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144034012010421 = 34134173397115117
BaseRepresentation
bin100000101111111110001000…
…000111110001011110110101
3200212222111221221112101120000
4200233332020013301132311
5122334323124033313141
61230200151152301513
742224054042436351
oct4057761007613665
9625874857471500
10144034012010421
1141991532903735
12141a290b241899
13624a46cb39590
14277d3d7834461
15119b9c64195b6
hex82ff881f17b5

144034012010421 has 160 divisors (see below), whose sum is σ = 241224116245728. Its totient is φ = 85074297200640.

The previous prime is 144034012010387. The next prime is 144034012010423. The reversal of 144034012010421 is 124010210430441.

144034012010421 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 34 + 0 + 1 + 201 + 0 + 421 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21622779000900 + 122411233009521 = 4650030^2 + 11063961^2 .

It is not a de Polignac number, because 144034012010421 - 225 = 144033978455989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034012010423) 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, 1251139155 + ... + 1251254271.

Almost surely, 2144034012010421 is an apocalyptic number.

It is an amenable number.

144034012010421 is a deficient number, since it is larger than the sum of its proper divisors (97190104235307).

144034012010421 is a wasteful number, since it uses less digits than its factorization.

144034012010421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115653 (or 115644 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 144034012010421 its reverse (124010210430441), we get a palindrome (268044222440862).

The spelling of 144034012010421 in words is "one hundred forty-four trillion, thirty-four billion, twelve million, ten thousand, four hundred twenty-one".

Divisors: 1 3 9 13 27 39 41 73 81 117 123 219 351 369 397 533 657 949 1053 1107 1191 1599 1971 2847 2993 3321 3573 4797 5161 5913 8541 8979 10719 14391 15483 16277 25623 26937 28981 32157 38909 43173 46449 48831 76869 80811 86943 115117 116727 139347 146493 211601 242433 260829 345351 350181 376753 418041 439479 634803 782487 1036053 1050543 1130259 1188221 1318437 1496521 1904409 2347461 3108159 3151629 3390777 3564663 4489563 4719797 5713227 8403541 9324477 10172331 10693989 13468689 14159391 15446873 17139681 25210623 30516993 32081967 40406067 42478173 45701449 46340619 61357361 75631869 96245901 109246033 121218201 127434519 137104347 139021857 184072083 226895607 327738099 344545181 382303557 411313041 417065571 552216249 594118837 680686821 983214297 1033635543 1233939123 1251196713 1656648747 1782356511 1873759409 2949642891 3100906629 3336205777 3701817369 4479087353 4969946241 5347069533 5621278227 8848928673 9302719887 10008617331 13437262059 16041208599 16863834681 24358872317 27908159661 30025851993 40311786177 43370675101 48123625797 50591504043 73076616951 90077555979 120935358531 130112025303 136784436857 151774512129 219229850853 270232667937 362806075593 390336075909 410353310571 657689552559 1171008227727 1231059931713 1778197679141 1973068657677 3513024683181 3693179795139 5334593037423 11079539385417 16003779112269 48011337336807 144034012010421