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134133430440 = 23352322113003
BaseRepresentation
bin111110011101011111…
…0011011100010101000
3110211012222201021020010
41330322332123202220
54144201124233230
6141341532531520
712455644226652
oct1747276334250
9424188637203
10134133430440
1151981908649
1221bb5020ba0
13c858343269
1466c64336d2
153750b939b0
hex1f3af9b8a8

134133430440 has 96 divisors (see below), whose sum is σ = 420656836320. Its totient is φ = 34213728384.

The previous prime is 134133430421. The next prime is 134133430471. The reversal of 134133430440 is 44034331431.

134133430440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134133430398 and 134133430407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993022 + ... + 1119981.

It is an arithmetic number, because the mean of its divisors is an integer number (4381842045).

Almost surely, 2134133430440 is an apocalyptic number.

134133430440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134133430440 is an abundant number, since it is smaller than the sum of its proper divisors (286523405880).

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

134133430440 is a wasteful number, since it uses less digits than its factorization.

134133430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113063 (or 2113036 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 134133430440 its reverse (44034331431), we get a palindrome (178167761871).

Subtracting from 134133430440 its reverse (44034331431), we obtain a palindrome (90099099009).

The spelling of 134133430440 in words is "one hundred thirty-four billion, one hundred thirty-three million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 920 1058 1380 1587 2116 2645 2760 3174 4232 5290 6348 7935 10580 12696 15870 21160 31740 63480 2113003 4226006 6339009 8452012 10565015 12678018 16904024 21130030 25356036 31695045 42260060 48599069 50712072 63390090 84520120 97198138 126780180 145797207 194396276 242995345 253560360 291594414 388792552 485990690 583188828 728986035 971981380 1117778587 1166377656 1457972070 1943962760 2235557174 2915944140 3353335761 4471114348 5588892935 5831888280 6706671522 8942228696 11177785870 13413343044 16766678805 22355571740 26826686088 33533357610 44711143480 67066715220 134133430440