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4540012144000 = 2753283750759
BaseRepresentation
bin100001000010000110111…
…0011111010010110000000
3121002000120020210221002221
41002010031303322112000
51043340421102102000
613353353000220424
7646001506332514
oct102041563722600
917060506727087
104540012144000
1114a0454552073
12613a74a6a714
1326c17668b458
14119a485b2144
157d1696c361a
hex4210dcfa580

4540012144000 has 64 divisors (see below), whose sum is σ = 11287605232800. Its totient is φ = 1816004851200.

The previous prime is 4540012143973. The next prime is 4540012144021. The reversal of 4540012144000 is 4412100454.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45400121440002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141859380 + ... + 141891379.

Almost surely, 24540012144000 is an apocalyptic number.

4540012144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4540012144000 is an abundant number, since it is smaller than the sum of its proper divisors (6747593088800).

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

4540012144000 is an equidigital number, since it uses as much as digits as its factorization.

4540012144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283750788 (or 283750766 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 4540012144000 its reverse (4412100454), we get a palindrome (4544424244454).

The spelling of 4540012144000 in words is "four trillion, five hundred forty billion, twelve million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 283750759 567501518 1135003036 1418753795 2270006072 2837507590 4540012144 5675015180 7093768975 9080024288 11350030360 14187537950 18160048576 22700060720 28375075900 35468844875 36320097152 45400121440 56750151800 70937689750 90800242880 113500303600 141875379500 181600485760 227000607200 283750759000 454001214400 567501518000 908002428800 1135003036000 2270006072000 4540012144000