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214012230440 = 235349106114449
BaseRepresentation
bin1100011101010000011…
…1110111101100101000
3202110101212202202002012
43013110013313230220
512001244112333230
6242152120455052
721314264641541
oct3072407675450
9673355682065
10214012230440
1182842363338
123558831a488
1317248320ba8
14a50305d4c8
1558786c1395
hex31d41f7b28

214012230440 has 64 divisors (see below), whose sum is σ = 483395850000. Its totient is φ = 85273251840.

The previous prime is 214012230433. The next prime is 214012230521. The reversal of 214012230440 is 44032210412.

It can be written as a sum of positive squares in 8 ways, for example, as 192898396804 + 21113833636 = 439202^2 + 145306^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14804336 + ... + 14818784.

Almost surely, 2214012230440 is an apocalyptic number.

214012230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012230440 is an abundant number, since it is smaller than the sum of its proper divisors (269383619560).

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

214012230440 is a wasteful number, since it uses less digits than its factorization.

214012230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15870 (or 15866 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 214012230440 its reverse (44032210412), we get a palindrome (258044440852).

The spelling of 214012230440 in words is "two hundred fourteen billion, twelve million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1061 1396 1745 2122 2792 3490 4244 5305 6980 8488 10610 13960 14449 21220 28898 42440 57796 72245 115592 144490 288980 370289 577960 740578 1481156 1851445 2962312 3702890 5042701 7405780 10085402 14811560 15330389 20170804 25213505 30660778 40341608 50427010 61321556 76651945 100854020 122643112 153303890 201708040 306607780 613215560 5350305761 10700611522 21401223044 26751528805 42802446088 53503057610 107006115220 214012230440