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2431014124144 = 241731328554479
BaseRepresentation
bin100011011000000011101…
…110111011101001110000
322121101212112221222010111
4203120003232323221300
5304312204103433034
65100443101311104
7340430540053054
oct43300356735160
98541775858114
102431014124144
11857a95107741
12333191865494
131483223ab758
1485939a43c64
1543382571364
hex23603bbba70

2431014124144 has 40 divisors (see below), whose sum is σ = 5003087549760. Its totient is φ = 1140351633408.

The previous prime is 2431014124117. The next prime is 2431014124199. The reversal of 2431014124144 is 4414214101342.

2431014124144 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-3 number, since 3×24310141241443 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14192104 + ... + 14362375.

It is an arithmetic number, because the mean of its divisors is an integer number (125077188744).

Almost surely, 22431014124144 is an apocalyptic number.

It is an amenable number.

2431014124144 is an abundant number, since it is smaller than the sum of its proper divisors (2572073425616).

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

2431014124144 is a wasteful number, since it uses less digits than its factorization.

2431014124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28554817 (or 28554811 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 2431014124144 its reverse (4414214101342), we get a palindrome (6845228225486).

The spelling of 2431014124144 in words is "two trillion, four hundred thirty-one billion, fourteen million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 313 626 1252 2504 5008 5321 10642 21284 42568 85136 28554479 57108958 114217916 228435832 456871664 485426143 970852286 1941704572 3883409144 7766818288 8937551927 17875103854 35750207708 71500415416 143000830832 151938382759 303876765518 607753531036 1215507062072 2431014124144