Search a number
-
+
3001020434004 = 22310114831669649
BaseRepresentation
bin101011101010111010110…
…000011100011001010100
3101121220011021101200202010
4223222322300130121110
5343132042212342004
610214352202544220
7426550040542245
oct53527260343124
911556137350663
103001020434004
11a577a888696a
1240574b808070
13189cc2072bc8
14a5370642ccc
15530e410ea89
hex2babac1c654

3001020434004 has 48 divisors (see below), whose sum is σ = 7076484273600. Its totient is φ = 989767334400.

The previous prime is 3001020434003. The next prime is 3001020434029. The reversal of 3001020434004 is 4004340201003.

3001020434004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×30010204340042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001020434003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962572 + ... + 2632220.

It is an arithmetic number, because the mean of its divisors is an integer number (147426755700).

Almost surely, 23001020434004 is an apocalyptic number.

It is an amenable number.

3001020434004 is an abundant number, since it is smaller than the sum of its proper divisors (4075463839596).

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

3001020434004 is a wasteful number, since it uses less digits than its factorization.

3001020434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671240 (or 1671238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3001020434004 its reverse (4004340201003), we get a palindrome (7005360635007).

The spelling of 3001020434004 in words is "three trillion, one billion, twenty million, four hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 1483 2966 4449 5932 8898 17796 149783 299566 449349 599132 898698 1669649 1797396 3339298 5008947 6678596 10017894 20035788 168634549 337269098 505903647 674538196 1011807294 2023614588 2476089467 4952178934 7428268401 9904357868 14856536802 29713073604 250085036167 500170072334 750255108501 1000340144668 1500510217002 3001020434004