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146412556653342 = 237233724229169069
BaseRepresentation
bin100001010010100101010100…
…011011100001001100011110
3201012101220101210220112200010
4201102211110123201030132
5123142310404000401332
61235220555554544050
742560646433350120
oct4122452433411436
9635356353815603
10146412556653342
1142719242299551
1214507898b98026
13639084c973005
142822596b9d210
1511dd7d73e79cc
hex8529546e131e

146412556653342 has 128 divisors (see below), whose sum is σ = 358662555187200. Its totient is φ = 38930090006016.

The previous prime is 146412556653287. The next prime is 146412556653421. The reversal of 146412556653342 is 243356655214641.

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, 865908384 + ... + 866077452.

It is an arithmetic number, because the mean of its divisors is an integer number (2802051212400).

Almost surely, 2146412556653342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146412556653342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179331277593600).

146412556653342 is an abundant number, since it is smaller than the sum of its proper divisors (212249998533858).

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

146412556653342 is a wasteful number, since it uses less digits than its factorization.

146412556653342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193370.

The product of its digits is 62208000, while the sum is 57.

The spelling of 146412556653342 in words is "one hundred forty-six trillion, four hundred twelve billion, five hundred fifty-six million, six hundred fifty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 777 851 966 1554 1702 2553 5106 5957 11914 17871 24229 35742 48458 72687 145374 169069 169603 338138 339206 507207 508809 557267 896473 1014414 1017618 1114534 1183483 1671801 1792946 2366966 2689419 3343602 3550449 3888587 3900869 5378838 6255553 6275311 7100898 7777174 7801738 11665761 11702607 12511106 12550622 18766659 18825933 20618879 23331522 23405214 27220109 37533318 37651866 41237758 43788871 54440218 61856637 81660327 87577742 123713274 131366613 143877719 144332153 163320654 262733226 287755438 288664306 431633157 432996459 863266314 865992918 1007144033 2014288066 3021432099 4096372801 6042864198 8192745602 12289118403 24578236806 28674609607 57349219214 86023828821 94216574423 151565793637 172047657642 188433148846 282649723269 303131587274 454697380911 565299446538 659516020961 909394761822 1060960555459 1319032041922 1978548062883 2121921110918 3182881666377 3486013253651 3957096125766 6365763332754 6972026507302 10458039760953 20916079521906 24402092775557 48804185551114 73206278326671 146412556653342