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1325315040224 = 25713145164771
BaseRepresentation
bin10011010010010010111…
…011101010001111100000
311200200212111001201222112
4103102102323222033200
5133203221122241344
62452501420454452
7164515353653360
oct23222273521740
94620774051875
101325315040224
1147107687563a
12194a313aa428
1397c90996496
14482076dc9a0
152471b5c7c9e
hex13492eea3e0

1325315040224 has 48 divisors (see below), whose sum is σ = 3004721951616. Its totient is φ = 563656329600.

The previous prime is 1325315040193. The next prime is 1325315040227. The reversal of 1325315040224 is 4220405135231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325315040227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22553042 + ... + 22611729.

It is an arithmetic number, because the mean of its divisors is an integer number (62598373992).

Almost surely, 21325315040224 is an apocalyptic number.

1325315040224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1325315040224 is an abundant number, since it is smaller than the sum of its proper divisors (1679406911392).

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

1325315040224 is a wasteful number, since it uses less digits than its factorization.

1325315040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45164919 (or 45164911 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 1325315040224 in words is "one trillion, three hundred twenty-five billion, three hundred fifteen million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 3668 4192 7336 14672 29344 45164771 90329542 180659084 316153397 361318168 632306794 722636336 1264613588 1445272672 2529227176 5058454352 5916585001 10116908704 11833170002 23666340004 41416095007 47332680008 82832190014 94665360016 165664380028 189330720032 331328760056 662657520112 1325315040224