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145035044402211 = 354188326896131
BaseRepresentation
bin100000111110100010011010…
…010011010011010000100011
3201000112012210121120202100000
4200332202122103103100203
5123002223232331332321
61232244102442431043
742356302414406115
oct4076423223232043
9630465717522300
10145035044402211
1142238020566887
121432491ab02483
1362c0990c73b22
1427b5a3b01b3b5
1511b7a6360e826
hex83e89a4d3423

145035044402211 has 96 divisors (see below), whose sum is σ = 222924276207360. Its totient is φ = 94174501478400.

The previous prime is 145035044402189. The next prime is 145035044402233. The reversal of 145035044402211 is 112204440530541.

145035044402211 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 35 + 0 + 4 + 4 + 402 + 211 = 666.

It is an interprime number because it is at equal distance from previous prime (145035044402189) and next prime (145035044402233).

It is not a de Polignac number, because 145035044402211 - 211 = 145035044400163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145035044402251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23656014616 + ... + 23656020746.

It is an arithmetic number, because the mean of its divisors is an integer number (2322127877160).

Almost surely, 2145035044402211 is an apocalyptic number.

145035044402211 is a deficient number, since it is larger than the sum of its proper divisors (77889231805149).

145035044402211 is an equidigital number, since it uses as much as digits as its factorization.

145035044402211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9759 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 145035044402211 its reverse (112204440530541), we get a palindrome (257239484932752).

The spelling of 145035044402211 in words is "one hundred forty-five trillion, thirty-five billion, forty-four million, four hundred two thousand, two hundred eleven".

Divisors: 1 3 9 27 41 81 123 243 369 883 1107 2649 2689 3321 6131 7947 8067 9963 18393 23841 24201 36203 55179 71523 72603 108609 110249 165537 214569 217809 251371 325827 330747 496611 653427 754113 977481 992241 1489833 2262339 2374387 2932443 2976723 5413673 6787017 7123161 8797329 8930169 16241019 16486259 20361051 21369483 26790507 48723057 49458777 61083153 64108449 97349867 146169171 148376331 192325347 221960593 292049601 438507513 445128993 576976041 665881779 675936619 876148803 1315522539 1335386979 1997645337 2027809857 2628446409 4006160937 5992936011 6083429571 7885339227 14557366697 17978808033 18250288713 23656017681 43672100091 53936424099 54750866139 131016300273 164252598417 393048900819 596852034577 1179146702457 1790556103731 3537440107371 5371668311193 16115004933579 48345014800737 145035044402211