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144412332444 = 223219375706193
BaseRepresentation
bin1000011001111110100…
…1010101000110011100
3111210202100021120222100
42012133221111012130
54331224024114234
6150201521245100
713301446400202
oct2063751250634
9453670246870
10144412332444
1156276aa6886
1223ba3493790
1310805a523b3
146dbd637072
153b53294399
hex219fa5519c

144412332444 has 72 divisors (see below), whose sum is σ = 394640377040. Its totient is φ = 44371348992.

The previous prime is 144412332433. The next prime is 144412332457. The reversal of 144412332444 is 444233214441.

144412332444 is a `hidden beast` number, since 144 + 41 + 2 + 3 + 32 + 444 = 666.

144412332444 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1444123324443 (a number of 34 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144412332399 and 144412332408.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2827789 + ... + 2878404.

Almost surely, 2144412332444 is an apocalyptic number.

It is an amenable number.

144412332444 is an abundant number, since it is smaller than the sum of its proper divisors (250228044596).

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

144412332444 is a wasteful number, since it uses less digits than its factorization.

144412332444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706259 (or 5706254 counting only the distinct ones).

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

Adding to 144412332444 its reverse (444233214441), we get a palindrome (588645546885).

The spelling of 144412332444 in words is "one hundred forty-four billion, four hundred twelve million, three hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 6327 8436 12654 25308 5706193 11412386 17118579 22824772 34237158 51355737 68474316 102711474 108417667 205422948 211129141 216835334 325253001 422258282 433670668 633387423 650506002 844516564 975759003 1266774846 1301012004 1900162269 1951518006 2533549692 3800324538 3903036012 4011453679 7600649076 8022907358 12034361037 16045814716 24068722074 36103083111 48137444148 72206166222 144412332444