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134107113740436 = 2232591134219132437
BaseRepresentation
bin11110011111100000111110…
…111000000101100010010100
3122120211111220100002210021200
4132133200332320011202110
5120034202332104143221
61153115542455112500
740150630203403254
oct3637407670054224
9576744810083250
10134107113740436
11398045645a5421
121305aa35072730
1359aa32890b005
142518b67245964
151078679073426
hex79f83ee05894

134107113740436 has 144 divisors (see below), whose sum is σ = 347874470798400. Its totient is φ = 43545160221696.

The previous prime is 134107113740371. The next prime is 134107113740443. The reversal of 134107113740436 is 634047311701431.

134107113740436 is a `hidden beast` number, since 1 + 3 + 4 + 10 + 71 + 137 + 4 + 0 + 436 = 666.

134107113740436 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 134107113740391 and 134107113740400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012544410 + ... + 1012676846.

It is an arithmetic number, because the mean of its divisors is an integer number (2415794936100).

Almost surely, 2134107113740436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134107113740436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173937235399200).

134107113740436 is an abundant number, since it is smaller than the sum of its proper divisors (213767357057964).

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

134107113740436 is a wasteful number, since it uses less digits than its factorization.

134107113740436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136838 (or 136833 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 134107113740436 in words is "one hundred thirty-four trillion, one hundred seven billion, one hundred thirteen million, seven hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 113 118 177 226 236 339 354 452 531 678 708 1017 1062 1356 2034 2124 4068 4219 6667 8438 12657 13334 16876 20001 25314 26668 37971 40002 50628 60003 75942 80004 120006 132437 151884 240012 248921 264874 397311 476747 497842 529748 746763 794622 953494 995684 1191933 1430241 1493526 1589244 1906988 2240289 2383866 2860482 2987052 4290723 4480578 4767732 5720964 7813783 8581446 8961156 14965381 15627566 17162892 23441349 28128073 29930762 31255132 44896143 46882698 56256146 59861524 70324047 84384219 89792286 93765396 112512292 134688429 140648094 168768438 179584572 253152657 269376858 281296188 337536876 506305314 538753716 558751703 882957479 1012610628 1117503406 1676255109 1765914958 2235006812 2648872437 3352510218 3531829916 5028765327 5297744874 6705020436 7946617311 10057530654 10595489748 15893234622 20115061308 31786469244 32966350477 63138942439 65932700954 98899051431 126277884878 131865401908 189416827317 197798102862 252555769756 296697154293 378833654634 395596205724 568250481951 593394308586 757667309268 1136500963902 1186788617172 2273001927804 3725197603901 7450395207802 11175592811703 14900790415604 22351185623406 33526778435109 44702371246812 67053556870218 134107113740436