Search a number
-
+
13341454640 = 2452919729191
BaseRepresentation
bin11000110110011011…
…00111000100110000
31021102210022010011122
430123031213010300
5204310403022030
610043505401412
7651420331133
oct143315470460
937383263148
1013341454640
1157269a3378
122704039268
131348055477
14907c5021a
155313ed8e5
hex31b367130

13341454640 has 80 divisors (see below), whose sum is σ = 32252489280. Its totient is φ = 5126231040.

The previous prime is 13341454619. The next prime is 13341454661. The reversal of 13341454640 is 4645414331.

It is an interprime number because it is at equal distance from previous prime (13341454619) and next prime (13341454661).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×133414546402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13341454640.

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, 442445 + ... + 471635.

It is an arithmetic number, because the mean of its divisors is an integer number (403156116).

Almost surely, 213341454640 is an apocalyptic number.

13341454640 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 13341454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16126244640).

13341454640 is an abundant number, since it is smaller than the sum of its proper divisors (18911034640).

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

13341454640 is a wasteful number, since it uses less digits than its factorization.

13341454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29430 (or 29424 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 13341454640 its reverse (4645414331), we get a palindrome (17986868971).

The spelling of 13341454640 in words is "thirteen billion, three hundred forty-one million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 197 232 290 394 464 580 788 985 1160 1576 1970 2320 3152 3940 5713 7880 11426 15760 22852 28565 29191 45704 57130 58382 91408 114260 116764 145955 228520 233528 291910 457040 467056 583820 846539 1167640 1693078 2335280 3386156 4232695 5750627 6772312 8465390 11501254 13544624 16930780 23002508 28753135 33861560 46005016 57506270 67723120 92010032 115012540 166768183 230025080 333536366 460050160 667072732 833840915 1334145464 1667681830 2668290928 3335363660 6670727320 13341454640