Search a number
-
+
45403082358408 = 233470066485121
BaseRepresentation
bin10100101001011001110101…
…00110000111111010001000
312221202111021212121112120000
422110230322212013322020
521422341003040432113
6240321515454403000
712364156464240435
oct1224547246077210
9187674255545500
1045403082358408
1113515380376475
125113508500460
131c44652759278
14b2d741548b8c
1553b089748373
hex294b3a987e88

45403082358408 has 40 divisors (see below), whose sum is σ = 127170670496430. Its totient is φ = 15134360785920.

The previous prime is 45403082358341. The next prime is 45403082358443. The reversal of 45403082358408 is 80485328030454.

45403082358408 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 30 + 8 + 23 + 584 + 0 + 8 = 666.

45403082358408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43131557121444 + 2271525236964 = 6567462^2 + 1507158^2 .

It is a super-3 number, since 3×454030823584083 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35033241913 + ... + 35033243208.

Almost surely, 245403082358408 is an apocalyptic number.

It is an amenable number.

45403082358408 is an abundant number, since it is smaller than the sum of its proper divisors (81767588138022).

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

45403082358408 is a wasteful number, since it uses less digits than its factorization.

45403082358408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70066485139 (or 70066485126 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 45403082358408 in words is "forty-five trillion, four hundred three billion, eighty-two million, three hundred fifty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 70066485121 140132970242 210199455363 280265940484 420398910726 560531880968 630598366089 840797821452 1261196732178 1681595642904 1891795098267 2522393464356 3783590196534 5044786928712 5675385294801 7567180393068 11350770589602 15134360786136 22701541179204 45403082358408