Search a number
-
+
313400051551200 = 253521199531088621
BaseRepresentation
bin100011101000010010010001…
…0101111101100101111100000
31112002122202022110000120002010
41013100210202233230233200
5312034221301144114300
63030313555053552520
7123004256302360515
oct10720444257545740
91462582273016063
10313400051551200
119094a240861809
122b1970431a5740
13105b46622aaa23
1457569017dd30c
1526373c41c3a50
hex11d0922becbe0

313400051551200 has 144 divisors (see below), whose sum is σ = 1020126609187056. Its totient is φ = 83572573593600.

The previous prime is 313400051551189. The next prime is 313400051551273. The reversal of 313400051551200 is 2155150004313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287342890 + ... + 288431510.

It is an arithmetic number, because the mean of its divisors is an integer number (7084212563799).

Almost surely, 2313400051551200 is an apocalyptic number.

313400051551200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313400051551200 is an abundant number, since it is smaller than the sum of its proper divisors (706726557635856).

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

313400051551200 is a wasteful number, since it uses less digits than its factorization.

313400051551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208597 (or 1208584 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 313400051551200 in words is "three hundred thirteen trillion, four hundred billion, fifty-one million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 119953 239906 359859 479812 599765 719718 959624 1088621 1199530 1439436 1799295 1919248 2177242 2399060 2878872 2998825 3265863 3598590 3838496 4354484 4798120 5443105 5757744 5997650 6531726 7197180 8708968 8996475 9596240 10886210 11515488 11995300 13063452 14394360 16329315 17417936 17992950 19192480 21772420 23990600 26126904 27215525 28788720 32658630 34835872 35985900 43544840 47981200 52253808 54431050 57577440 65317260 71971800 81646575 87089680 95962400 104507616 108862100 130634520 143943600 163293150 174179360 217724200 261269040 287887200 326586300 435448400 522538080 653172600 870896800 1306345200 2612690400 130583354813 261166709626 391750064439 522333419252 652916774065 783500128878 1044666838504 1305833548130 1567000257756 1958750322195 2089333677008 2611667096260 3134000515512 3264583870325 3917500644390 4178667354016 5223334192520 6268001031024 6529167740650 7835001288780 9793751610975 10446668385040 12536002062048 13058335481300 15670002577560 19587503221950 20893336770080 26116670962600 31340005155120 39175006443900 52233341925200 62680010310240 78350012887800 104466683850400 156700025775600 313400051551200