Search a number
-
+
1054404055440 = 243251464450077
BaseRepresentation
bin11110101011111110110…
…00010001000110010000
310201210121020020210102100
433111333120101012100
5114233404414233230
62124215254120400
7136115054410401
oct17257730210620
93653536223370
101054404055440
11377196667a8a
12150425950100
137857858b418
1439067a299a8
151c662a96660
hexf57f611190

1054404055440 has 60 divisors (see below), whose sum is σ = 3541040288604. Its totient is φ = 281174414592.

The previous prime is 1054404055427. The next prime is 1054404055459. The reversal of 1054404055440 is 445504044501.

1054404055440 is a `hidden beast` number, since 10 + 54 + 4 + 0 + 4 + 0 + 554 + 40 = 666.

1054404055440 is digitally balanced in base 2, 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 2 ways, for example, as 506442875904 + 547961179536 = 711648^2 + 740244^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10544040554402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1054404055395 and 1054404055404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732224319 + ... + 732225758.

Almost surely, 21054404055440 is an apocalyptic number.

1054404055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054404055440 is an abundant number, since it is smaller than the sum of its proper divisors (2486636233164).

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

1054404055440 is a wasteful number, since it uses less digits than its factorization.

1054404055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464450096 (or 1464450087 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 1054404055440 its reverse (445504044501), we get a palindrome (1499908099941).

The spelling of 1054404055440 in words is "one trillion, fifty-four billion, four hundred four million, fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1464450077 2928900154 4393350231 5857800308 7322250385 8786700462 11715600616 13180050693 14644500770 17573400924 21966751155 23431201232 26360101386 29289001540 35146801848 43933502310 52720202772 58578003080 65900253465 70293603696 87867004620 105440405544 117156006160 131800506930 175734009240 210880811088 263601013860 351468018480 527202027720 1054404055440