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154304434232 = 23138939294243
BaseRepresentation
bin1000111110110101000…
…0101101000000111000
3112202021202000102120122
42033231100231000320
510012003413343412
6154515251312412
714101544023124
oct2175520550070
9482252012518
10154304434232
115a492915313
1225aa42ab708
1311721292070
14767b310584
15403193c572
hex23ed42d038

154304434232 has 64 divisors (see below), whose sum is σ = 315231588000. Its totient is φ = 70382721024.

The previous prime is 154304434231. The next prime is 154304434241. The reversal of 154304434232 is 232434403451.

It is a super-2 number, since 2×1543044342322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 154304434192 and 154304434201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154304434231) 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, 36364703 + ... + 36368945.

Almost surely, 2154304434232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154304434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157615794000).

154304434232 is an abundant number, since it is smaller than the sum of its proper divisors (160927153768).

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

154304434232 is a wasteful number, since it uses less digits than its factorization.

154304434232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 154304434232 its reverse (232434403451), we get a palindrome (386738837683).

The spelling of 154304434232 in words is "one hundred fifty-four billion, three hundred four million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 3929 4243 4628 7858 8486 9256 15716 16972 31432 33944 51077 55159 102154 110318 204308 220636 349681 377627 408616 441272 699362 755254 1398724 1510508 2797448 3021016 4545853 4909151 9091706 9818302 16670747 18183412 19636604 33341494 36366824 39273208 66682988 133365976 216719711 433439422 866878844 1483696483 1733757688 2967392966 5934785932 11869571864 19288054279 38576108558 77152217116 154304434232