Search a number
-
+
134464346939840 = 26515113463206699
BaseRepresentation
bin11110100100101101101011…
…101000100110000111000000
3122122002122222112101120212212
4132210231223220212013000
5120111030440304033330
61153552022422241252
740215504603450401
oct3644555350460700
9578078875346785
10134464346939840
1139932011407515
12130b8111886228
135a04c19bc1b88
14252c1755b99a8
151082ad6107295
hex7a4b6ba261c0

134464346939840 has 112 divisors (see below), whose sum is σ = 322339211251200. Its totient is φ = 53425314739200.

The previous prime is 134464346939761. The next prime is 134464346939977. The reversal of 134464346939840 is 48939643464431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650428811 + ... + 650635509.

Almost surely, 2134464346939840 is an apocalyptic number.

134464346939840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134464346939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161169605625600).

134464346939840 is an abundant number, since it is smaller than the sum of its proper divisors (187874864311360).

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

134464346939840 is a wasteful number, since it uses less digits than its factorization.

134464346939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220330 (or 220320 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 68.

The spelling of 134464346939840 in words is "one hundred thirty-four trillion, four hundred sixty-four billion, three hundred forty-six million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 302 320 604 755 1208 1510 2416 3020 4832 6040 9664 12080 13463 24160 26926 48320 53852 67315 107704 134630 206699 215408 269260 413398 430816 538520 826796 861632 1033495 1077040 1653592 2032913 2066990 2154080 3307184 4065826 4133980 4308160 6614368 8131652 8267960 10164565 13228736 16263304 16535920 20329130 31211549 32526608 33071840 40658260 62423098 65053216 66143680 81316520 124846196 130106432 156057745 162633040 249692392 312115490 325266080 499384784 624230980 650532160 998769568 1248461960 1997539136 2496923920 2782788637 4993847840 5565577274 9987695680 11131154548 13913943185 22262309096 27827886370 44524618192 55655772740 89049236384 111311545480 178098472768 222623090960 420201084187 445246181920 840402168374 890492363840 1680804336748 2101005420935 3361608673496 4202010841870 6723217346992 8404021683740 13446434693984 16808043367480 26892869387968 33616086734960 67232173469920 134464346939840