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114565554460 = 225724312721407
BaseRepresentation
bin110101010110010100…
…0111010000100011100
3101221201021022011200201
41222230220322010130
53334112240220320
6124344121233244
711164020100600
oct1525450720434
9357637264621
10114565554460
11446502a5815
121a253932824
13aa5a346916
14578b6b5500
152ea7d3470a
hex1aaca3a11c

114565554460 has 144 divisors (see below), whose sum is σ = 288644235264. Its totient is φ = 38062265472.

The previous prime is 114565554419. The next prime is 114565554473. The reversal of 114565554460 is 64455565411.

114565554460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114565554460.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5341077 + ... + 5362483.

It is an arithmetic number, because the mean of its divisors is an integer number (2004473856).

Almost surely, 2114565554460 is an apocalyptic number.

114565554460 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 114565554460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144322117632).

114565554460 is an abundant number, since it is smaller than the sum of its proper divisors (174078680804).

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

114565554460 is a wasteful number, since it uses less digits than its factorization.

114565554460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 114565554460 in words is "one hundred fourteen billion, five hundred sixty-five million, five hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 127 140 172 196 215 245 254 301 430 490 508 602 635 860 889 980 1204 1270 1505 1778 2107 2540 3010 3556 4214 4445 5461 6020 6223 8428 8890 10535 10922 12446 17780 21070 21407 21844 24892 27305 31115 38227 42140 42814 54610 62230 76454 85628 107035 109220 124460 149849 152908 191135 214070 267589 299698 382270 428140 535178 599396 749245 764540 920501 1048943 1070356 1337945 1498490 1841002 2097886 2675890 2718689 2996980 3682004 4195772 4602505 5244715 5351780 5437378 6443507 9205010 10489430 10874756 12887014 13593445 18410020 19030823 20978860 25774028 27186890 32217535 38061646 45104549 54373780 64435070 76123292 90209098 95154115 116903627 128870140 133215761 180418196 190308230 225522745 233807254 266431522 380616460 451045490 467614508 532863044 584518135 666078805 818325389 902090980 1169036270 1332157610 1636650778 2338072540 2664315220 3273301556 4091626945 5728277723 8183253890 11456555446 16366507780 22913110892 28641388615 57282777230 114565554460