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20412431300400 = 2435271239582527
BaseRepresentation
bin1001010010000101000111…
…01101110111011100110000
32200021102001102201100220220
410221002203231313130300
510133414124403103100
6111225201432133040
74204515035154126
oct451024355673460
980242042640826
1020412431300400
11655a955355417
122358095b37180
13b50b65237019
14507d7742d916
15255e92ce7aa0
hex1290a3b77730

20412431300400 has 120 divisors (see below), whose sum is σ = 66308777109504. Its totient is φ = 5366648582400.

The previous prime is 20412431300381. The next prime is 20412431300477. The reversal of 20412431300400 is 400313421402.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119706064 + ... + 119876463.

Almost surely, 220412431300400 is an apocalyptic number.

20412431300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20412431300400 is an abundant number, since it is smaller than the sum of its proper divisors (45896345809104).

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

20412431300400 is a wasteful number, since it uses less digits than its factorization.

20412431300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239582619 (or 239582608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20412431300400 its reverse (400313421402), we get a palindrome (20812744721802).

The spelling of 20412431300400 in words is "twenty trillion, four hundred twelve billion, four hundred thirty-one million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 852 1065 1136 1200 1420 1704 1775 2130 2840 3408 3550 4260 5325 5680 7100 8520 10650 14200 17040 21300 28400 42600 85200 239582527 479165054 718747581 958330108 1197912635 1437495162 1916660216 2395825270 2874990324 3593737905 3833320432 4791650540 5749980648 5989563175 7187475810 9583301080 11499961296 11979126350 14374951620 17010359417 17968689525 19166602160 23958252700 28749903240 34020718834 35937379050 47916505400 51031078251 57499806480 68041437668 71874758100 85051797085 95833010800 102062156502 136082875336 143749516200 170103594170 204124313004 255155391255 272165750672 287499032400 340207188340 408248626008 425258985425 510310782510 680414376680 816497252016 850517970850 1020621565020 1275776956275 1360828753360 1701035941700 2041243130040 2551553912550 3402071883400 4082486260080 5103107825100 6804143766800 10206215650200 20412431300400