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330034344234012 = 2232116793851132541
BaseRepresentation
bin100101100001010100001101…
…1110110100000110000011100
31121021112222022220101012110100
41023002220123312200300130
5321224240314110442022
63125531403515341100
7126342123500302365
oct11302503366406034
91537488286335410
10330034344234012
1196182863384950
1231022a4a151790
1311220149c45412
145b6da6718ab6c
152824e3d8321ac
hex12c2a1bda0c1c

330034344234012 has 144 divisors (see below), whose sum is σ = 923695020952704. Its totient is φ = 98515921680000.

The previous prime is 330034344233989. The next prime is 330034344234017. The reversal of 330034344234012 is 210432443430033.

330034344234012 is a `hidden beast` number, since 3 + 30 + 0 + 343 + 44 + 234 + 0 + 12 = 666.

It is a super-2 number, since 2×3300343442340122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034344234017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2489988462 + ... + 2490121002.

It is an arithmetic number, because the mean of its divisors is an integer number (6414548756616).

Almost surely, 2330034344234012 is an apocalyptic number.

It is an amenable number.

330034344234012 is an abundant number, since it is smaller than the sum of its proper divisors (593660676718692).

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

330034344234012 is a wasteful number, since it uses less digits than its factorization.

330034344234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226480 (or 226475 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 330034344234012 its reverse (210432443430033), we get a palindrome (540466787664045).

The spelling of 330034344234012 in words is "three hundred thirty trillion, thirty-four billion, three hundred forty-four million, two hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 396 402 603 737 804 1206 1474 2211 2412 2948 4422 6633 8844 13266 26532 93851 132541 187702 265082 281553 375404 397623 530164 563106 795246 844659 1032361 1126212 1192869 1457951 1590492 1689318 2064722 2385738 2915902 3097083 3378636 4129444 4373853 4771476 5831804 6194166 6288017 8747706 8880247 9291249 12388332 12576034 13121559 17495412 17760494 18582498 18864051 25152068 26243118 26640741 35520988 37164996 37728102 52486236 53281482 56592153 69168187 75456204 79922223 97682717 106562964 113184306 138336374 159844446 195365434 207504561 226368612 276672748 293048151 319688892 390730868 415009122 586096302 622513683 830018244 879144453 1172192604 1245027366 1758288906 2490054732 3516577812 12439105391 24878210782 37317316173 49756421564 74634632346 111951948519 136830159301 149269264692 223903897038 273660318602 410490477903 447807794076 547320637204 820980955806 833420061197 1231471433709 1641961911612 1666840122394 2462942867418 2500260183591 3333680244788 4925885734836 5000520367182 7500780550773 9167620673167 10001040734364 15001561101546 18335241346334 27502862019501 30003122203092 36670482692668 55005724039002 82508586058503 110011448078004 165017172117006 330034344234012