Search a number
-
+
1445328235440 = 243252753972893
BaseRepresentation
bin10101000010000100010…
…001101010101110110000
312010011122102001201220200
4111002010101222232300
5142140013012013230
63023550304035200
7206264403203655
oct25020421525660
95104572051820
101445328235440
11507a621224a1
121b4145602b00
13a63a882086b
144dd506bbc2c
15278e27d8160
hex1508446abb0

1445328235440 has 120 divisors (see below), whose sum is σ = 4854136837680. Its totient is φ = 385401580032.

The previous prime is 1445328235427. The next prime is 1445328235441. The reversal of 1445328235440 is 445328235441.

1445328235440 is a `hidden beast` number, since 1 + 4 + 4 + 532 + 8 + 23 + 54 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1445328235441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19791634 + ... + 19864526.

It is an arithmetic number, because the mean of its divisors is an integer number (40451140314).

Almost surely, 21445328235440 is an apocalyptic number.

1445328235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445328235440 is an abundant number, since it is smaller than the sum of its proper divisors (3408808602240).

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

1445328235440 is a wasteful number, since it uses less digits than its factorization.

1445328235440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100451 (or 100442 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Subtracting from 1445328235440 its reverse (445328235441), we obtain a palindrome (999999999999).

The spelling of 1445328235440 in words is "one trillion, four hundred forty-five billion, three hundred twenty-eight million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 27539 55078 72893 82617 110156 137695 145786 165234 218679 220312 247851 275390 291572 330468 364465 413085 437358 440624 495702 550780 583144 656037 660936 728930 826170 874716 991404 1093395 1101560 1166288 1239255 1312074 1321872 1457860 1652340 1749432 1982808 2186790 2203120 2478510 2624148 2915720 3280185 3304680 3498864 3965616 4373580 4957020 5248296 5831440 6560370 6609360 8747160 9914040 10496592 13120740 17494320 19828080 26241480 52482960 2007400327 4014800654 6022200981 8029601308 10037001635 12044401962 16059202616 18066602943 20074003270 24088803924 30111004905 32118405232 36133205886 40148006540 48177607848 60222009810 72266411772 80296013080 90333014715 96355215696 120444019620 144532823544 160592026160 180666029430 240888039240 289065647088 361332058860 481776078480 722664117720 1445328235440