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134701213710672 = 24337419106310387
BaseRepresentation
bin11110101000001010010001…
…111111100111100101010000
3122122221022101012000021111000
4132220022101333213211100
5120123421041202220142
61154252514443222000
740241561435002320
oct3650122177474520
9578838335007430
10134701213710672
1139a13511539264
1213135bb7b17900
135a2136810283b
142539805aa1280
151088d4ae5414c
hex7a8291fe7950

134701213710672 has 160 divisors (see below), whose sum is σ = 442931600563200. Its totient is φ = 38394208524672.

The previous prime is 134701213710659. The next prime is 134701213710677. The reversal of 134701213710672 is 276017312107431.

134701213710672 is a `hidden beast` number, since 1 + 3 + 470 + 1 + 2 + 1 + 3 + 7 + 106 + 72 = 666.

134701213710672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134701213710677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51888138 + ... + 54422249.

It is an arithmetic number, because the mean of its divisors is an integer number (2768322503520).

Almost surely, 2134701213710672 is an apocalyptic number.

134701213710672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134701213710672 is an abundant number, since it is smaller than the sum of its proper divisors (308230386852528).

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

134701213710672 is a wasteful number, since it uses less digits than its factorization.

134701213710672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106310830 (or 106310818 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 134701213710672 in words is "one hundred thirty-four trillion, seven hundred one billion, two hundred thirteen million, seven hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 419 432 504 756 838 1008 1257 1512 1676 2514 2933 3024 3352 3771 5028 5866 6704 7542 8799 10056 11313 11732 15084 17598 20112 22626 23464 26397 30168 35196 45252 46928 52794 60336 70392 79191 90504 105588 140784 158382 181008 211176 316764 422352 633528 1267056 106310387 212620774 318931161 425241548 637862322 744172709 850483096 956793483 1275724644 1488345418 1700966192 1913586966 2232518127 2551449288 2870380449 2976690836 3827173932 4465036254 5102898576 5740760898 5953381672 6697554381 7654347864 8930072508 11481521796 11906763344 13395108762 15308695728 17860145016 20092663143 22963043592 26790217524 35720290032 40185326286 44544052153 45926087184 53580435048 80370652572 89088104306 107160870096 133632156459 160741305144 178176208612 267264312918 311808365071 321482610288 356352417224 400896469377 534528625836 623616730142 712704834448 801792938754 935425095213 1069057251672 1202689408131 1247233460284 1603585877508 1870850190426 2138114503344 2405378816262 2494466920568 2806275285639 3207171755016 3741700380852 4810757632524 4988933841136 5612550571278 6414343510032 7483400761704 8418825856917 9621515265048 11225101142556 14966801523408 16837651713834 19243030530096 22450202285112 33675303427668 44900404570224 67350606855336 134701213710672