Search a number
-
+
1241401014 = 232731893571
BaseRepresentation
bin100100111111110…
…0100011010110110
310012111220201001100
41021333210122312
510020244313024
6323103310530
742522506640
oct11177443266
93174821040
101241401014
11587813a57
122a78ab446
1316a25b919
14bac29890
1573eb77c9
hex49fe46b6

1241401014 has 96 divisors (see below), whose sum is σ = 3209656320. Its totient is φ = 339292800.

The previous prime is 1241401001. The next prime is 1241401061. The reversal of 1241401014 is 4101041421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345849 + ... + 349419.

It is an arithmetic number, because the mean of its divisors is an integer number (33433920).

Almost surely, 21241401014 is an apocalyptic number.

1241401014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241401014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604828160).

1241401014 is an abundant number, since it is smaller than the sum of its proper divisors (1968255306).

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

1241401014 is a wasteful number, since it uses less digits than its factorization.

1241401014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1241401014 is about 35233.5211694772. The cubic root of 1241401014 is about 1074.7415319470.

Adding to 1241401014 its reverse (4101041421), we get a palindrome (5342442435).

The spelling of 1241401014 in words is "one billion, two hundred forty-one million, four hundred one thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 89 93 126 178 186 217 267 279 434 534 558 623 651 801 1246 1302 1602 1869 1953 2759 3571 3738 3906 5518 5607 7142 8277 10713 11214 16554 19313 21426 24831 24997 32139 38626 49662 49994 57939 64278 74991 110701 115878 149982 173817 221402 224973 317819 332103 347634 449946 635638 664206 774907 953457 996309 1549814 1906914 1992618 2224733 2324721 2860371 4449466 4649442 5720742 6674199 6974163 9852389 13348398 13948326 19704778 20022597 29557167 40045194 59114334 68966723 88671501 137933446 177343002 206900169 413800338 620700507 1241401014