Search a number
-
+
241554452000 = 2553411472893
BaseRepresentation
bin1110000011110111000…
…1000110111000100000
3212002111100022120021012
43200331301012320200
512424200414431000
6302545114120052
723310641651561
oct3407561067040
9762440276235
10241554452000
1193496211014
123a994120028
1319a1744a604
14b996cc8168
15643b65e735
hex383dc46e20

241554452000 has 96 divisors (see below), whose sum is σ = 607975293744. Its totient is φ = 94265088000.

The previous prime is 241554451997. The next prime is 241554452039. The reversal of 241554452000 is 254455142.

241554452000 is digitally balanced in base 3, 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 8 ways, for example, as 5362339984 + 236192112016 = 73228^2 + 485996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 572447 + ... + 900446.

Almost surely, 2241554452000 is an apocalyptic number.

241554452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241554452000 is an abundant number, since it is smaller than the sum of its proper divisors (366420841744).

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

241554452000 is a wasteful number, since it uses less digits than its factorization.

241554452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472959 (or 1472941 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The spelling of 241554452000 in words is "two hundred forty-one billion, five hundred fifty-four million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 164000 1472893 2945786 5891572 7364465 11783144 14728930 23566288 29457860 36822325 47132576 58915720 60388613 73644650 117831440 120777226 147289300 184111625 235662880 241554452 294578600 301943065 368223250 483108904 589157200 603886130 736446500 966217808 1178314400 1207772260 1472893000 1509715325 1932435616 2415544520 2945786000 3019430650 4831089040 5891572000 6038861300 7548576625 9662178080 12077722600 15097153250 24155445200 30194306500 48310890400 60388613000 120777226000 241554452000