Search a number
-
+
334024323140300 = 2252131913523251949
BaseRepresentation
bin100101111110010110001100…
…1001000001000101011001100
31121210200102011101121121010112
41023330230121020020223030
5322240123303210442200
63142224353342455152
7130233314053361042
oct11374543110105314
91553612141547115
10334024323140300
1197480a13464491
1231568199b944b8
131144c4878794b0
145c6ac13636392
152893b14b64535
hex12fcb19208acc

334024323140300 has 72 divisors (see below), whose sum is σ = 821672788482000. Its totient is φ = 116840896830720.

The previous prime is 334024323140293. The next prime is 334024323140311. The reversal of 334024323140300 is 3041323420433.

It is a super-2 number, since 2×3340243231403002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6761601275 + ... + 6761650674.

It is an arithmetic number, because the mean of its divisors is an integer number (11412122062250).

Almost surely, 2334024323140300 is an apocalyptic number.

It is an amenable number.

334024323140300 is an abundant number, since it is smaller than the sum of its proper divisors (487648465341700).

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

334024323140300 is a wasteful number, since it uses less digits than its factorization.

334024323140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13523251995 (or 13523251988 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 334024323140300 its reverse (3041323420433), we get a palindrome (337065646560733).

The spelling of 334024323140300 in words is "three hundred thirty-four trillion, twenty-four billion, three hundred twenty-three million, one hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 13523251949 27046503898 54093007796 67616259745 135232519490 175802275337 256941787031 270465038980 338081298725 351604550674 513883574062 676162597450 703209101348 879011376685 1027767148124 1284708935155 1352325194900 1758022753370 2569417870310 3340243231403 3516045506740 4395056883425 5138835740620 6423544675775 6680486462806 8790113766850 12847089351550 13360972925612 16701216157015 17580227533700 25694178703100 33402432314030 66804864628060 83506080785075 167012161570150 334024323140300