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314644532220020 = 225671076773241477
BaseRepresentation
bin100011110001010101110001…
…1100100101101000001110100
31112021001201112102221202200002
41013202223203210231001310
5312220114000222020040
63033105411433410432
7123163213553463002
oct10742534344550164
91467051472852602
10314644532220020
1191289aa6743722
122b358275269a18
1310674b100138c2
14579ac3b60ba72
15265995de16a15
hex11e2ae392d074

314644532220020 has 96 divisors (see below), whose sum is σ = 677882981365632. Its totient is φ = 122639195847168.

The previous prime is 314644532219977. The next prime is 314644532220023. The reversal of 314644532220020 is 20022235446413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314644532220023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95447522 + ... + 98688998.

It is an arithmetic number, because the mean of its divisors is an integer number (7061281055892).

Almost surely, 2314644532220020 is an apocalyptic number.

It is an amenable number.

314644532220020 is an abundant number, since it is smaller than the sum of its proper divisors (363238449145612).

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

314644532220020 is a wasteful number, since it uses less digits than its factorization.

314644532220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242337 (or 3242335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 314644532220020 its reverse (20022235446413), we get a palindrome (334666767666433).

The spelling of 314644532220020 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred thirty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 67 107 134 214 268 335 428 535 670 677 1070 1340 1354 2140 2708 3385 6770 7169 13540 14338 28676 35845 45359 71690 72439 90718 143380 144878 181436 226795 289756 362195 453590 724390 907180 1448780 3241477 4853413 6482954 9706826 12965908 16207385 19413652 24267065 32414770 48534130 64829540 97068260 217178959 346838039 434357918 693676078 868715836 1085894795 1387352156 1734190195 2171789590 2194479929 3468380390 4343579180 4388959858 6936760780 8777919716 10972399645 21944799290 23238148613 43889598580 46476297226 92952594452 116190743065 147030155243 232381486130 234809352403 294060310486 464762972260 469618704806 588120620972 735150776215 939237409612 1174046762015 1470301552430 2348093524030 2940603104860 4696187048060 15732226611001 31464453222002 62928906444004 78661133055005 157322266110010 314644532220020