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241321234432 = 212232111373
BaseRepresentation
bin1110000010111111011…
…1011101000000000000
3212001220002110212220111
43200233313131000000
512423211214000212
6302510023321104
723302110435145
oct3405767350000
9761802425814
10241321234432
1193386600223
123a929bb0194
13199ab032955
14b973d3a3cc
156425e42ea7
hex382fddd000

241321234432 has 78 divisors (see below), whose sum is σ = 504482232002. Its totient is φ = 115413467136.

The previous prime is 241321234417. The next prime is 241321234439. The reversal of 241321234432 is 234432123142.

It can be written as a sum of positive squares in only one way, i.e., 240272510976 + 1048723456 = 490176^2 + 32384^2 .

It is a super-3 number, since 3×2413212344323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241321234394 and 241321234403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241321234439) 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 5 ways as a sum of consecutive naturals, for example, 2111098 + ... + 2222470.

Almost surely, 2241321234432 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 241321234432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252241116001).

241321234432 is an abundant number, since it is smaller than the sum of its proper divisors (263160997570).

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

241321234432 is an equidigital number, since it uses as much as digits as its factorization.

241321234432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111443 (or 111398 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 241321234432 its reverse (234432123142), we get a palindrome (475753357574).

The spelling of 241321234432 in words is "two hundred forty-one billion, three hundred twenty-one million, two hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2944 4096 4232 5888 8464 11776 16928 23552 33856 47104 67712 94208 111373 135424 222746 270848 445492 541696 890984 1083392 1781968 2166784 2561579 3563936 5123158 7127872 10246316 14255744 20492632 28511488 40985264 57022976 58916317 81970528 114045952 117832634 163941056 228091904 235665268 327882112 456183808 471330536 655764224 942661072 1311528448 1885322144 2623056896 3770644288 5246113792 7541288576 10492227584 15082577152 30165154304 60330308608 120660617216 241321234432