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134011553431030 = 251122343111985187
BaseRepresentation
bin11110011110000111111111…
…000010011011110111110110
3122120111101020120112002120221
4132132013333002123313312
5120031121130134243110
61153004020250044554
740141005136232152
oct3636077702336766
9576441216462527
10134011553431030
1139777a87268600
121304440611975a
1359a1309b4a332
14251429dab2062
151075e349b27da
hex79e1ff09bdf6

134011553431030 has 96 divisors (see below), whose sum is σ = 283105722316032. Its totient is φ = 45528697220160.

The previous prime is 134011553431009. The next prime is 134011553431031. The reversal of 134011553431030 is 30134355110431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134011553431031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54795904 + ... + 57189283.

It is an arithmetic number, because the mean of its divisors is an integer number (2949017940792).

Almost surely, 2134011553431030 is an apocalyptic number.

134011553431030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134011553431030 is an abundant number, since it is smaller than the sum of its proper divisors (149094168885002).

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

134011553431030 is a wasteful number, since it uses less digits than its factorization.

134011553431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111985282 (or 111985271 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 134011553431030 in words is "one hundred thirty-four trillion, eleven billion, five hundred fifty-three million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 5 10 11 22 23 43 46 55 86 110 115 121 215 230 242 253 430 473 506 605 946 989 1210 1265 1978 2365 2530 2783 4730 4945 5203 5566 9890 10406 10879 13915 21758 26015 27830 52030 54395 108790 119669 239338 598345 1196690 111985187 223970374 559925935 1119851870 1231837057 2463674114 2575659301 4815363041 5151318602 6159185285 9630726082 12318370570 12878296505 13550207627 24076815205 25756593010 27100415254 28332252311 48153630410 52968993451 56664504622 67751038135 105937986902 110753349943 135502076270 141661261555 221506699886 264844967255 283322523110 311654775421 529689934510 553766749715 582658927961 623309550842 1107533499430 1165317855922 1218286849373 1558273877105 2436573698746 2913294639805 3116547754210 5826589279610 6091434246865 12182868493730 13401155343103 26802310686206 67005776715515 134011553431030