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10340143242 = 23111326345823
BaseRepresentation
bin10011010000101001…
…00001000010001010
3222200121210200221020
421220110201002022
5132134034040432
64430013053310
7514144524132
oct115024410212
928617720836
1010340143242
114426817730
122006a87236
13c8a302070
147013c5ac2
15407b9b22c
hex26852108a

10340143242 has 64 divisors (see below), whose sum is σ = 24388632576. Its totient is φ = 2881287360.

The previous prime is 10340143241. The next prime is 10340143267. The reversal of 10340143242 is 24234104301.

It is not an unprimeable number, because it can be changed into a prime (10340143241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202743 + ... + 248565.

It is an arithmetic number, because the mean of its divisors is an integer number (381072384).

Almost surely, 210340143242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340143242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194316288).

10340143242 is an abundant number, since it is smaller than the sum of its proper divisors (14048489334).

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

10340143242 is a wasteful number, since it uses less digits than its factorization.

10340143242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46115.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10340143242 its reverse (24234104301), we get a palindrome (34574247543).

The spelling of 10340143242 in words is "ten billion, three hundred forty million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 263 286 429 526 789 858 1578 2893 3419 5786 6838 8679 10257 17358 20514 37609 45823 75218 91646 112827 137469 225654 274938 504053 595699 1008106 1191398 1512159 1787097 3024318 3574194 6552689 12051449 13105378 19658067 24102898 36154347 39316134 72308694 132565939 156668837 265131878 313337674 397697817 470006511 795395634 940013022 1723357207 3446714414 5170071621 10340143242