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2431334413004 = 2273715115542039
BaseRepresentation
bin100011011000010110110…
…100101111001011001100
322121102200212122022211212
4203120112310233023030
5304313333102204004
65100534542233552
7340441506343610
oct43302664571314
98542625568755
102431334413004
11858139989482
12333260b858b8
131483738612a3
148596a3b9340
15433a073b96e
hex23616d2f2cc

2431334413004 has 48 divisors (see below), whose sum is σ = 5027166090240. Its totient is φ = 1007124062400.

The previous prime is 2431334413003. The next prime is 2431334413031. The reversal of 2431334413004 is 4003144331342.

2431334413004 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 2×24313344130042 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2431334413003) 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, 7614584 + ... + 7927455.

It is an arithmetic number, because the mean of its divisors is an integer number (104732626880).

Almost surely, 22431334413004 is an apocalyptic number.

It is an amenable number.

2431334413004 is an abundant number, since it is smaller than the sum of its proper divisors (2595831677236).

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

2431334413004 is a wasteful number, since it uses less digits than its factorization.

2431334413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542238 (or 15542236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2431334413004 its reverse (4003144331342), we get a palindrome (6434478744346).

The spelling of 2431334413004 in words is "two trillion, four hundred thirty-one billion, three hundred thirty-four million, four hundred thirteen thousand, four".

Divisors: 1 2 4 7 14 28 37 74 148 151 259 302 518 604 1036 1057 2114 4228 5587 11174 22348 39109 78218 156436 15542039 31084078 62168156 108794273 217588546 435177092 575055443 1150110886 2300221772 2346847889 4025388101 4693695778 8050776202 9387391556 16101552404 16427935223 32855870446 65711740892 86833371893 173666743786 347333487572 607833603251 1215667206502 2431334413004