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134442306440 = 23513594382083
BaseRepresentation
bin111110100110101100…
…0101100101110001000
3110212000111220210102222
41331031120230232020
54200314212301230
6141432325113212
712466414515041
oct1751530545610
9425014823388
10134442306440
11520201a4772
1222080558808
13c8a732b120
1467154778c8
15376cd576e5
hex1f4d62cb88

134442306440 has 64 divisors (see below), whose sum is σ = 331285550400. Its totient is φ = 48798865152.

The previous prime is 134442306421. The next prime is 134442306547. The reversal of 134442306440 is 44603244431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 134442306440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160362 + ... + 2221721.

It is an arithmetic number, because the mean of its divisors is an integer number (5176336725).

Almost surely, 2134442306440 is an apocalyptic number.

134442306440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134442306440 is an abundant number, since it is smaller than the sum of its proper divisors (196843243960).

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

134442306440 is a wasteful number, since it uses less digits than its factorization.

134442306440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382166 (or 4382162 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 134442306440 in words is "one hundred thirty-four billion, four hundred forty-two million, three hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 767 1180 1534 2360 3068 3835 6136 7670 15340 30680 4382083 8764166 17528332 21910415 35056664 43820830 56967079 87641660 113934158 175283320 227868316 258542897 284835395 455736632 517085794 569670790 1034171588 1139341580 1292714485 2068343176 2278683160 2585428970 3361057661 5170857940 6722115322 10341715880 13444230644 16805288305 26888461288 33610576610 67221153220 134442306440