Search a number
-
+
42300334011414 = 23233116799759387
BaseRepresentation
bin10011001111000110100000…
…11000011111010000010110
312112202212120000012102112210
421213203100120133100112
521021022041001331124
6225544301041254250
711624045465400363
oct1147432030372026
9175685500172483
1042300334011414
111252951a866946
1248b2108334386
131a7ab9ac0630b
14a634c05b546a
154d54de884a29
hex2678d061f416

42300334011414 has 128 divisors (see below), whose sum is σ = 91765828288512. Its totient is φ = 12960609678720.

The previous prime is 42300334011379. The next prime is 42300334011421. The reversal of 42300334011414 is 41411043300324.

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, 712253029 + ... + 712312415.

It is an arithmetic number, because the mean of its divisors is an integer number (716920533504).

Almost surely, 242300334011414 is an apocalyptic number.

42300334011414 is an abundant number, since it is smaller than the sum of its proper divisors (49465494277098).

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

42300334011414 is a wasteful number, since it uses less digits than its factorization.

42300334011414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60610.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 42300334011414 its reverse (41411043300324), we get a palindrome (83711377311738).

The spelling of 42300334011414 in words is "forty-two trillion, three hundred billion, three hundred thirty-four million, eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 167 186 334 501 713 997 1002 1426 1994 2139 2991 3841 4278 5177 5982 7682 10354 11523 15531 22931 23046 30907 31062 45862 59387 61814 68793 92721 118774 119071 137586 166499 178161 185442 238142 332998 356322 357213 499497 710861 714426 998994 1365901 1421722 1840997 2132583 2731802 3681994 3829477 4097703 4265166 5161469 5522991 7658954 8195406 9917629 10322938 11045982 11488431 15484407 19835258 22976862 29752887 30968814 42342931 59208839 59505774 84685862 118417678 118713787 127028793 177626517 228105467 237427574 254057586 307446499 355253034 356141361 456210934 614892998 684316401 712282722 922339497 1361803297 1368632802 1835474009 1844678994 2723606594 3670948018 4085409891 5506422027 7071269477 8170819782 9887876113 11012844054 14142538954 19775752226 21213808431 29663628339 42215902207 42427616862 59327256678 84431804414 126647706621 227421150599 253295413242 306524159503 454842301198 613048319006 682263451797 919572478509 1364526903594 1839144957018 7050055668569 14100111337138 21150167005707 42300334011414