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136413412443 = 34711171379391
BaseRepresentation
bin111111100001011011…
…1110111110001011011
3111001002212220100120000
41333002313313301123
54213333313144233
6142400100504043
712566310605550
oct1770267676133
9431085810500
10136413412443
11529418a68a0
12225306ab023
13cb2c7c9a39
146861170a27
153835e0dd13
hex1fc2df7c5b

136413412443 has 160 divisors (see below), whose sum is σ = 270998120448. Its totient is φ = 66201753600.

The previous prime is 136413412439. The next prime is 136413412501. The reversal of 136413412443 is 344214314631.

136413412443 is a `hidden beast` number, since 1 + 3 + 641 + 3 + 4 + 1 + 2 + 4 + 4 + 3 = 666.

It is not a de Polignac number, because 136413412443 - 22 = 136413412439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 136413412398 and 136413412407.

It is not an unprimeable number, because it can be changed into a prime (136413412043) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14521278 + ... + 14530668.

Almost surely, 2136413412443 is an apocalyptic number.

136413412443 is a deficient number, since it is larger than the sum of its proper divisors (134584708005).

136413412443 is a wasteful number, since it uses less digits than its factorization.

136413412443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9566 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 136413412443 in words is "one hundred thirty-six billion, four hundred thirteen million, four hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 137 153 187 189 231 297 357 411 459 561 567 693 891 959 1071 1233 1309 1377 1507 1683 2079 2329 2877 3213 3699 3927 4521 5049 6237 6987 8631 9391 9639 10549 11097 11781 13563 15147 16303 20961 25619 25893 28173 31647 35343 40689 48909 62883 65737 76857 77679 84519 94941 103301 106029 122067 146727 159647 179333 188649 197211 230571 253557 284823 309903 440181 478941 537999 591633 691713 723107 760671 854469 929709 1117529 1286567 1320543 1436823 1613997 1756117 1774899 2075139 2169321 2789127 3352587 3859701 4310469 4841991 5268351 5324697 6507963 8367381 9005969 10057761 11579103 12292819 12931407 14152237 14525973 15805053 19523889 21871639 27017907 30173283 34737309 36878457 42456711 47415159 58571667 65614917 81053721 90519849 99065659 104211927 110635371 127370133 142245477 153101473 196844751 240588029 243161163 297196977 331906113 382110399 459304419 590534253 721764087 729483489 891590931 995718339 1146331197 1377913257 1684116203 1771602759 2165292261 2674772793 4133739771 5052348609 6495876783 8024318379 12401219313 15157045827 19487630349 45471137481 136413412443