Search a number
-
+
158300138214 = 237109547607
BaseRepresentation
bin1001001101101101101…
…1000110101011100110
3120010121012122020000000
42103123123012223212
510043144313410324
6200415545202130
714302552654641
oct2233333065346
9503535566000
10158300138214
1161153334909
122681a490346
1311c0a03b24a
147939c66a58
1541b76149c9
hex24db6c6ae6

158300138214 has 128 divisors (see below), whose sum is σ = 360638361600. Its totient is φ = 52101058464.

The previous prime is 158300138203. The next prime is 158300138231. The reversal of 158300138214 is 412831003851.

158300138214 is a `hidden beast` number, since 1 + 5 + 8 + 300 + 138 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260790699 + ... + 260791305.

It is an arithmetic number, because the mean of its divisors is an integer number (2817487200).

Almost surely, 2158300138214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158300138214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180319180800).

158300138214 is an abundant number, since it is smaller than the sum of its proper divisors (202338223386).

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

158300138214 is an equidigital number, since it uses as much as digits as its factorization.

158300138214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 158300138214 in words is "one hundred fifty-eight billion, three hundred million, one hundred thirty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 486 547 607 654 729 981 1094 1214 1458 1641 1821 1962 2187 2943 3282 3642 4374 4923 5463 5886 8829 9846 10926 14769 16389 17658 26487 29538 32778 44307 49167 52974 59623 66163 79461 88614 98334 119246 132326 132921 147501 158922 178869 198489 238383 265842 295002 332029 357738 396978 398763 442503 476766 536607 595467 664058 797526 885006 996087 1073214 1190934 1196289 1327509 1609821 1786401 1992174 2392578 2655018 2988261 3219642 3572802 4829463 5359203 5976522 8964783 9658926 10718406 14488389 16077609 17929566 26894349 28976778 32155218 36191161 43465167 48232827 53788698 72382322 80683047 86930334 96465654 108573483 130395501 144698481 161366094 217146966 242049141 260791002 289396962 325720449 484098282 651440898 726147423 977161347 1452294846 1954322694 2931484041 5862968082 8794452123 17588904246 26383356369 52766712738 79150069107 158300138214