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330231333431340 = 2232511374507662209
BaseRepresentation
bin100101100010101111111100…
…1010100101010100000101100
31121022020210210102022021010200
41023011133321110222200230
5321241002232324300330
63130202102533433500
7126362266201662135
oct11305377124524054
91538223712267120
10330231333431340
119624935a677480
123105506549b890
13112358b156a043
145b793d3452c8c
15282a11c7cba60
hex12c57f952a82c

330231333431340 has 144 divisors (see below), whose sum is σ = 1122299706396960. Its totient is φ = 77892402954240.

The previous prime is 330231333431333. The next prime is 330231333431357. The reversal of 330231333431340 is 43134333132033.

330231333431340 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 3 + 1 + 3 + 334 + 313 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 330231333431295 and 330231333431304.

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, 2253757845 + ... + 2253904364.

It is an arithmetic number, because the mean of its divisors is an integer number (7793747961090).

Almost surely, 2330231333431340 is an apocalyptic number.

330231333431340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330231333431340 is an abundant number, since it is smaller than the sum of its proper divisors (792068372965620).

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

330231333431340 is a wasteful number, since it uses less digits than its factorization.

330231333431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4507662272 (or 4507662267 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 330231333431340 its reverse (43134333132033), we get a palindrome (373365666563373).

The spelling of 330231333431340 in words is "three hundred thirty trillion, two hundred thirty-one billion, three hundred thirty-three million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 73260 4507662209 9015324418 13522986627 18030648836 22538311045 27045973254 40568959881 45076622090 49584284299 54091946508 67614933135 81137919762 90153244180 99168568598 135229866270 148752852897 162275839524 166783501733 198337137196 202844799405 247921421495 270459732540 297505705794 333567003466 405689598810 446258558691 495842842990 500350505199 595011411588 667134006932 743764264485 811379197620 833917508665 892517117382 991685685980 1000701010398 1487528528970 1501051515597 1667835017330 1785034234764 1834618519063 2001402020796 2231292793455 2501752525995 2975057057940 3002103031194 3335670034660 3669237038126 4462585586910 5003505051990 5503855557189 6004206062388 7338474076252 7505257577985 8925171173820 9173092595315 10007010103980 11007711114378 15010515155970 16511566671567 18346185190630 22015422228756 27519277785945 30021030311940 33023133343134 36692370381260 55038555571890 66046266686268 82557833357835 110077111143780 165115666715670 330231333431340