Search a number
-
+
144104411432412 = 22327967774844349
BaseRepresentation
bin100000110000111111101100…
…010000010000010111011100
3200220020020200012110120101200
4200300333230100100113130
5122342001313311314122
61230252352552235500
742232125436602534
oct4060775420202734
9626206605416350
10144104411432412
1141a09379506422
12141b449799bb90
136253cabc523b2
1427829955004c4
15119d746b275ac
hex830fec4105dc

144104411432412 has 72 divisors (see below), whose sum is σ = 369419736504000. Its totient is φ = 47356713376128.

The previous prime is 144104411432393. The next prime is 144104411432447. The reversal of 144104411432412 is 214234114401441.

144104411432412 is a `hidden beast` number, since 1 + 4 + 41 + 0 + 441 + 143 + 24 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35496787 + ... + 39347562.

Almost surely, 2144104411432412 is an apocalyptic number.

144104411432412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144104411432412 is an abundant number, since it is smaller than the sum of its proper divisors (225315325071588).

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

144104411432412 is a wasteful number, since it uses less digits than its factorization.

144104411432412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74845115 (or 74845110 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 144104411432412 its reverse (214234114401441), we get a palindrome (358338525833853).

The spelling of 144104411432412 in words is "one hundred forty-four trillion, one hundred four billion, four hundred eleven million, four hundred thirty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 677 711 948 1354 1422 2031 2708 2844 4062 6093 8124 12186 24372 53483 106966 160449 213932 320898 481347 641796 962694 1925388 74844349 149688698 224533047 299377396 449066094 673599141 898132188 1347198282 2694396564 5912703571 11825407142 17738110713 23650814284 35476221426 50669624273 53214332139 70952442852 101339248546 106428664278 152008872819 202678497092 212857328556 304017745638 456026618457 608035491276 912053236914 1824106473828 4002900317567 8005800635134 12008700952701 16011601270268 24017401905402 36026102858103 48034803810804 72052205716206 144104411432412