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144520051055331 = 371767211268710657
BaseRepresentation
bin100000110111000010110010…
…010011100101101011100011
3200221200222111211202002202210
4200313002302103211223203
5122420304031032232311
61231211332300013203
742304141406240040
oct4067026223455343
9627628454662683
10144520051055331
1142059678210a16
1214260b54831203
13628424a799383
142798b448261c7
1511a947157d3a6
hex8370b24e5ae3

144520051055331 has 128 divisors (see below), whose sum is σ = 237887836913664. Its totient is φ = 76166619217920.

The previous prime is 144520051055329. The next prime is 144520051055383. The reversal of 144520051055331 is 133550150025441.

It is not a de Polignac number, because 144520051055331 - 21 = 144520051055329 is a prime.

It is a super-2 number, since 2×1445200510553312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144520051055331.

It is not an unprimeable number, because it can be changed into a prime (144520051055321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13561039155 + ... + 13561049811.

It is an arithmetic number, because the mean of its divisors is an integer number (1858498725888).

Almost surely, 2144520051055331 is an apocalyptic number.

144520051055331 is a deficient number, since it is larger than the sum of its proper divisors (93367785858333).

144520051055331 is a wasteful number, since it uses less digits than its factorization.

144520051055331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649.

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 144520051055331 in words is "one hundred forty-four trillion, five hundred twenty billion, fifty-one million, fifty-five thousand, three hundred thirty-one".

Divisors: 1 3 7 17 21 51 67 119 201 211 357 469 633 1139 1407 1477 2687 3417 3587 4431 7973 8061 10657 10761 14137 18809 23919 25109 31971 42411 45679 56427 74599 75327 98959 137037 180029 181169 223797 240329 296877 319753 540087 543507 566957 714019 720987 959259 1260203 1268183 1682303 1700871 2142057 2248627 3060493 3780609 3804549 3968699 4998133 5046909 6745881 9181479 9638269 11906097 12138323 14994399 15740389 21423451 28635359 28914807 36414969 37986119 38226659 47221167 64270353 67467883 84968261 85906077 113958357 114679977 150658009 200447513 202403649 254904783 265902833 267586613 451974027 486801103 601342539 645764023 797708499 802759839 1054606063 1460403309 1918569053 1937292069 2561186153 3163818189 3407607721 4520348161 5755707159 6042060749 7683558459 10222823163 13429983371 13561044483 17928303071 18126182247 32615673901 40289950113 42294425243 53784909213 97847021703 102715032733 126883275729 228309717307 308145098199 404818070183 684929151921 719005229131 1214454210549 2157015687393 2833726491281 6881907193111 8501179473843 20645721579333 48173350351777 144520051055331