Search a number
-
+
13401020340 = 22325192206233
BaseRepresentation
bin11000111101100001…
…10101011110110100
31021120221101100221200
430132300311132310
5204421130122330
610053434212500
7653042536101
oct143660653664
937527340850
1013401020340
115757587a24
12271bb84130
1313574ac846
14911b17aa8
15536767a60
hex31ec357b4

13401020340 has 108 divisors (see below), whose sum is σ = 42902034084. Its totient is φ = 3385504512.

The previous prime is 13401020251. The next prime is 13401020363. The reversal of 13401020340 is 4302010431.

It can be written as a sum of positive squares in 2 ways, for example, as 9927332496 + 3473687844 = 99636^2 + 58938^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38137 + ... + 168096.

Almost surely, 213401020340 is an apocalyptic number.

13401020340 is a gapful number since it is divisible by the number (10) 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 13401020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21451017042).

13401020340 is an abundant number, since it is smaller than the sum of its proper divisors (29501013744).

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

13401020340 is a wasteful number, since it uses less digits than its factorization.

13401020340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206286 (or 206262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13401020340 its reverse (4302010431), we get a palindrome (17703030771).

Subtracting from 13401020340 its reverse (4302010431), we obtain a palindrome (9099009909).

The spelling of 13401020340 in words is "thirteen billion, four hundred one million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1710 1805 2166 3249 3420 3610 4332 5415 6498 7220 10830 12996 16245 21660 32490 64980 206233 412466 618699 824932 1031165 1237398 1856097 2062330 2474796 3093495 3712194 3918427 4124660 6186990 7424388 7836854 9280485 11755281 12373980 15673708 18560970 19592135 23510562 35265843 37121940 39184270 47021124 58776405 70531686 74450113 78368540 117552810 141063372 148900226 176329215 223350339 235105620 297800452 352658430 372250565 446700678 670051017 705316860 744501130 893401356 1116751695 1340102034 1489002260 2233503390 2680204068 3350255085 4467006780 6700510170 13401020340