Search a number
-
+
33300340430214 = 231113973767106217
BaseRepresentation
bin1111001001001010101101…
…11101100101010110000110
311100220110222222110201010210
413210211112331211112012
513331043044122231324
6154453544252300250
710004604323234604
oct744452675452606
9140813888421123
1033300340430214
11a679660042310
1238999b4771686
131577293483140
14831a606c0874
153cb341a24d29
hex1e4956f65586

33300340430214 has 128 divisors (see below), whose sum is σ = 79072526840832. Its totient is φ = 9216217866240.

The previous prime is 33300340430167. The next prime is 33300340430261. The reversal of 33300340430214 is 41203404300333.

It is an interprime number because it is at equal distance from previous prime (33300340430167) and next prime (33300340430261).

It is a super-2 number, since 2×333003404302142 (a number of 28 digits) contains 22 as substring.

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, 313459234 + ... + 313565450.

It is an arithmetic number, because the mean of its divisors is an integer number (617754115944).

Almost surely, 233300340430214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33300340430214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39536263420416).

33300340430214 is an abundant number, since it is smaller than the sum of its proper divisors (45772186410618).

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

33300340430214 is a wasteful number, since it uses less digits than its factorization.

33300340430214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110110.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 33300340430214 its reverse (41203404300333), we get a palindrome (74503744730547).

The spelling of 33300340430214 in words is "thirty-three trillion, three hundred billion, three hundred forty million, four hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 97 143 194 286 291 429 582 858 1067 1261 2134 2522 3201 3767 3783 6402 7534 7566 11301 13871 22602 27742 41437 41613 48971 82874 83226 97942 106217 124311 146913 212434 248622 293826 318651 365399 538681 637302 730798 1077362 1096197 1168387 1380821 1616043 2192394 2336774 2761642 3232086 3505161 4019389 4142463 4750187 7010322 8038778 8284926 9500374 10303049 12058167 14250561 15189031 20606098 24116334 28501122 30378062 30909147 45567093 52252057 61818294 91134186 104504114 113333539 133939637 156756171 226667078 267879274 313512342 340000617 400119439 401818911 680001234 800238878 803637822 1200358317 1473336007 2400716634 2946672014 4401313829 4420008021 5201552707 8802627658 8840016042 10403105414 13203941487 15604658121 26407882974 31209316242 38811585583 57217079777 77623171166 114434159554 116434756749 171651239331 232869513498 343302478662 426927441413 504550612579 853854882826 1009101225158 1280782324239 1513651837737 2561564648478 3027303675474 5550056738369 11100113476738 16650170215107 33300340430214