Search a number
-
+
541002433245252 = 2231116068125507081
BaseRepresentation
bin111101100000010011111000…
…1110110110011000001000100
32121221112022211202111202012120
41323000213301312303001010
51031402240440402322002
65154341030425245540
7221645064426150066
oct17300476166630104
92557468752452176
10541002433245252
1114741a930731a20
1250815a903338b0
131a2b4406382a74
14978492c1b3736
154282aac7c2cbc
hex1ec09f1db3044

541002433245252 has 48 divisors (see below), whose sum is σ = 1377105727174464. Its totient is φ = 163939104576000.

The previous prime is 541002433245199. The next prime is 541002433245257. The reversal of 541002433245252 is 252542334200145.

It is not an unprimeable number, because it can be changed into a prime (541002433245257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8456352 + ... + 33963432.

It is an arithmetic number, because the mean of its divisors is an integer number (28689702649468).

Almost surely, 2541002433245252 is an apocalyptic number.

It is an amenable number.

541002433245252 is an abundant number, since it is smaller than the sum of its proper divisors (836103293929212).

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

541002433245252 is a wasteful number, since it uses less digits than its factorization.

541002433245252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25667780 (or 25667778 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 541002433245252 its reverse (252542334200145), we get a palindrome (793544767445397).

The spelling of 541002433245252 in words is "five hundred forty-one trillion, two billion, four hundred thirty-three million, two hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 160681 321362 482043 642724 964086 1767491 1928172 3534982 5302473 7069964 10604946 21209892 25507081 51014162 76521243 102028324 153042486 280577891 306084972 561155782 841733673 1122311564 1683467346 3366934692 4098503282161 8197006564322 12295509846483 16394013128644 24591019692966 45083536103771 49182039385932 90167072207542 135250608311313 180334144415084 270501216622626 541002433245252