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14001240004020 = 22325478716249147
BaseRepresentation
bin1100101110111110101011…
…1011111101010110110100
31211120111122111012200111100
43023233222323331112310
53313344014420112040
645440025244410100
72643361531251453
oct313575273752664
954514574180440
1014001240004020
11450898aa74aa5
1216a164ab46930
137a7407b13a39
14365941012b9a
1519430ebdbb30
hexcbbeaefd5b4

14001240004020 has 72 divisors (see below), whose sum is σ = 42479302660704. Its totient is φ = 3732883812288.

The previous prime is 14001240004019. The next prime is 14001240004051. The reversal of 14001240004020 is 2040004210041.

14001240004020 is a `hidden beast` number, since 1 + 400 + 1 + 240 + 0 + 0 + 4 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14001240003984 and 14001240004002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7262914 + ... + 8986233.

It is an arithmetic number, because the mean of its divisors is an integer number (589990314732).

Almost surely, 214001240004020 is an apocalyptic number.

14001240004020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001240004020 is an abundant number, since it is smaller than the sum of its proper divisors (28478062656684).

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

14001240004020 is a wasteful number, since it uses less digits than its factorization.

14001240004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253949 (or 16253944 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14001240004020 its reverse (2040004210041), we get a palindrome (16041244214061).

The spelling of 14001240004020 in words is "fourteen trillion, one billion, two hundred forty million, four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4787 9574 14361 19148 23935 28722 43083 47870 57444 71805 86166 95740 143610 172332 215415 287220 430830 861660 16249147 32498294 48747441 64996588 81245735 97494882 146242323 162491470 194989764 243737205 292484646 324982940 487474410 584969292 731211615 974948820 1462423230 2924846460 77784666689 155569333378 233354000067 311138666756 388923333445 466708000134 700062000201 777846666890 933416000268 1166770000335 1400124000402 1555693333780 2333540000670 2800248000804 3500310001005 4667080001340 7000620002010 14001240004020