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314452144520 = 235472693731667
BaseRepresentation
bin1001001001101101100…
…11101111000110001000
31010001122201012000222222
410210312303233012020
520122444222111040
6400242440433212
731501263061433
oct4446663570610
91101581160888
10314452144520
111113a4046398
1250b39478808
1323864008607
14113106b481a
1582a6355bb5
hex4936cef188

314452144520 has 128 divisors (see below), whose sum is σ = 727637644800. Its totient is φ = 122244842496.

The previous prime is 314452144493. The next prime is 314452144537. The reversal of 314452144520 is 25441254413.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 188632727 + ... + 188634393.

It is an arithmetic number, because the mean of its divisors is an integer number (5684669100).

Almost surely, 2314452144520 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 314452144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363818822400).

314452144520 is an abundant number, since it is smaller than the sum of its proper divisors (413185500280).

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

314452144520 is a wasteful number, since it uses less digits than its factorization.

314452144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 314452144520 its reverse (25441254413), we get a palindrome (339893398933).

The spelling of 314452144520 in words is "three hundred fourteen billion, four hundred fifty-two million, one hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 269 373 376 470 538 746 940 1076 1345 1492 1667 1865 1880 2152 2690 2984 3334 3730 5380 6668 7460 8335 10760 12643 13336 14920 16670 17531 25286 33340 35062 50572 63215 66680 70124 78349 87655 100337 101144 126430 140248 156698 175310 200674 252860 313396 350620 391745 401348 448423 501685 505720 621791 626792 701240 783490 802696 896846 1003370 1243582 1566980 1793692 2006740 2242115 2487164 3108955 3133960 3587384 4013480 4484230 4715839 4974328 6217910 8968460 9431678 12435820 17936920 18863356 21075881 23579195 24871640 29224177 37726712 42151762 47158390 58448354 84303524 94316780 105379405 116896708 146120885 167261779 168607048 188633560 210758810 233793416 292241770 334523558 421517620 584483540 669047116 836308895 843035240 1168967080 1338094232 1672617790 3345235580 6690471160 7861303613 15722607226 31445214452 39306518065 62890428904 78613036130 157226072260 314452144520