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114446554000 = 2453263217579
BaseRepresentation
bin110101010010110001…
…0111101001110010000
3101221101222101022202021
41222211202331032100
53333341304212000
6124324230501224
711161043441512
oct1524542751620
9357358338667
10114446554000
114459a106a29
121a21bb04814
13aa3b7ac94c
145779979bb2
152e9c67a11a
hex1aa58bd390

114446554000 has 80 divisors (see below), whose sum is σ = 277785256320. Its totient is φ = 45604348800.

The previous prime is 114446553983. The next prime is 114446554007. The reversal of 114446554000 is 455644411.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (114446554007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417211 + ... + 634789.

It is an arithmetic number, because the mean of its divisors is an integer number (3472315704).

Almost surely, 2114446554000 is an apocalyptic number.

114446554000 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 114446554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138892628160).

114446554000 is an abundant number, since it is smaller than the sum of its proper divisors (163338702320).

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

114446554000 is a wasteful number, since it uses less digits than its factorization.

114446554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217865 (or 217849 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 114446554000 in words is "one hundred fourteen billion, four hundred forty-six million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 263 400 500 526 1000 1052 1315 2000 2104 2630 4208 5260 6575 10520 13150 21040 26300 32875 52600 65750 105200 131500 217579 263000 435158 526000 870316 1087895 1740632 2175790 3481264 4351580 5439475 8703160 10878950 17406320 21757900 27197375 43515800 54394750 57223277 87031600 108789500 114446554 217579000 228893108 286116385 435158000 457786216 572232770 915572432 1144465540 1430581925 2288931080 2861163850 4577862160 5722327700 7152909625 11444655400 14305819250 22889310800 28611638500 57223277000 114446554000