Search a number
-
+
5413211040 = 253511277523
BaseRepresentation
bin1010000101010011…
…10000101110100000
3111222020220121112210
411002221300232200
542041240223130
62253051522120
7251100351246
oct50251605640
914866817483
105413211040
112328686636
121070a59340
13683647473
14394d04796
1521a3795b0
hex142a70ba0

5413211040 has 48 divisors (see below), whose sum is σ = 17051616288. Its totient is φ = 1443522816.

The previous prime is 5413210997. The next prime is 5413211057. The reversal of 5413211040 is 401123145.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5413210998 and 5413211016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5638282 + ... + 5639241.

It is an arithmetic number, because the mean of its divisors is an integer number (355242006).

Almost surely, 25413211040 is an apocalyptic number.

It is an amenable number.

5413211040 is an abundant number, since it is smaller than the sum of its proper divisors (11638405248).

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

5413211040 is a wasteful number, since it uses less digits than its factorization.

5413211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11277541 (or 11277533 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5413211040 is about 73574.5271136689. The cubic root of 5413211040 is about 1755.8401931493.

Adding to 5413211040 its reverse (401123145), we get a palindrome (5814334185).

It can be divided in two parts, 541321 and 1040, that added together give a triangular number (542361 = T1041).

The spelling of 5413211040 in words is "five billion, four hundred thirteen million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11277523 22555046 33832569 45110092 56387615 67665138 90220184 112775230 135330276 169162845 180440368 225550460 270660552 338325690 360880736 451100920 541321104 676651380 902201840 1082642208 1353302760 1804403680 2706605520 5413211040