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134310414231120 = 243523124529195389
BaseRepresentation
bin11110100010011110010100…
…100001111010011001010000
3122121112221122200211202211210
4132202132110201322121100
5120101020212020343440
61153353204050140120
740201415162145141
oct3642362441723120
9577487580752753
10134310414231120
11398827aa406076
1213092311b81640
1359c355795194a
1425249317cdac8
15107dac7145a80
hex7a279487a650

134310414231120 has 160 divisors (see below), whose sum is σ = 434470704595200. Its totient is φ = 34258437824512.

The previous prime is 134310414231107. The next prime is 134310414231131. The reversal of 134310414231120 is 21132414013431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687302386 + ... + 687497774.

It is an arithmetic number, because the mean of its divisors is an integer number (2715441903720).

Almost surely, 2134310414231120 is an apocalyptic number.

134310414231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134310414231120 is an abundant number, since it is smaller than the sum of its proper divisors (300160290364080).

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

134310414231120 is a wasteful number, since it uses less digits than its factorization.

134310414231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319957 (or 319951 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 134310414231120 its reverse (21132414013431), we get a palindrome (155442828244551).

The spelling of 134310414231120 in words is "one hundred thirty-four trillion, three hundred ten billion, four hundred fourteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 124529 195389 249058 373587 390778 498116 586167 622645 747174 781556 976945 996232 1172334 1245290 1494348 1563112 1867935 1953890 1992464 2344668 2490580 2864167 2930835 2988696 3126224 3735870 3907780 4493947 4689336 4981160 5728334 5861670 5977392 7471740 7815560 8592501 8987894 9378672 9962320 11456668 11723340 13481841 14320835 14943480 15631120 17185002 17975788 22469735 22913336 23446680 26963682 28641670 29886960 34370004 35951576 42962505 44939470 45826672 46893360 53927364 57283340 67409205 68740008 71903152 85925010 89878940 107854728 114566680 134818410 137480016 171850020 179757880 215709456 229133360 269636820 343700040 359515760 539273640 687400080 1078547280 24331596781 48663193562 72994790343 97326387124 121657983905 145989580686 194652774248 243315967810 291979161372 364973951715 389305548496 486631935620 559626725963 583958322744 729947903430 973263871240 1119253451926 1167916645488 1459895806860 1678880177889 1946527742480 2238506903852 2798133629815 2919791613720 3357760355778 4477013807704 5596267259630 5839583227440 6715520711556 8394400889445 8954027615408 11192534519260 13431041423112 16788801778890 22385069038520 26862082846224 33577603557780 44770138077040 67155207115560 134310414231120