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313054400000 = 2955195659
BaseRepresentation
bin1001000111000110111…
…11110000111000000000
31002221001022002020222102
410203203133300320000
520112113411300000
6355452030125532
731421531331506
oct4434337607000
91087038066872
10313054400000
11110847058231
12508093508a8
13236a0569654
141121abcc676
1582237a93d5
hex48e37f0e00

313054400000 has 120 divisors (see below), whose sum is σ = 781825663080. Its totient is φ = 125221120000.

The previous prime is 313054399993. The next prime is 313054400069. The reversal of 313054400000 is 4450313.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502171 + ... + 1697829.

It is an arithmetic number, because the mean of its divisors is an integer number (6515213859).

Almost surely, 2313054400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390912831540).

313054400000 is an abundant number, since it is smaller than the sum of its proper divisors (468771263080).

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

313054400000 is an frugal number, since it uses more digits than its factorization.

313054400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195702 (or 195666 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 313054400000 its reverse (4450313), we get a palindrome (313058850313).

The spelling of 313054400000 in words is "three hundred thirteen billion, fifty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 195659 200000 320000 391318 400000 782636 800000 978295 1565272 1600000 1956590 3130544 3913180 4891475 6261088 7826360 9782950 12522176 15652720 19565900 24457375 25044352 31305440 39131800 48914750 50088704 62610880 78263600 97829500 100177408 122286875 125221760 156527200 195659000 244573750 250443520 313054400 391318000 489147500 500887040 611434375 626108800 782636000 978295000 1222868750 1252217600 1565272000 1956590000 2445737500 2504435200 3130544000 3913180000 4891475000 6261088000 7826360000 9782950000 12522176000 15652720000 19565900000 31305440000 39131800000 62610880000 78263600000 156527200000 313054400000