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146055144231213 = 37314367421118493
BaseRepresentation
bin100001001101011000011100…
…111111010101000100101101
3201011010201212010101021201020
4201031120130333111010231
5123120431413410344323
61234344450150204353
742523064426032530
oct4115303477250455
9634121763337636
10146055144231213
11425a07032a57a8
121446a5703536b9
136365c304cacb9
14280d16cad4a17
1511d4369760ae3
hex84d61cfd512d

146055144231213 has 128 divisors (see below), whose sum is σ = 238660618420224. Its totient is φ = 77689389254400.

The previous prime is 146055144231211. The next prime is 146055144231229. The reversal of 146055144231213 is 312132441550641.

146055144231213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146055144231213 - 21 = 146055144231211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146055144231211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7897851795 + ... + 7897870287.

It is an arithmetic number, because the mean of its divisors is an integer number (1864536081408).

Almost surely, 2146055144231213 is an apocalyptic number.

It is an amenable number.

146055144231213 is a deficient number, since it is larger than the sum of its proper divisors (92605474189011).

146055144231213 is a wasteful number, since it uses less digits than its factorization.

146055144231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22855.

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 146055144231213 its reverse (312132441550641), we get a palindrome (458187585781854).

The spelling of 146055144231213 in words is "one hundred forty-six trillion, fifty-five billion, one hundred forty-four million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 7 21 31 43 67 93 129 201 217 301 469 651 903 1333 1407 2077 2881 3999 4211 6231 8643 9331 12633 14539 18493 20167 27993 29477 43617 55479 60501 88431 89311 129451 130541 181073 267933 282137 388353 391623 543219 573283 625177 795199 846411 913787 1239031 1267511 1719849 1875531 1974959 2385597 2741361 3717093 3802533 4012981 5566393 5613263 5924877 8673217 8746247 12038943 12131891 16699179 16839789 24651169 26019651 26238741 36395673 38409961 39292841 53278333 61223729 73953507 77874023 84923237 115229883 117878523 159834999 172558183 183671187 233622069 254769711 268869727 372948331 376088621 517674549 545118161 806609181 1118844993 1128265863 1635354483 1651628323 2414094713 2632620347 3348582989 4954884969 5217559541 7242284139 7897861041 10045748967 11561398261 15652678623 16898662991 23440080923 34684194783 36522916787 50695988973 70320242769 103806072659 109568750361 161744345771 224355060263 311418217977 485233037313 673065180789 726642508613 1132210420397 1570485421841 2179927525839 3396631261191 4711456265523 6955006868153 20865020604459 48685048077071 146055144231213