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14154331242030 = 2357463584924889
BaseRepresentation
bin1100110111111000111111…
…1000101011111000101110
31212010010210200101100201120
43031332033320223320232
53323401032244221110
650034224321121410
72660421344305440
oct315761770537056
955103720340646
1014154331242030
1145678aaa90001
121707254a89266
137b8994940cc5
1436d10515a490
151982bed83870
hexcdf8fe2be2e

14154331242030 has 128 divisors (see below), whose sum is σ = 38915375616000. Its totient is φ = 3227606452224.

The previous prime is 14154331241987. The next prime is 14154331242041. The reversal of 14154331242030 is 3024213345141.

It is a junction number, because it is equal to n+sod(n) for n = 14154331241982 and 14154331242000.

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, 568685826 + ... + 568710714.

It is an arithmetic number, because the mean of its divisors is an integer number (304026372000).

Almost surely, 214154331242030 is an apocalyptic number.

14154331242030 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 14154331242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19457687808000).

14154331242030 is an abundant number, since it is smaller than the sum of its proper divisors (24761044373970).

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

14154331242030 is a wasteful number, since it uses less digits than its factorization.

14154331242030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31218.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 14154331242030 its reverse (3024213345141), we get a palindrome (17178544587171).

The spelling of 14154331242030 in words is "fourteen trillion, one hundred fifty-four billion, three hundred thirty-one million, two hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 463 926 1389 2315 2778 3241 4630 5849 6482 6945 9723 11698 13890 16205 17547 19446 24889 29245 32410 35094 40943 48615 49778 58490 74667 81886 87735 97230 122829 124445 149334 174223 175470 204715 245658 248890 348446 373335 409430 522669 614145 746670 871115 1045338 1228290 1742230 2613345 2708087 5226690 5416174 8124261 11523607 13540435 16248522 18956609 23047214 27080870 34570821 37913218 40621305 56869827 57618035 69141642 80665249 81242610 94783045 113739654 115236070 145575761 161330498 172854105 189566090 241995747 284349135 291151522 345708210 403326245 436727283 483991494 568698270 727878805 806652490 873454566 1019030327 1209978735 1455757610 2038060654 2183636415 2419957470 3057090981 4367272830 5095151635 6114181962 10190303270 15285454905 30570909810 67401577343 134803154686 202204732029 337007886715 404409464058 471811041401 674015773430 943622082802 1011023660145 1415433124203 2022047320290 2359055207005 2830866248406 4718110414010 7077165621015 14154331242030