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214234011040 = 2557732620279
BaseRepresentation
bin1100011110000101010…
…1111001010110100000
3202110222100002100212111
43013201111321112200
512002222401323130
6242230122205104
721322630022320
oct3074125712640
9673870070774
10214234011040
1182946572395
123562a653794
1317282262c0a
14a5246b1280
15588cdce02a
hex31e15795a0

214234011040 has 96 divisors (see below), whose sum is σ = 586355777280. Its totient is φ = 72445446144.

The previous prime is 214234011023. The next prime is 214234011127. The reversal of 214234011040 is 40110432412.

It is a happy number.

214234011040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142340110402 (a number of 23 digits) contains 22 as substring.

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, 1228380 + ... + 1391899.

It is an arithmetic number, because the mean of its divisors is an integer number (6107872680).

Almost surely, 2214234011040 is an apocalyptic number.

214234011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214234011040 is an abundant number, since it is smaller than the sum of its proper divisors (372121766240).

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

214234011040 is a wasteful number, since it uses less digits than its factorization.

214234011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620374 (or 2620366 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 214234011040 its reverse (40110432412), we get a palindrome (254344443452).

The spelling of 214234011040 in words is "two hundred fourteen billion, two hundred thirty-four million, eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 73 80 112 140 146 160 224 280 292 365 511 560 584 730 1022 1120 1168 1460 2044 2336 2555 2920 4088 5110 5840 8176 10220 11680 16352 20440 40880 81760 2620279 5240558 10481116 13101395 18341953 20962232 26202790 36683906 41924464 52405580 73367812 83848928 91709765 104811160 146735624 183419530 191280367 209622320 293471248 366839060 382560734 419244640 586942496 733678120 765121468 956401835 1338962569 1467356240 1530242936 1912803670 2677925138 2934712480 3060485872 3825607340 5355850276 6120971744 6694812845 7651214680 10711700552 13389625690 15302429360 21423401104 26779251380 30604858720 42846802208 53558502760 107117005520 214234011040