Search a number
-
+
13433240000 = 2654418191
BaseRepresentation
bin11001000001010111…
…01111100111000000
31021200012000022000102
430200223233213000
5210002402140000
610100544541532
7653613441005
oct144053574700
937605008012
1013433240000
115773794044
12272a9218a8
131361080c2b
149161038ac
155394ce3d5
hex320aef9c0

13433240000 has 140 divisors (see below), whose sum is σ = 34126675968. Its totient is φ = 5241600000.

The previous prime is 13433239997. The next prime is 13433240003. The reversal of 13433240000 is 4233431.

It is an interprime number because it is at equal distance from previous prime (13433239997) and next prime (13433240003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1635905 + ... + 1644095.

Almost surely, 213433240000 is an apocalyptic number.

13433240000 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 13433240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063337984).

13433240000 is an abundant number, since it is smaller than the sum of its proper divisors (20693435968).

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

13433240000 is an frugal number, since it uses more digits than its factorization.

13433240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13433240000 its reverse (4233431), we get a palindrome (13437473431).

The spelling of 13433240000 in words is "thirteen billion, four hundred thirty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1600 1640 2000 2050 2500 2624 3280 4000 4100 5000 5125 6560 8000 8191 8200 10000 10250 13120 16382 16400 20000 20500 25625 32764 32800 40000 40955 41000 51250 65528 65600 81910 82000 102500 131056 163820 164000 204775 205000 262112 327640 328000 335831 409550 410000 524224 655280 671662 819100 820000 1023875 1310560 1343324 1638200 1640000 1679155 2047750 2621120 2686648 3276400 3358310 4095500 5119375 5373296 6552800 6716620 8191000 8395775 10238750 10746592 13105600 13433240 16382000 16791550 20477500 21493184 26866480 32764000 33583100 40955000 41978875 53732960 65528000 67166200 81910000 83957750 107465920 134332400 163820000 167915500 209894375 268664800 327640000 335831000 419788750 537329600 671662000 839577500 1343324000 1679155000 2686648000 3358310000 6716620000 13433240000