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134432505101223 = 3271789244335771
BaseRepresentation
bin11110100100010000000001…
…101101100111101110100111
3122121222121210102100120220200
4132210100001231213232213
5120110020232301214343
61153525235033201543
740213266540340560
oct3644200155475647
9577877712316820
10134432505101223
113991a56153290a
12130b1b05b602b3
135a01c1407b354
14252a7d46c7167
151081d7095d4d3
hex7a4401b67ba7

134432505101223 has 144 divisors (see below), whose sum is σ = 238187391526656. Its totient is φ = 71324111738880.

The previous prime is 134432505101207. The next prime is 134432505101233. The reversal of 134432505101223 is 322101505234431.

134432505101223 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 325 + 0 + 5 + 101 + 223 = 666.

It is not a de Polignac number, because 134432505101223 - 24 = 134432505101207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134432505101233) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3758124328 + ... + 3758160098.

It is an arithmetic number, because the mean of its divisors is an integer number (1654079107824).

Almost surely, 2134432505101223 is an apocalyptic number.

134432505101223 is a deficient number, since it is larger than the sum of its proper divisors (103754886425433).

134432505101223 is a wasteful number, since it uses less digits than its factorization.

134432505101223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36422 (or 36330 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 134432505101223 in words is "one hundred thirty-four trillion, four hundred thirty-two billion, five hundred five million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 63 89 119 153 267 357 443 623 801 1071 1329 1513 1869 3101 3987 4539 5607 7531 7921 9303 10591 13617 22593 23763 27909 31773 35771 39427 52717 55447 67779 71289 95319 107313 118281 134657 158151 166341 250397 275989 321939 354843 403971 474453 499023 608107 670259 751191 827967 942599 1211913 1824321 2010777 2253573 2483901 2827797 3183619 3509003 4256749 4691813 5472963 6032331 8483391 9550857 10527009 12770247 14075439 15846553 22285333 24563021 28652571 31581027 38310741 42226317 47539659 54121523 59653051 66855999 73689063 110925871 142618977 162364569 178959153 200567997 221067189 269391401 283342091 332777613 378850661 417571357 487093707 536877459 808174203 850026273 998332839 1136551983 1252714071 1410343217 1885739807 1983394637 2424522609 2550078819 3409655949 3758142213 4231029651 4816815547 5657219421 5950183911 9872402519 12693088953 14450446641 16971658263 17850551733 23975834689 29617207557 33717708829 43351339923 71927504067 88851622671 101153126487 125520546313 167830842823 215782512201 303459379461 376561638939 503492528469 878643824191 1129684916817 1510477585407 2133849287321 2635931472573 6401547861963 7907794417719 14936945011247 19204643585889 44810835033741 134432505101223