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145256511543 = 311131725632081
BaseRepresentation
bin1000011101000111110…
…1100111100000110111
3111212221011202022222220
42013101331213200313
54334441131332133
6150421355053423
713331406655563
oct2072175474067
9455834668886
10145256511543
115666a572060
122419a141273
131090b903060
14705d7c26a3
153ba24465b3
hex21d1f67837

145256511543 has 96 divisors (see below), whose sum is σ = 242252059392. Its totient is φ = 76309708800.

The previous prime is 145256511487. The next prime is 145256511557. The reversal of 145256511543 is 345115652541.

It is not a de Polignac number, because 145256511543 - 29 = 145256511031 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 145256511495 and 145256511504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145256511563) 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, 69800263 + ... + 69802343.

It is an arithmetic number, because the mean of its divisors is an integer number (2523458952).

Almost surely, 2145256511543 is an apocalyptic number.

145256511543 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

145256511543 is a deficient number, since it is larger than the sum of its proper divisors (96995547849).

145256511543 is a wasteful number, since it uses less digits than its factorization.

145256511543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2688 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 145256511543 in words is "one hundred forty-five billion, two hundred fifty-six million, five hundred eleven thousand, five hundred forty-three".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 289 429 561 563 663 867 1689 2081 2431 3179 3757 6193 6243 7293 7319 9537 9571 11271 18579 21957 22891 27053 28713 35377 41327 68673 80509 81159 105281 106131 123981 124423 162707 241527 297583 315843 373269 389147 459901 488121 601409 892749 1167441 1171603 1368653 1379703 1789777 1804227 2115191 3514809 4105959 5058911 5369331 6345573 6615499 7818317 12887633 15176733 15230839 19846497 19917251 23267101 23454951 38662899 45692517 59751753 69801303 86001487 167539229 219089761 258004461 258924263 338593267 502617687 657269283 776772789 1015779801 2848166893 3724525937 4401712471 8544500679 11173577811 13205137413 48418837181 145256511543