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20045323440 = 24325139200293
BaseRepresentation
bin10010101010110010…
…110101110010110000
31220201222210221022200
4102222302311302300
5312023100322230
613113024503200
71306512303132
oct225262656260
956658727280
1020045323440
11855707620a
123a7517ab00
131b75bb653c
14d82323052
157c4c20160
hex4aacb5cb0

20045323440 has 120 divisors (see below), whose sum is σ = 67803524880. Its totient is φ = 5306936832.

The previous prime is 20045323433. The next prime is 20045323453. The reversal of 20045323440 is 4432354002.

20045323440 is a `hidden beast` number, since 200 + 453 + 2 + 3 + 4 + 4 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 67 + ... + 200226.

It is an arithmetic number, because the mean of its divisors is an integer number (565029374).

Almost surely, 220045323440 is an apocalyptic number.

20045323440 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 20045323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33901762440).

20045323440 is an abundant number, since it is smaller than the sum of its proper divisors (47758201440).

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

20045323440 is a wasteful number, since it uses less digits than its factorization.

20045323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200451 (or 200442 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20045323440 its reverse (4432354002), we get a palindrome (24477677442).

The spelling of 20045323440 in words is "twenty billion, forty-five million, three hundred twenty-three 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 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1668 2085 2224 2502 2780 3336 4170 5004 5560 6255 6672 8340 10008 11120 12510 16680 20016 25020 33360 50040 100080 200293 400586 600879 801172 1001465 1201758 1602344 1802637 2002930 2403516 3004395 3204688 3605274 4005860 4807032 6008790 7210548 8011720 9013185 9614064 12017580 14421096 16023440 18026370 24035160 27840727 28842192 36052740 48070320 55681454 72105480 83522181 111362908 139203635 144210960 167044362 222725816 250566543 278407270 334088724 417610905 445451632 501133086 556814540 668177448 835221810 1002266172 1113629080 1252832715 1336354896 1670443620 2004532344 2227258160 2505665430 3340887240 4009064688 5011330860 6681774480 10022661720 20045323440