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423212321021334 = 231325373910656143
BaseRepresentation
bin110000000111010001100110…
…0000011110001110110010110
32001111110200222022110022120120
41200032203030003301312112
5420432402313140140314
64100033020053012410
7155100036562063335
oct14016431403616626
92044420868408516
10423212321021334
11112937379104269
123b571472024106
131521b99b193400
14767182ad83d1c
1533ddacc6b08a9
hex180e8cc0f1d96

423212321021334 has 96 divisors (see below), whose sum is σ = 935099653271040. Its totient is φ = 127589312882304.

The previous prime is 423212321021279. The next prime is 423212321021381. The reversal of 423212321021334 is 433120123212324.

It is a happy number.

It is a super-3 number, since 3×4232123210213343 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 423212321021295 and 423212321021304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34387267 + ... + 45043409.

It is an arithmetic number, because the mean of its divisors is an integer number (9740621388240).

Almost surely, 2423212321021334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423212321021334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467549826635520).

423212321021334 is an abundant number, since it is smaller than the sum of its proper divisors (511887332249706).

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

423212321021334 is a wasteful number, since it uses less digits than its factorization.

423212321021334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10656966 (or 10656953 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 423212321021334 its reverse (433120123212324), we get a palindrome (856332444233658).

The spelling of 423212321021334 in words is "four hundred twenty-three trillion, two hundred twelve billion, three hundred twenty-one million, twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 169 318 338 507 689 739 1014 1378 1478 2067 2217 4134 4434 8957 9607 17914 19214 26871 28821 39167 53742 57642 78334 117501 124891 235002 249782 374673 509171 749346 1018342 1527513 3055026 6619223 10656143 13238446 19857669 21312286 31968429 39715338 63936858 138529859 277059718 415589577 564775579 831179154 1129551158 1694326737 1800888167 3388653474 3601776334 5402664501 7342082527 7874889677 10805329002 14684165054 15749779354 22026247581 23624669031 44052495162 47249338062 95447072851 102373565801 190894145702 204747131602 286341218553 307120697403 417369152881 572682437106 614241394806 834738305762 1252107458643 1330856355413 2504214917286 2661712710826 3992569066239 5425798987453 7985138132478 10851597974906 16277396962359 32554793924718 70535386836889 141070773673778 211606160510667 423212321021334