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141408806535 = 38519307739
BaseRepresentation
bin1000001110110010011…
…1110010011010000111
3111112000000121200000000
42003230213302122013
54304101123302120
6144543505252343
713134146010663
oct2035447623207
9445000550000
10141408806535
1154a75648367
12234a56340b3
1310447705029
146bb67938a3
153a29755990
hex20ec9f2687

141408806535 has 144 divisors (see below), whose sum is σ = 269155286400. Its totient is φ = 71119560384.

The previous prime is 141408806527. The next prime is 141408806593. The reversal of 141408806535 is 535608804141.

141408806535 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141408806535 - 23 = 141408806527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191351196 + ... + 191351934.

Almost surely, 2141408806535 is an apocalyptic number.

141408806535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141408806535 is a deficient number, since it is larger than the sum of its proper divisors (127746479865).

141408806535 is an frugal number, since it uses more digits than its factorization.

141408806535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 141408806535 in words is "one hundred forty-one billion, four hundred eight million, eight hundred six thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 307 405 513 729 739 855 921 1215 1535 1539 2187 2217 2565 2763 3645 3695 4605 4617 5833 6561 6651 7695 8289 10935 11085 13815 13851 14041 17499 19953 23085 24867 29165 32805 33255 41445 41553 42123 52497 59859 69255 70205 74601 87495 99765 124335 124659 126369 157491 179577 207765 210615 223803 226873 262485 299295 373005 379107 472473 538731 623295 631845 671409 680619 787455 897885 1119015 1134365 1137321 1417419 1616193 1895535 2014227 2041857 2362365 2693655 3357045 3403095 3411963 4252257 4310587 4848579 5686605 6125571 7087095 8080965 10071135 10209285 10235889 12756771 12931761 17059815 18376713 21261285 21552935 24242895 30627855 30707667 38270313 38795283 51179445 55130139 63783855 64658805 91883565 92123001 116385849 153538335 165390417 191351565 193976415 275650695 349157547 460615005 496171251 581929245 826952085 1047472641 1488513753 1745787735 2480856255 3142417923 5237363205 7442568765 9427253769 15712089615 28281761307 47136268845 141408806535