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14121124440 = 2335426127617
BaseRepresentation
bin11010010011010111…
…10100001001011000
31100110010101110001220
431021223310021120
5212410001440230
610253120412040
71006635402003
oct151153641130
940403343056
1014121124440
115a97008885
1228a1177020
13144073a847
1497d60653a
15579aabd10
hex349af4258

14121124440 has 64 divisors (see below), whose sum is σ = 42374849760. Its totient is φ = 3764613120.

The previous prime is 14121124427. The next prime is 14121124447. The reversal of 14121124440 is 4442112141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14121124440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121124447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497512 + ... + 525128.

Almost surely, 214121124440 is an apocalyptic number.

14121124440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14121124440 is an abundant number, since it is smaller than the sum of its proper divisors (28253725320).

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

14121124440 is a wasteful number, since it uses less digits than its factorization.

14121124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31892 (or 31888 counting only the distinct ones).

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

Adding to 14121124440 its reverse (4442112141), we get a palindrome (18563236581).

The spelling of 14121124440 in words is "fourteen billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4261 8522 12783 17044 21305 25566 27617 34088 42610 51132 55234 63915 82851 85220 102264 110468 127830 138085 165702 170440 220936 255660 276170 331404 414255 511320 552340 662808 828510 1104680 1657020 3314040 117676037 235352074 353028111 470704148 588380185 706056222 941408296 1176760370 1412112444 1765140555 2353520740 2824224888 3530281110 4707041480 7060562220 14121124440