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214432341323004 = 223276947122487691
BaseRepresentation
bin110000110000011001101011…
…100010000110110011111100
31001010020112100120000211001200
4300300121223202012303330
5211101224413334314004
62040020505131335500
763111140213414550
oct6060315342066374
91033215316024050
10214432341323004
1162363277489a52
12200725112b1590
139285b62cc917c
143ad481b607860
1519bcd25ce5239
hexc3066b886cfc

214432341323004 has 72 divisors (see below), whose sum is σ = 619560384363648. Its totient is φ = 61257563621280.

The previous prime is 214432341322967. The next prime is 214432341323041. The reversal of 214432341323004 is 400323143234412.

214432341323004 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 2 + 3 + 413 + 230 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214432341322967) and next prime (214432341323041).

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

It is a self number, because there is not a number n which added to its sum of digits gives 214432341323004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59493202 + ... + 62994489.

It is an arithmetic number, because the mean of its divisors is an integer number (8605005338384).

Almost surely, 2214432341323004 is an apocalyptic number.

It is an amenable number.

214432341323004 is an abundant number, since it is smaller than the sum of its proper divisors (405128043040644).

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

214432341323004 is a wasteful number, since it uses less digits than its factorization.

214432341323004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122494655 (or 122494650 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 214432341323004 its reverse (400323143234412), we get a palindrome (614755484557416).

The spelling of 214432341323004 in words is "two hundred fourteen trillion, four hundred thirty-two billion, three hundred forty-one million, three hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 6947 13894 20841 27788 41682 48629 62523 83364 97258 125046 145887 194516 250092 291774 437661 583548 875322 1750644 122487691 244975382 367463073 489950764 734926146 857413837 1102389219 1469852292 1714827674 2204778438 2572241511 3429655348 4409556876 5144483022 7716724533 10288966044 15433449066 30866898132 850921989377 1701843978754 2552765968131 3403687957508 5105531936262 5956453925639 7658297904393 10211063872524 11912907851278 15316595808786 17869361776917 23825815702556 30633191617572 35738723553834 53608085330751 71477447107668 107216170661502 214432341323004