Search a number
-
+
20001444444142 = 2724311354177641
BaseRepresentation
bin1001000110000111100101…
…11111011011011111101110
32121211010020001102212111221
410203003302333123133232
510110200424234203032
6110312311533333554
74133025303422200
oct443036277333756
977733201385457
1020001444444142
116411623a52327
1222b04b73372ba
13b21188623b05
144d210a01c770
1524a43baa9597
hex1230f2fdb7ee

20001444444142 has 96 divisors (see below), whose sum is σ = 36095215473504. Its totient is φ = 8283156940800.

The previous prime is 20001444444103. The next prime is 20001444444143. The reversal of 20001444444142 is 24144444410002.

It is a junction number, because it is equal to n+sod(n) for n = 20001444444098 and 20001444444107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001444444143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257575642 + ... + 257653282.

It is an arithmetic number, because the mean of its divisors is an integer number (375991827849).

Almost surely, 220001444444142 is an apocalyptic number.

20001444444142 is a deficient number, since it is larger than the sum of its proper divisors (16093771029362).

20001444444142 is a wasteful number, since it uses less digits than its factorization.

20001444444142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78354 (or 78347 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 20001444444142 its reverse (24144444410002), we get a palindrome (44145888854144).

The spelling of 20001444444142 in words is "twenty trillion, one billion, four hundred forty-four million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 7 14 43 49 86 98 113 226 301 541 602 791 1082 1582 2107 3787 4214 4859 5537 7574 9718 11074 23263 26509 34013 46526 53018 61133 68026 77641 122266 155282 162841 238091 325682 427931 476182 543487 855862 1086974 1139887 2279774 2628719 2995517 3338563 3804409 5257438 5991034 6677126 7608818 8773433 17546866 18401033 23369941 36802066 42003781 46739882 61414031 84007562 122828062 128807231 163589587 257614462 294026467 327179174 377257619 429898217 588052934 754515238 859796434 1806162583 2058185269 2640803333 3612325166 4116370538 4746427253 5281606666 9492854506 12643138081 18485623331 25286276162 33224990771 36971246662 66449981542 88501966567 177003933134 204096371879 232574935397 408192743758 465149870794 1428674603153 2857349206306 10000722222071 20001444444142