Search a number
-
+
300214413114132 = 223114771681555773
BaseRepresentation
bin100010001000010110001110…
…1011100110011101100010100
31110100222012212122001022222110
41010100230131130303230110
5303322203104224123012
62542300333013231020
7120143530011044016
oct10420543534635424
91410865778038873
10300214413114132
11877262436a16a0
1229807693632470
13cb691367b659a
14541c652c0a1b6
1524a93ec31a73c
hex1110b1d733b14

300214413114132 has 96 divisors (see below), whose sum is σ = 791433469661184. Its totient is φ = 87784383433600.

The previous prime is 300214413114037. The next prime is 300214413114149. The reversal of 300214413114132 is 231411314412003.

It is a super-2 number, since 2×3002144131141322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 300214413114132.

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, 340337403 + ... + 341218370.

It is an arithmetic number, because the mean of its divisors is an integer number (8244098642304).

Almost surely, 2300214413114132 is an apocalyptic number.

It is an amenable number.

300214413114132 is an abundant number, since it is smaller than the sum of its proper divisors (491219056547052).

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

300214413114132 is a wasteful number, since it uses less digits than its factorization.

300214413114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681555909 (or 681555907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 300214413114132 its reverse (231411314412003), we get a palindrome (531625727526135).

The spelling of 300214413114132 in words is "three hundred trillion, two hundred fourteen billion, four hundred thirteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 71 94 132 141 142 188 213 282 284 426 517 564 781 852 1034 1551 1562 2068 2343 3102 3124 3337 4686 6204 6674 9372 10011 13348 20022 36707 40044 73414 110121 146828 220242 440484 681555773 1363111546 2044667319 2726223092 4089334638 7497113503 8178669276 14994227006 22491340509 29988454012 32033121331 44982681018 48390459883 64066242662 89965362036 96099363993 96780919766 128132485324 145171379649 192198727986 193561839532 290342759298 352364334641 384397455972 532295058713 580685518596 704728669282 1057093003923 1064590117426 1409457338564 1596885176139 2114186007846 2129180234852 2274351614501 3193770352278 4228372015692 4548703229002 6387540704556 6823054843503 9097406458004 13646109687006 25017867759511 27292219374012 50035735519022 75053603278533 100071471038044 150107206557066 300214413114132