Search a number
-
+
20143144134102 = 23112942176932507
BaseRepresentation
bin1001001010001111100001…
…11100110110010111010110
32122022122222100101221120010
410211013300330312113112
510120011124344242402
6110501344353421050
74146202614052623
oct445076074662726
978278870357503
1020143144134102
116466728807710
122313a6226a786
13b3164b3841c2
144d8d0d29134a
1524de81b1ca6c
hex1251f0f365d6

20143144134102 has 128 divisors (see below), whose sum is σ = 45632805926400. Its totient is φ = 5871675801600.

The previous prime is 20143144134059. The next prime is 20143144134163.

It is a happy number.

20143144134102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×201431441341022 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20143144134102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619639333 + ... + 619671839.

It is an arithmetic number, because the mean of its divisors is an integer number (356506296300).

Almost surely, 220143144134102 is an apocalyptic number.

20143144134102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20143144134102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816402963200).

20143144134102 is an abundant number, since it is smaller than the sum of its proper divisors (25489661792298).

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

20143144134102 is a wasteful number, since it uses less digits than its factorization.

20143144134102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33742.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 2014314 and 4134102, that added together give a palindrome (6148416).

The spelling of 20143144134102 in words is "twenty trillion, one hundred forty-three billion, one hundred forty-four million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 421 638 769 842 957 1263 1538 1914 2307 2526 4614 4631 8459 9262 12209 13893 16918 22301 24418 25377 27786 32507 36627 44602 50754 65014 66903 73254 97521 133806 134299 195042 245311 268598 323749 357577 402897 490622 647498 715154 735933 805794 942703 971247 1072731 1471866 1885406 1942494 2145462 2828109 3561239 5656218 7122478 9388721 10369733 10683717 13685447 18777442 20739466 21367434 24997883 27370894 28166163 31109199 41056341 49995766 56332326 62218398 74993649 82112682 103275931 149987298 150539917 206551862 274976713 301079834 309827793 396877963 451619751 549953426 619655586 724938607 793755926 824930139 903239502 1190633889 1449877214 1649860278 2174815821 2381267778 4349631642 4365657593 7974324677 8731315186 10524108743 13096972779 15948649354 21048217486 23922974031 26193945558 31572326229 47845948062 63144652458 115765196173 231530392346 305199153547 347295588519 610398307094 694591177038 915597460641 1831194921282 3357190689017 6714381378034 10071572067051 20143144134102