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1314356430420 = 2232511897458611
BaseRepresentation
bin10011001000000101101…
…111111000011001010100
311122122120202111200102100
4103020011233320121110
5133013300221233140
62443450151442100
7163646656215555
oct23100557703124
94578522450370
101314356430420
11467462a37920
12192893386330
1396c35501397
144788812432c
15242c94b2530
hex13205bf8654

1314356430420 has 144 divisors (see below), whose sum is σ = 4398194324160. Its totient is φ = 315051686400.

The previous prime is 1314356430419. The next prime is 1314356430467. The reversal of 1314356430420 is 240346534131.

1314356430420 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 5 + 643 + 0 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3553086 + ... + 3905525.

It is an arithmetic number, because the mean of its divisors is an integer number (30543016140).

Almost surely, 21314356430420 is an apocalyptic number.

1314356430420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314356430420 is an abundant number, since it is smaller than the sum of its proper divisors (3083837893740).

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

1314356430420 is a wasteful number, since it uses less digits than its factorization.

1314356430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7458726 (or 7458721 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 1314356430420 in words is "one trillion, three hundred fourteen billion, three hundred fifty-six million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 89 90 99 110 132 165 178 180 198 220 267 330 356 396 445 495 534 660 801 890 979 990 1068 1335 1602 1780 1958 1980 2670 2937 3204 3916 4005 4895 5340 5874 8010 8811 9790 11748 14685 16020 17622 19580 29370 35244 44055 58740 88110 176220 7458611 14917222 22375833 29834444 37293055 44751666 67127499 74586110 82044721 89503332 111879165 134254998 149172220 164089442 223758330 246134163 268509996 328178884 335637495 410223605 447516660 492268326 663816379 671274990 738402489 820447210 984536652 1230670815 1327632758 1342549980 1476804978 1640894420 1991449137 2461341630 2655265516 2953609956 3319081895 3692012445 3982898274 4922683260 5974347411 6638163790 7301980169 7384024890 7965796548 9957245685 11948694822 13276327580 14603960338 14768049780 19914491370 21905940507 23897389644 29207920676 29871737055 36509900845 39828982740 43811881014 59743474110 65717821521 73019801690 87623762028 109529702535 119486948220 131435643042 146039603380 219059405070 262871286084 328589107605 438118810140 657178215210 1314356430420