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145216466541003 = 311132859112926849
BaseRepresentation
bin100001000001001011010111…
…111001110101100111001011
3201001011120002020100022020210
4201001023113321311213023
5123013211310413303003
61232503305044452203
742405354262216344
oct4101132771654713
9631146066308223
10145216466541003
11422a7a59638980
1214353b109aa063
136304b14418900
1427c072ba4d0cb
1511bc630ad2503
hex8412d7e759cb

145216466541003 has 96 divisors (see below), whose sum is σ = 229199418720000. Its totient is φ = 81070512906240.

The previous prime is 145216466540989. The next prime is 145216466541011. The reversal of 145216466541003 is 300145664612541.

It is not a de Polignac number, because 145216466541003 - 221 = 145216464443851 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145216466581003) 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, 5408622523 + ... + 5408649371.

It is an arithmetic number, because the mean of its divisors is an integer number (2387493945000).

Almost surely, 2145216466541003 is an apocalyptic number.

145216466541003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

145216466541003 is a deficient number, since it is larger than the sum of its proper divisors (83982952178997).

145216466541003 is a wasteful number, since it uses less digits than its factorization.

145216466541003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28877 (or 28864 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 145216466541003 in words is "one hundred forty-five trillion, two hundred sixteen billion, four hundred sixty-six million, five hundred forty-one thousand, three".

Divisors: 1 3 11 13 33 39 143 169 429 507 859 1129 1859 2577 3387 5577 9449 11167 12419 14677 26849 28347 33501 37257 44031 80547 122837 145171 161447 190801 295339 349037 368511 435513 484341 572403 886017 969811 1047111 1596881 2098811 2909433 3839407 4537481 4790643 6296433 10667921 11518221 12607543 13612443 23063291 30312521 32003763 37822629 49912291 69189873 90937563 138682973 149736873 163898059 253696201 299822783 333437731 394062773 416048919 491694177 761088603 899468349 1000313193 1182188319 1802878649 3298050613 3897696179 4334690503 5122816049 5408635947 9894151839 11693088537 13004071509 15368448147 26038455539 42874657969 56350976539 78115366617 128623973907 169052929617 286423010929 338499922007 859269032787 1015499766021 3723499142077 4400498986091 11170497426231 13201496958273 48405488847001 145216466541003