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20434222411002 = 2328975795317681
BaseRepresentation
bin1001010010101101101101…
…00100010110110011111010
32200100111022002112111000100
410221112312210112303322
510134243241414123002
6111243204023220230
74206216036432621
oct451266644266372
980314262474010
1020434222411002
116569117917334
1223603578a7676
13b52c28a0b7ca
145090435566b8
1525681ae1311c
hex1295b6916cfa

20434222411002 has 96 divisors (see below), whose sum is σ = 44880334284240. Its totient is φ = 6718540308480.

The previous prime is 20434222410989. The next prime is 20434222411033. The reversal of 20434222411002 is 20011422243402.

It is a happy number.

20434222411002 is a `hidden beast` number, since 2 + 0 + 434 + 2 + 224 + 1 + 1 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5026155964281 + 15408066446721 = 2241909^2 + 3925311^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155707602 + ... + 1155725282.

Almost surely, 220434222411002 is an apocalyptic number.

20434222411002 is an abundant number, since it is smaller than the sum of its proper divisors (24446111873238).

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

20434222411002 is a wasteful number, since it uses less digits than its factorization.

20434222411002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20434222411002 its reverse (20011422243402), we get a palindrome (40445644654404).

The spelling of 20434222411002 in words is "twenty trillion, four hundred thirty-four billion, two hundred twenty-two million, four hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 89 178 267 534 757 801 953 1514 1602 1906 2271 2859 4542 5718 6813 8577 13626 17154 17681 35362 53043 67373 84817 106086 134746 159129 169634 202119 254451 318258 404238 508902 606357 721421 763353 1212714 1442842 1526706 1573609 2164263 3147218 4328526 4720827 6492789 9441654 12985578 13384517 14162481 16849993 26769034 28324962 33699986 40153551 50549979 64206469 80307102 101099958 120460653 128412938 151649937 192619407 240921306 303299874 385238814 577858221 1155716442 1191222013 1499649377 2382444026 2999298754 3573666039 4498948131 7147332078 8997896262 10720998117 12755444701 13496844393 21441996234 25510889402 26993688786 38266334103 76532668206 114799002309 229598004618 1135234578389 2270469156778 3405703735167 6811407470334 10217111205501 20434222411002