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20103444142314 = 23134310695606989
BaseRepresentation
bin1001001001000101100101…
…01001011001100011101010
32122011212111120212101221220
410210202302221121203222
510113333323200023224
6110431221133042510
74143266041514421
oct444426251314352
978155446771856
1020103444142314
116450906139245
122308222926436
13b2a9925033c0
144d702489a2b8
1524ce0b647279
hex1248b2a598ea

20103444142314 has 64 divisors (see below), whose sum is σ = 44348150985600. Its totient is φ = 6036169289472.

The previous prime is 20103444142279. The next prime is 20103444142333. The reversal of 20103444142314 is 41324144430102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781932 + ... + 6388920.

It is an arithmetic number, because the mean of its divisors is an integer number (692939859150).

Almost surely, 220103444142314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103444142314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22174075492800).

20103444142314 is an abundant number, since it is smaller than the sum of its proper divisors (24244706843286).

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

20103444142314 is a wasteful number, since it uses less digits than its factorization.

20103444142314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608119.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 20103444142314 its reverse (41324144430102), we get a palindrome (61427588572416).

The spelling of 20103444142314 in words is "twenty trillion, one hundred three billion, four hundred forty-four million, one hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1069 1118 1677 2138 3207 3354 6414 13897 27794 41691 45967 83382 91934 137901 275802 597571 1195142 1792713 3585426 5606989 11213978 16820967 33641934 72890857 145781714 218672571 241100527 437345142 482201054 723301581 1446603162 3134306851 5993871241 6268613702 9402920553 11987742482 17981613723 18805841106 35963227446 77920326133 155840652266 233760978399 257736463363 467521956798 515472926726 773209390089 1546418780178 3350574023719 6701148047438 10051722071157 20103444142314