Search a number
-
+
342244203040 = 25514963122751
BaseRepresentation
bin1001111101011110101…
…10000001101000100000
31012201101120211220001201
410332233112001220200
521101404003444130
6421120321010544
733504062504215
oct4765726015040
91181346756051
10342244203040
11122165a262a3
12563b4a83a54
1326372b1b45c
14127c97b5b0c
158d811e4bca
hex4faf581a20

342244203040 has 96 divisors (see below), whose sum is σ = 815304268800. Its totient is φ = 135757440000.

The previous prime is 342244203017. The next prime is 342244203061. The reversal of 342244203040 is 40302442243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15031665 + ... + 15054415.

It is an arithmetic number, because the mean of its divisors is an integer number (8492752800).

Almost surely, 2342244203040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342244203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407652134400).

342244203040 is an abundant number, since it is smaller than the sum of its proper divisors (473060065760).

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

342244203040 is a wasteful number, since it uses less digits than its factorization.

342244203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23546 (or 23538 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 342244203040 its reverse (40302442243), we get a palindrome (382546645283).

The spelling of 342244203040 in words is "three hundred forty-two billion, two hundred forty-four million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 631 745 1192 1262 1490 2384 2524 2980 3155 4768 5048 5960 6310 10096 11920 12620 20192 22751 23840 25240 45502 50480 91004 94019 100960 113755 182008 188038 227510 364016 376076 455020 470095 728032 752152 910040 940190 1504304 1820080 1880380 3008608 3389899 3640160 3760760 6779798 7521520 13559596 14355881 15043040 16949495 27119192 28711762 33898990 54238384 57423524 67797980 71779405 108476768 114847048 135595960 143558810 229694096 271191920 287117620 459388192 542383840 574235240 1148470480 2139026269 2296940960 4278052538 8556105076 10695131345 17112210152 21390262690 34224420304 42780525380 68448840608 85561050760 171122101520 342244203040