Search a number
-
+
2404032141342 = 2313107915131477
BaseRepresentation
bin100010111110111011011…
…110110101100000011110
322111211020010121020001010
4202332323132311200132
5303341424212010332
65040221440000050
7335454105020136
oct42767336654036
98454203536033
102404032141342
118475a951a6a7
12329b01600026
13145912368960
14844da371ac6
15428038999cc
hex22fbb7b581e

2404032141342 has 64 divisors (see below), whose sum is σ = 5227044286464. Its totient is φ = 732685737600.

The previous prime is 2404032141337. The next prime is 2404032141347. The reversal of 2404032141342 is 2431412304042.

It is an interprime number because it is at equal distance from previous prime (2404032141337) and next prime (2404032141347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404032141347) 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, 76358508 + ... + 76389984.

It is an arithmetic number, because the mean of its divisors is an integer number (81672566976).

Almost surely, 22404032141342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404032141342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613522143232).

2404032141342 is an abundant number, since it is smaller than the sum of its proper divisors (2823012145122).

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

2404032141342 is a wasteful number, since it uses less digits than its factorization.

2404032141342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40753.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2404032141342 its reverse (2431412304042), we get a palindrome (4835444445384).

The spelling of 2404032141342 in words is "two trillion, four hundred four billion, thirty-two million, one hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 8346 9151 18302 27453 31477 54906 62954 94431 118963 188862 237926 356889 409201 713778 818402 979157 1227603 1958314 2455206 2937471 3368039 5874942 6736078 10104117 12729041 20208234 25458082 38187123 43784507 76374246 87569014 131353521 262707042 288046027 576092054 864138081 1728276162 3744598351 7489196702 11233795053 22467590106 30820924889 61641849778 92462774667 184925549334 400672023557 801344047114 1202016070671 2404032141342