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14327155620 = 223251741114197
BaseRepresentation
bin11010101011111011…
…10000101110100100
31100222111001220201100
431111331300232210
5213320222434440
610325400400100
71015016546001
oct152575605644
940874056640
1014327155620
116092340088
12293a176030
13147432709b
1499cb188a8
1558cc08230
hex355f70ba4

14327155620 has 144 divisors (see below), whose sum is σ = 47138193648. Its totient is φ = 3508101120.

The previous prime is 14327155597. The next prime is 14327155627. The reversal of 14327155620 is 2655172341.

14327155620 is a `hidden beast` number, since 1 + 4 + 3 + 27 + 1 + 5 + 5 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89415936 + 14237739684 = 9456^2 + 119322^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14327155627) by changing a digit.

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, 68362 + ... + 182558.

It is an arithmetic number, because the mean of its divisors is an integer number (327348567).

Almost surely, 214327155620 is an apocalyptic number.

14327155620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14327155620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569096824).

14327155620 is an abundant number, since it is smaller than the sum of its proper divisors (32811038028).

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

14327155620 is a wasteful number, since it uses less digits than its factorization.

14327155620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114270 (or 114265 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

It can be divided in two parts, 143271 and 55620, that added together give a palindrome (198891).

The spelling of 14327155620 in words is "fourteen billion, three hundred twenty-seven million, one hundred fifty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 62730 114197 125460 228394 342591 456788 570985 685182 1027773 1141970 1370364 1712955 1941349 2055546 2283940 3425910 3882698 4111092 4682077 5138865 5824047 6851820 7765396 9364154 9706745 10277730 11648094 14046231 17472141 18728308 19413490 20555460 23296188 23410385 28092462 29120235 34944282 38826980 42138693 46820770 56184924 58240470 69888564 70231155 79595309 84277386 87360705 93641540 116480940 140462310 159190618 168554772 174721410 210693465 238785927 280924620 318381236 349442820 397976545 421386930 477571854 716357781 795953090 842773860 955143708 1193929635 1432715562 1591906180 2387859270 2865431124 3581788905 4775718540 7163577810 14327155620