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153230005441 = 13738910972621
BaseRepresentation
bin1000111010110100111…
…0000101010011000001
3112122111212021210100201
42032231032011103001
510002303340133231
6154220510445201
714033116361512
oct2165516052301
9478455253321
10153230005441
1159a91386037
1225844503801
13115ac7c5596
1475b874aa09
153ebc458161
hex23ad3854c1

153230005441 has 16 divisors (see below), whose sum is σ = 154945411920. Its totient is φ = 151524367360.

The previous prime is 153230005433. The next prime is 153230005499. The reversal of 153230005441 is 144500032351.

It can be written as a sum of positive squares in 8 ways, for example, as 141705216 + 153088300225 = 11904^2 + 391265^2 .

It is not a de Polignac number, because 153230005441 - 23 = 153230005433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153230005541) by changing a digit.

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, 58461111 + ... + 58463731.

It is an arithmetic number, because the mean of its divisors is an integer number (9684088245).

Almost surely, 2153230005441 is an apocalyptic number.

It is an amenable number.

153230005441 is a deficient number, since it is larger than the sum of its proper divisors (1715406479).

153230005441 is a wasteful number, since it uses less digits than its factorization.

153230005441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 153230005441 its reverse (144500032351), we get a palindrome (297730037792).

The spelling of 153230005441 in words is "one hundred fifty-three billion, two hundred thirty million, five thousand, four hundred forty-one".

Divisors: 1 137 389 1097 2621 53293 150289 359077 426733 1019569 2875237 58462421 139680953 393907469 1118467193 153230005441