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144412234434 = 232139711095737
BaseRepresentation
bin1000011001111110100…
…0111101001011000010
3111210202100002121112100
42012133220331023002
54331224013000214
6150201515211230
713301445511356
oct2063750751302
9453670077470
10144412234434
1156276a3a186
1223ba3446b16
1310805a198c0
146dbd60d466
153b53275309
hex219fa3d2c2

144412234434 has 96 divisors (see below), whose sum is σ = 340802083440. Its totient is φ = 43929133056.

The previous prime is 144412234433. The next prime is 144412234471. The reversal of 144412234434 is 434432214441.

144412234434 is a `hidden beast` number, since 1 + 4 + 4 + 412 + 234 + 4 + 3 + 4 = 666.

144412234434 is digitally balanced in base 2, 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 1752678225 + 142659556209 = 41865^2 + 377703^2 .

It is not an unprimeable number, because it can be changed into a prime (144412234433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25169214 + ... + 25174950.

Almost surely, 2144412234434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144412234434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170401041720).

144412234434 is an abundant number, since it is smaller than the sum of its proper divisors (196389849006).

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

144412234434 is a wasteful number, since it uses less digits than its factorization.

144412234434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964 (or 6961 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144412234434 its reverse (434432214441), we get a palindrome (578844448875).

The spelling of 144412234434 in words is "one hundred forty-four billion, four hundred twelve million, two hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1109 1261 1746 2218 2522 3327 3783 5737 6654 7566 9981 11349 11474 14417 17211 19962 22698 28834 34422 43251 51633 74581 86502 103266 107573 129753 149162 215146 223743 259506 322719 447486 556489 645438 671229 968157 1112978 1342458 1398449 1669467 1936314 2796898 3338934 4195347 5008401 6362333 7234357 8390694 10016802 12586041 12724666 14468714 19086999 21703071 25172082 38173998 43406142 57260997 65109213 82710329 114521994 130218426 165420658 248130987 496261974 617146301 744392961 1234292602 1488785922 1851438903 3702877806 5554316709 8022901913 11108633418 16045803826 24068705739 48137411478 72206117217 144412234434