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313384724924920 = 235111919829379387
BaseRepresentation
bin100011101000001011001000…
…1001101010000100111111000
31112002121021202022021021100221
41013100112101031100213320
5312033443404040044140
63030302542151105424
7123003204425244055
oct10720262115204770
91462537668237327
10313384724924920
119094379632a620
122b194086372274
13105b308bba06ac
145755c8a07402c
152636cc889114a
hex11d05913509f8

313384724924920 has 128 divisors (see below), whose sum is σ = 773325074534400. Its totient is φ = 113349610483200.

The previous prime is 313384724924903. The next prime is 313384724924959. The reversal of 313384724924920 is 29429427483313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825839467 + ... + 826218853.

It is an arithmetic number, because the mean of its divisors is an integer number (6041602144800).

Almost surely, 2313384724924920 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 313384724924920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386662537267200).

313384724924920 is an abundant number, since it is smaller than the sum of its proper divisors (459940349609480).

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

313384724924920 is a wasteful number, since it uses less digits than its factorization.

313384724924920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389429 (or 389425 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 61.

The spelling of 313384724924920 in words is "three hundred thirteen trillion, three hundred eighty-four billion, seven hundred twenty-four million, nine hundred twenty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 382 440 764 955 1528 1910 2101 3820 4202 7640 8404 9829 10505 16808 19658 21010 39316 42020 49145 78632 84040 98290 108119 196580 216238 379387 393160 432476 540595 758774 864952 1081190 1517548 1877339 1896935 2162380 3035096 3754678 3793870 4173257 4324760 7509356 7587740 8346514 9386695 15018712 15175480 16693028 18773390 20650729 20866285 33386056 37546780 41301458 41732570 72462917 75093560 82602916 83465140 103253645 144925834 165205832 166930280 206507290 289851668 362314585 413014580 579703336 724629170 797092087 826029160 1449258340 1594184174 2898516680 3188368348 3728994823 3985460435 6376736696 7457989646 7970920870 14915979292 15941841740 18644974115 29831958584 31883683480 37289948230 41018943053 74579896460 82037886106 149159792920 164075772212 205094715265 328151544424 410189430530 712238011193 820378861060 1424476022386 1640757722120 2848952044772 3561190055965 5697904089544 7122380111930 7834618123123 14244760223860 15669236246246 28489520447720 31338472492492 39173090615615 62676944984984 78346181231230 156692362462460 313384724924920