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14062413304230 = 23553167142337217
BaseRepresentation
bin1100110010100010100100…
…1001100101000110100110
31211210100112202120022112220
43030220221021211012212
53320344310301213410
645524103344453210
72650655465602464
oct314505111450646
954710482508486
1014062413304230
114531921781955
1216b148191a206
137b01066775b5
143688a5645834
15195be0454070
hexcca292651a6

14062413304230 has 128 divisors (see below), whose sum is σ = 34617727807488. Its totient is φ = 3654523072512.

The previous prime is 14062413304229. The next prime is 14062413304237. The reversal of 14062413304230 is 3240331426041.

It is a junction number, because it is equal to n+sod(n) for n = 14062413304191 and 14062413304200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14062413304237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377830582 + ... + 377867798.

It is an arithmetic number, because the mean of its divisors is an integer number (270450998496).

Almost surely, 214062413304230 is an apocalyptic number.

14062413304230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14062413304230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308863903744).

14062413304230 is an abundant number, since it is smaller than the sum of its proper divisors (20555314503258).

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

14062413304230 is a wasteful number, since it uses less digits than its factorization.

14062413304230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38870.

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

The spelling of 14062413304230 in words is "fourteen trillion, sixty-two billion, four hundred thirteen million, three hundred four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 167 265 318 334 501 530 795 835 1002 1423 1590 1670 2505 2846 4269 5010 7115 8538 8851 14230 17702 21345 26553 37217 42690 44255 53106 74434 75419 88510 111651 132765 150838 186085 223302 226257 237641 265530 372170 377095 452514 475282 558255 712923 754190 1116510 1131285 1188205 1425846 1972501 2262570 2376410 3564615 3945002 5917503 6215239 7129230 9862505 11835006 12430478 12594973 18645717 19725010 25189946 29587515 31076195 37291434 37784919 52959791 59175030 62152390 62974865 75569838 93228585 105919582 125949730 158879373 186457170 188924595 264798955 317758746 329407667 377849190 529597910 658815334 794396865 988223001 1588793730 1647038335 1976446002 2806868923 3294076670 4941115005 5613737846 8420606769 8844285097 9882230010 14034344615 16841213538 17688570194 26532855291 28068689230 42103033845 44221425485 53065710582 84206067690 88442850970 132664276455 265328552910 468747110141 937494220282 1406241330423 2343735550705 2812482660846 4687471101410 7031206652115 14062413304230