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2400314344131 = 311432905958211
BaseRepresentation
bin100010111011011101111…
…000100100001011000011
322111110122000220120001010
4202323131320210023003
5303311320433003011
65034404510412003
7335263012200204
oct42733570441303
98443560816033
102400314344131
11845a70964620
12329244501003
1314546c053452
14842666bb5ab
15426872ba1a6
hex22edde242c3

2400314344131 has 32 divisors (see below), whose sum is σ = 3572745200640. Its totient is φ = 1420831591200.

The previous prime is 2400314344079. The next prime is 2400314344151. The reversal of 2400314344131 is 1314434130042.

2400314344131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2400314344131 - 29 = 2400314343619 is a prime.

It is a super-2 number, since 2×24003143441312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400314344151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41205616 + ... + 41263826.

It is an arithmetic number, because the mean of its divisors is an integer number (111648287520).

Almost surely, 22400314344131 is an apocalyptic number.

2400314344131 is a deficient number, since it is larger than the sum of its proper divisors (1172430856509).

2400314344131 is a wasteful number, since it uses less digits than its factorization.

2400314344131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87327.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2400314344131 its reverse (1314434130042), we get a palindrome (3714748474173).

The spelling of 2400314344131 in words is "two trillion, four hundred billion, three hundred fourteen million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 43 129 473 1419 29059 58211 87177 174633 319649 640321 958947 1249537 1920963 2503073 3748611 7509219 13744907 27533803 41234721 82601409 1691553449 5074660347 18607087939 55821263817 72736798307 218210394921 800104781377 2400314344131