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214743281436 = 223347247317107
BaseRepresentation
bin1100011111111110110…
…0100110111100011100
3202112021211100222112000
43013333230212330130
512004243240001221
6242352433442300
721341352526545
oct3077754467434
9675254328460
10214743281436
1183087a90812
1235751110390
1317333912748
14a57219b4cc
1558bc978e26
hex31ffb26f1c

214743281436 has 96 divisors (see below), whose sum is σ = 568850580480. Its totient is φ = 70025668992.

The previous prime is 214743281429. The next prime is 214743281491. The reversal of 214743281436 is 634182347412.

214743281436 is a `hidden beast` number, since 2 + 1 + 474 + 32 + 8 + 143 + 6 = 666.

It is a super-2 number, since 2×2147432814362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214743281391 and 214743281400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12544395 + ... + 12561501.

It is an arithmetic number, because the mean of its divisors is an integer number (5925526880).

Almost surely, 2214743281436 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 214743281436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284425290240).

214743281436 is an abundant number, since it is smaller than the sum of its proper divisors (354107299044).

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

214743281436 is a wasteful number, since it uses less digits than its factorization.

214743281436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19640 (or 19632 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 214743281436 in words is "two hundred fourteen billion, seven hundred forty-three million, two hundred eighty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2473 2538 4946 5076 7419 9892 14838 17107 22257 29676 34214 44514 51321 66771 68428 89028 102642 116231 133542 153963 205284 232462 267084 307926 348693 461889 464924 615852 697386 804029 923778 1046079 1394772 1608058 1847556 2092158 2412087 3138237 3216116 4184316 4824174 6276474 7236261 9648348 12552948 14472522 21708783 28945044 42305611 43417566 84611222 86835132 126916833 169222444 253833666 380750499 507667332 761500998 1142251497 1523001996 1988363717 2284502994 3976727434 4569005988 5965091151 7953454868 11930182302 17895273453 23860364604 35790546906 53685820359 71581093812 107371640718 214743281436