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144210219912 = 23331160799991
BaseRepresentation
bin1000011001001110011…
…0010101001110001000
3111210020020222012201000
42012103212111032020
54330320304014122
6150125501255000
713263443433633
oct2062346251610
9453206865630
10144210219912
1156182a00730
1223b47864460
13107a2c08695
146da0864c1a
153b4066e0ac
hex2193995388

144210219912 has 128 divisors (see below), whose sum is σ = 437724979200. Its totient is φ = 43627636800.

The previous prime is 144210219911. The next prime is 144210219913. The reversal of 144210219912 is 219912012441.

144210219912 is a `hidden beast` number, since 1 + 4 + 421 + 0 + 219 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (144210219911) and next prime (144210219913).

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

It is not an unprimeable number, because it can be changed into a prime (144210219911) 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, 1392237 + ... + 1492227.

It is an arithmetic number, because the mean of its divisors is an integer number (3419726400).

Almost surely, 2144210219912 is an apocalyptic number.

144210219912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144210219912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218862489600).

144210219912 is an abundant number, since it is smaller than the sum of its proper divisors (293514759288).

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

144210219912 is a wasteful number, since it uses less digits than its factorization.

144210219912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100624 (or 100614 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 144210219912 in words is "one hundred forty-four billion, two hundred ten million, two hundred nineteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 607 792 1188 1214 1821 2376 2428 3642 4856 5463 6677 7284 10926 13354 14568 16389 20031 21852 26708 32778 40062 43704 53416 60093 65556 80124 99991 120186 131112 160248 180279 199982 240372 299973 360558 399964 480744 599946 721116 799928 899919 1099901 1199892 1442232 1799838 2199802 2399784 2699757 3299703 3599676 4399604 5399514 6599406 7199352 8799208 9899109 10799028 13198812 19798218 21598056 26397624 29697327 39596436 59394654 60694537 79192872 118789308 121389074 182083611 237578616 242778148 364167222 485556296 546250833 667639907 728334444 1092501666 1335279814 1456668888 1638752499 2002919721 2185003332 2670559628 3277504998 4005839442 4370006664 5341119256 6008759163 6555009996 8011678884 12017518326 13110019992 16023357768 18026277489 24035036652 36052554978 48070073304 72105109956 144210219912