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214210343012412 = 223731373794709519
BaseRepresentation
bin110000101101001010111011…
…011001110000100000111100
31001002110022100010001011112010
4300231022323121300200330
5211034110240302344122
62035330512325211220
763056120664046335
oct6055127331604074
91032408303034463
10214210343012412
11622881071a647a
1220037496560b10
13926ac442c9c86
143ac7b9baa528c
1519b7181477e0c
hexc2d2bb67083c

214210343012412 has 96 divisors (see below), whose sum is σ = 511716098073600. Its totient is φ = 69726787587072.

The previous prime is 214210343012399. The next prime is 214210343012441.

It is a happy number.

214210343012412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214210343012412.

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 31 ways as a sum of consecutive naturals, for example, 43129789 + ... + 47839307.

It is an arithmetic number, because the mean of its divisors is an integer number (5330376021600).

Almost surely, 2214210343012412 is an apocalyptic number.

It is an amenable number.

214210343012412 is an abundant number, since it is smaller than the sum of its proper divisors (297505755061188).

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

214210343012412 is a wasteful number, since it uses less digits than its factorization.

214210343012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710115 (or 4710113 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 214210343012412 in words is "two hundred fourteen trillion, two hundred ten billion, three hundred forty-three million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 379 411 438 548 758 822 876 1137 1516 1644 2274 4548 10001 20002 27667 30003 40004 51923 55334 60006 83001 103846 110668 120012 155769 166002 207692 311538 332004 623076 3790379 4709519 7580758 9419038 11371137 14128557 15161516 18838076 22742274 28257114 45484548 56514228 343794887 645204103 687589774 1031384661 1290408206 1375179548 1784907701 1935612309 2062769322 2580816412 3569815402 3871224618 4125538644 5354723103 7139630804 7742449236 10709446206 21418892412 47099899519 94199799038 130298262173 141299698557 188399598076 244532355037 260596524346 282599397114 390894786519 489064710074 521193048692 565198794228 733597065111 781789573038 978129420148 1467194130222 1563579146076 2934388260444 17850861917701 35701723835402 53552585753103 71403447670804 107105171506206 214210343012412