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13434143220 = 22365921409
BaseRepresentation
bin11001000001011110…
…01100000111110100
31021200020201012000000
430200233030013310
5210003120040340
610101020151300
7653624222211
oct144057140764
937606635000
1013434143220
115774250703
12272b098530
131361309094
1491629ab08
1553960bd30
hex320bcc1f4

13434143220 has 84 divisors (see below), whose sum is σ = 42298247460. Its totient is φ = 3582434304.

The previous prime is 13434143197. The next prime is 13434143221. The reversal of 13434143220 is 2234143431.

13434143220 is a `hidden beast` number, since 1 + 3 + 434 + 1 + 4 + 3 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1571012496 + 11863130724 = 39636^2 + 108918^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434143221) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 446125 + ... + 475284.

It is an arithmetic number, because the mean of its divisors is an integer number (503550565).

Almost surely, 213434143220 is an apocalyptic number.

13434143220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434143220 is an abundant number, since it is smaller than the sum of its proper divisors (28864104240).

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

13434143220 is an equidigital number, since it uses as much as digits as its factorization.

13434143220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921436 (or 921419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13434143220 its reverse (2234143431), we get a palindrome (15668286651).

The spelling of 13434143220 in words is "thirteen billion, four hundred thirty-four million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 921409 1842818 2764227 3685636 4607045 5528454 8292681 9214090 11056908 13821135 16585362 18428180 24878043 27642270 33170724 41463405 49756086 55284540 74634129 82926810 99512172 124390215 149268258 165853620 223902387 248780430 298536516 373170645 447804774 497560860 671707161 746341290 895609548 1119511935 1343414322 1492682580 2239023870 2686828644 3358535805 4478047740 6717071610 13434143220