Search a number
-
+
3140432203344 = 243312239284857
BaseRepresentation
bin101101101100110000010…
…110001000111001010000
3102010020000010020100201120
4231230300112020321100
5402423101121001334
610402410013002240
7442613560201332
oct55546026107120
912106003210646
103140432203344
111000939120667
12428778483380
1319a1abaca307
14abdd7aad452
1556a5338a949
hex2db30588e50

3140432203344 has 120 divisors (see below), whose sum is σ = 8418032461440. Its totient is φ = 1008800432640.

The previous prime is 3140432203339. The next prime is 3140432203361. The reversal of 3140432203344 is 4433022340413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10882164 + ... + 11167020.

It is an arithmetic number, because the mean of its divisors is an integer number (70150270512).

Almost surely, 23140432203344 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 3140432203344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209016230720).

3140432203344 is an abundant number, since it is smaller than the sum of its proper divisors (5277600258096).

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

3140432203344 is a wasteful number, since it uses less digits than its factorization.

3140432203344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285169 (or 285132 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 3140432203344 its reverse (4433022340413), we get a palindrome (7573454543757).

The spelling of 3140432203344 in words is "three trillion, one hundred forty billion, four hundred thirty-two million, two hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 239 248 372 478 496 717 744 956 961 1434 1488 1912 1922 2868 2883 3824 3844 5736 5766 7409 7688 11472 11532 14818 15376 22227 23064 29636 44454 46128 59272 88908 118544 177816 229679 284857 355632 459358 569714 689037 854571 918716 1139428 1378074 1709142 1837432 2278856 2756148 3418284 3674864 4557712 5512296 6836568 8830567 11024592 13673136 17661134 26491701 35322268 52983402 68080823 70644536 105966804 136161646 141289072 204242469 211933608 272323292 273747577 408484938 423867216 544646584 547495154 816969876 821242731 1089293168 1094990308 1633939752 1642485462 2110505513 2189980616 3267879504 3284970924 4221011026 4379961232 6331516539 6569941848 8442022052 12663033078 13139883696 16884044104 25326066156 33768088208 50652132312 65425670903 101304264624 130851341806 196277012709 261702683612 392554025418 523405367224 785108050836 1046810734448 1570216101672 3140432203344