRepresentation
bin10110100111101100…
…01001000011101000
31011100100022012212201
423103312021003220
5144332343320130
65325014345544
7606641213533
oct132366110350
934310265781
1012144120040
115172048148
12242b05b2b4
1311b6c85260
14832c15a1a
154b123cbca
hex2d3d890e8

12144120040 has 64 divisors (see below), whose sum is σ = 30440869200. Its totient is φ = 4329357312.

The previous prime is 12144120013. The next prime is 12144120061. The reversal of 12144120040 is 4002144121.

It can be written as a sum of positive squares in 8 ways, for example, as 1179098244 + 10965021796 = 34338^2 + 104714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387577 + ... + 417736.

Almost surely, 212144120040 is an apocalyptic number.

12144120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144120040 is an abundant number, since it is smaller than the sum of its proper divisors (18296749160).

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

12144120040 is a wasteful number, since it uses less digits than its factorization.

12144120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805366 (or 805362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12144120040 its reverse (4002144121), we get a palindrome (16146264161).

The spelling of 12144120040 in words is "twelve billion, one hundred forty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 805313 1610626 3221252 4026565 6442504 8053130 10469069 16106260 20938138 23354077 32212520 41876276 46708154 52345345 83752552 93416308 104690690 116770385 186832616 209381380 233540770 303603001 418762760 467081540 607206002 934163080 1214412004 1518015005 2428824008 3036030010 6072060020 12144120040