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144424004022 = 2337352170321
BaseRepresentation
bin1000011010000001010…
…1110110100110110110
3111210210011020120101000
42012200111312212312
54331240021112042
6150203015344130
713301650531134
oct2064025664666
9453704216330
10144424004022
1156282648911
1223ba7382046
13108082aaa5c
146dc0dd4754
153b542ec74c
hex21a05769b6

144424004022 has 64 divisors (see below), whose sum is σ = 325967785920. Its totient is φ = 47390054400.

The previous prime is 144424004017. The next prime is 144424004027. The reversal of 144424004022 is 220400424441.

144424004022 is a `hidden beast` number, since 14 + 4 + 4 + 240 + 0 + 402 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (144424004017) and next prime (144424004027).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424004027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018622 + ... + 2088942.

It is an arithmetic number, because the mean of its divisors is an integer number (5093246655).

Almost surely, 2144424004022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144424004022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162983892960).

144424004022 is an abundant number, since it is smaller than the sum of its proper divisors (181543781898).

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

144424004022 is a wasteful number, since it uses less digits than its factorization.

144424004022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70926 (or 70920 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 144424004022 its reverse (220400424441), we get a palindrome (364824428463).

The spelling of 144424004022 in words is "one hundred forty-four billion, four hundred twenty-four million, four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 521 657 1042 1314 1563 1971 3126 3942 4689 9378 14067 28134 38033 70321 76066 114099 140642 210963 228198 342297 421926 632889 684594 1026891 1265778 1898667 2053782 3797334 5133433 10266866 15400299 30800598 36637241 46200897 73274482 92401794 109911723 138602691 219823446 277205382 329735169 659470338 989205507 1978411014 2674518593 5349037186 8023555779 16047111558 24070667337 48141334674 72212002011 144424004022