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144113451123411 = 34711233132407031
BaseRepresentation
bin100000110001001000000111…
…000011111100001011010011
3200220021010000012020110020000
4200301020013003330023103
5122342123321441422121
61230300445552221043
742232565443654020
oct4061100703741323
9626233005213200
10144113451123411
1141a12198147030
12141b619b23a783
136254abc9bb693
1427831b1cc8547
15119dac5544526
hex8312070fc2d3

144113451123411 has 160 divisors (see below), whose sum is σ = 289105984290816. Its totient is φ = 69299192952000.

The previous prime is 144113451123409. The next prime is 144113451123469. The reversal of 144113451123411 is 114321154311441.

144113451123411 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 134 + 511 + 2 + 3 + 4 + 1 + 1 = 666.

It is not a de Polignac number, because 144113451123411 - 21 = 144113451123409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144113451123511) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11756535 + ... + 20650496.

Almost surely, 2144113451123411 is an apocalyptic number.

144113451123411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144113451123411 is an abundant number, since it is smaller than the sum of its proper divisors (144992533167405).

144113451123411 is a wasteful number, since it uses less digits than its factorization.

144113451123411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32407115 (or 32407106 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 144113451123411 in words is "one hundred forty-four trillion, one hundred thirteen billion, four hundred fifty-one million, one hundred twenty-three thousand, four hundred eleven".

Divisors: 1 3 7 9 11 21 23 27 31 33 63 69 77 81 93 99 161 189 207 217 231 253 279 297 341 483 567 621 651 693 713 759 837 891 1023 1449 1771 1863 1953 2079 2139 2277 2387 2511 3069 4347 4991 5313 5859 6237 6417 6831 7161 7843 9207 13041 14973 15939 17577 19251 20493 21483 23529 27621 44919 47817 54901 57753 64449 70587 134757 143451 164703 193347 211761 404271 494109 635283 1482327 4446981 32407031 97221093 226849217 291663279 356477341 680547651 745361713 874989837 1004617961 1069432023 2041642953 2236085139 2495341387 2624969511 3013853883 3208296069 5217531991 6124928859 6708255417 7032325727 7486024161 8198978843 9041561649 9624888207 11050797571 15652595973 18374786577 20124766251 21096977181 22458072483 23106213103 24596936529 27124684947 28874664621 33152392713 46957787919 57392851901 60374298753 63290931543 67374217449 69318639309 73790809587 77355582997 81374054841 99457178139 140873363757 161743491721 172178555703 189872794629 202122652347 207955917927 221372428761 232066748991 254168344133 298371534417 422620091271 485230475163 516535667109 569618383887 623867753781 664117286283 696200246973 762505032399 895114603251 1455691425489 1549607001327 1779178408931 1871603261343 2088600740919 2287515097197 4367074276467 4648821003981 5337535226793 6265802222757 6862545291591 13101222829401 16012605680379 20587635874773 48037817041137 144113451123411