Search a number
-
+
54045416240 = 2451574302979
BaseRepresentation
bin110010010101010110…
…111001101100110000
312011111111222121102222
4302111112321230300
51341141111304430
640454512500212
73622203313124
oct622526715460
9164444877388
1054045416240
1120a14257162
12a58384a668
135133c0334a
142889b07584
151614adb9e5
hexc955b9b30

54045416240 has 40 divisors (see below), whose sum is σ = 126455976240. Its totient is φ = 21480466176.

The previous prime is 54045416233. The next prime is 54045416251. The reversal of 54045416240 is 4261454045.

54045416240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 54045416240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2138930 + ... + 2164049.

It is an arithmetic number, because the mean of its divisors is an integer number (3161399406).

Almost surely, 254045416240 is an apocalyptic number.

It is an amenable number.

54045416240 is an abundant number, since it is smaller than the sum of its proper divisors (72410560000).

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

54045416240 is a wasteful number, since it uses less digits than its factorization.

54045416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303149 (or 4303143 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 54045416240 in words is "fifty-four billion, forty-five million, four hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 4302979 8605958 17211916 21514895 34423832 43029790 68847664 86059580 172119160 344238320 675567703 1351135406 2702270812 3377838515 5404541624 6755677030 10809083248 13511354060 27022708120 54045416240