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31424266242413 = 11731372333473533
BaseRepresentation
bin1110010010100100010000…
…01110100000100101101101
311010021010112010220101120222
413021102020032200211231
513104323344124224123
6150500035243421125
76422220416610542
oct711221016404555
9133233463811528
1031424266242413
11a015a58079440
1236362972247a5
13146c3ac550b35
147a8d2a6d8bc9
1539763d4bb6c8
hex1c94883a096d

31424266242413 has 64 divisors (see below), whose sum is σ = 35265796630272. Its totient is φ = 27762347335680.

The previous prime is 31424266242361. The next prime is 31424266242433.

31424266242413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31424266242413 - 26 = 31424266242349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31424266242433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8894497595 + ... + 8894501127.

It is an arithmetic number, because the mean of its divisors is an integer number (551028072348).

Almost surely, 231424266242413 is an apocalyptic number.

It is an amenable number.

31424266242413 is a deficient number, since it is larger than the sum of its proper divisors (3841530387859).

31424266242413 is a wasteful number, since it uses less digits than its factorization.

31424266242413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334.

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 3142426 and 6242413, that added together give a palindrome (9384839).

The spelling of 31424266242413 in words is "thirty-one trillion, four hundred twenty-four billion, two hundred sixty-six million, two hundred forty-two thousand, four hundred thirteen".

Divisors: 1 11 73 137 233 347 803 1507 2563 3533 3817 10001 17009 25331 31921 38863 47539 80851 110011 187099 257909 278641 351131 484021 522929 823189 889361 1225951 2330233 2836999 3470347 5324231 5902123 9055079 11076587 13485461 25632563 35333533 38173817 60092797 64923353 89494423 112776893 121842457 167955287 285646583 388668863 661020767 808590851 984438653 1240545823 1847508157 3142112413 8232713189 8894499361 12260735951 20852200559 39133581871 90559845079 134868095461 229374206149 430469400581 2856751476583 31424266242413