Search a number
-
+
2342426251340 = 2257312143251857
BaseRepresentation
bin100010000101100011011…
…111000001000001001100
322021221012201020202100102
4202011203133001001030
5301334242110020330
64552032403550232
7331143335421320
oct42054337010114
98257181222312
102342426251340
1182346560871a
12319b8998b378
1313cb74cc2ac6
14815344d3980
1540dea182945
hex221637c104c

2342426251340 has 96 divisors (see below), whose sum is σ = 5805903151104. Its totient is φ = 776844794880.

The previous prime is 2342426251331. The next prime is 2342426251351. The reversal of 2342426251340 is 431526242432.

It is a junction number, because it is equal to n+sod(n) for n = 2342426251294 and 2342426251303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9174692 + ... + 9426548.

It is an arithmetic number, because the mean of its divisors is an integer number (60478157824).

Almost surely, 22342426251340 is an apocalyptic number.

2342426251340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342426251340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902951575552).

2342426251340 is an abundant number, since it is smaller than the sum of its proper divisors (3463476899764).

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

2342426251340 is a wasteful number, since it uses less digits than its factorization.

2342426251340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254047 (or 254045 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 2342426251340 in words is "two trillion, three hundred forty-two billion, four hundred twenty-six million, two hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2143 2170 4286 4340 8572 10715 15001 21430 30002 42860 60004 66433 75005 132866 150010 251857 265732 300020 332165 465031 503714 664330 930062 1007428 1259285 1328660 1762999 1860124 2325155 2518570 3525998 4650310 5037140 7051996 7807567 8814995 9300620 15615134 17629990 31230268 35259980 39037835 54652969 78075670 109305938 156151340 218611876 273264845 539729551 546529690 1079459102 1093059380 2158918204 2698647755 3778106857 5397295510 7556213714 10794591020 15112427428 16731616081 18890534285 33463232162 37781068570 66926464324 75562137140 83658080405 117121312567 167316160810 234242625134 334632321620 468485250268 585606562835 1171213125670 2342426251340