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132014535531234 = 231729411278571089
BaseRepresentation
bin11110000001000100000111…
…011111101101101011100010
3122022102110120222000122001120
4132001010013133231223202
5114300411232043444414
61144434350153513110
736543510154165566
oct3601040737555342
9568373528018046
10132014535531234
1139078060771844
1212981374a12796
135887bc0370cc5
1424857752c96a6
15103e0036e02a9
hex7811077edae2

132014535531234 has 128 divisors (see below), whose sum is σ = 298586605363200. Its totient is φ = 38705662033920.

The previous prime is 132014535531227. The next prime is 132014535531299. The reversal of 132014535531234 is 432135535410231.

132014535531234 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11116762 + ... + 19687850.

It is an arithmetic number, because the mean of its divisors is an integer number (2332707854400).

Almost surely, 2132014535531234 is an apocalyptic number.

132014535531234 is an abundant number, since it is smaller than the sum of its proper divisors (166572069831966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132014535531234 is a wasteful number, since it uses less digits than its factorization.

132014535531234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8571308.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 132014535531234 in words is "one hundred thirty-two trillion, fourteen billion, five hundred thirty-five million, five hundred thirty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 17 29 34 41 51 58 82 87 102 123 127 174 246 254 381 493 697 762 986 1189 1394 1479 2091 2159 2378 2958 3567 3683 4182 4318 5207 6477 7134 7366 10414 11049 12954 15621 20213 22098 31242 40426 60639 62611 88519 121278 125222 151003 177038 187833 265557 302006 375666 453009 531114 906018 2567051 5134102 7701153 8571089 15402306 17142178 25713267 51426534 145708513 248561581 291417026 351414649 437125539 497123162 702829298 745684743 874251078 1054243947 1088528303 1491369486 2108487894 2177056606 3265584909 4225546877 5974049033 6531169818 8451093754 10191024821 11948098066 12676640631 17922147099 18504981151 20382049642 25353281262 30573074463 31567320787 35844294198 37009962302 44629660423 55514943453 61146148926 63134641574 89259320846 94701962361 111029886906 133888981269 173247421957 189403924722 267777962538 346494843914 519742265871 536644453379 758704227191 1039484531742 1073288906758 1294260152267 1517408454382 1609933360137 2276112681573 2588520304534 3219866720274 3882780456801 4552225363146 7765560913602 22002422588539 44004845177078 66007267765617 132014535531234