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2520001424000 = 2753863182503
BaseRepresentation
bin100100101010111011110…
…010100010101010000000
322220220120020021011211002
4210222323302202222000
5312241430331032000
65205401144111132
7350030661452054
oct44527362425200
98826506234732
102520001424000
118917aa120165
123484874654a8
13153834467c78
1489d7c249c64
154583ea5d8d5
hex24abbca2a80

2520001424000 has 128 divisors (see below), whose sum is σ = 6272647879680. Its totient is φ = 1006827033600.

The previous prime is 2520001423963. The next prime is 2520001424023. The reversal of 2520001424000 is 4241000252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 13716749 + ... + 13899251.

It is an arithmetic number, because the mean of its divisors is an integer number (49005061560).

Almost surely, 22520001424000 is an apocalyptic number.

2520001424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520001424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136323939840).

2520001424000 is an abundant number, since it is smaller than the sum of its proper divisors (3752646455680).

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

2520001424000 is an equidigital number, since it uses as much as digits as its factorization.

2520001424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183395 (or 183373 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2520001424000 its reverse (4241000252), we get a palindrome (2524242424252).

The spelling of 2520001424000 in words is "two trillion, five hundred twenty billion, one million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 863 1000 1600 1726 2000 3200 3452 4000 4315 6904 8000 8630 13808 16000 17260 21575 27616 34520 43150 55232 69040 86300 107875 110464 138080 172600 182503 215750 276160 345200 365006 431500 552320 690400 730012 863000 912515 1380800 1460024 1726000 1825030 2761600 2920048 3452000 3650060 4562575 5840096 6904000 7300120 9125150 11680192 13808000 14600240 18250300 22812875 23360384 29200480 36500600 45625750 58400960 73001200 91251500 116801920 146002400 157500089 182503000 292004800 315000178 365006000 584009600 630000356 730012000 787500445 1260000712 1460024000 1575000890 2520001424 2920048000 3150001780 3937502225 5040002848 6300003560 7875004450 10080005696 12600007120 15750008900 19687511125 20160011392 25200014240 31500017800 39375022250 50400028480 63000035600 78750044500 100800056960 126000071200 157500089000 252000142400 315000178000 504000284800 630000356000 1260000712000 2520001424000