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44031144030432 = 25313107329732387
BaseRepresentation
bin10100000001011110011001…
…01100101111000011100000
312202220100002010121101100020
422000233030230233003200
521232401240332433212
6233351343414553440
712163100536664316
oct1200571454570340
9182810063541306
1044031144030432
1113036559a08769
124b31645068880
131b75171784170
14ac3193b840b6
1551553ee82d8c
hex280bccb2f0e0

44031144030432 has 96 divisors (see below), whose sum is σ = 125635953405312. Its totient is φ = 13421427039744.

The previous prime is 44031144030403. The next prime is 44031144030469. The reversal of 44031144030432 is 23403044113044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 44031144030393 and 44031144030402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164732658 + ... + 164999729.

It is an arithmetic number, because the mean of its divisors is an integer number (1308707847972).

Almost surely, 244031144030432 is an apocalyptic number.

It is an amenable number.

44031144030432 is an abundant number, since it is smaller than the sum of its proper divisors (81604809374880).

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

44031144030432 is a wasteful number, since it uses less digits than its factorization.

44031144030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329732520 (or 329732512 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 44031144030432 its reverse (23403044113044), we get a palindrome (67434188143476).

The spelling of 44031144030432 in words is "forty-four trillion, thirty-one billion, one hundred forty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 107 156 208 214 312 321 416 428 624 642 856 1248 1284 1391 1712 2568 2782 3424 4173 5136 5564 8346 10272 11128 16692 22256 33384 44512 66768 133536 329732387 659464774 989197161 1318929548 1978394322 2637859096 3956788644 4286521031 5275718192 7913577288 8573042062 10551436384 12859563093 15827154576 17146084124 25719126186 31654309152 34292168248 35281365409 51438252372 68584336496 70562730818 102876504744 105844096227 137168672992 141125461636 205753009488 211688192454 282250923272 411506018976 423376384908 458657750317 564501846544 846752769816 917315500634 1129003693088 1375973250951 1693505539632 1834631001268 2751946501902 3387011079264 3669262002536 5503893003804 7338524005072 11007786007608 14677048010144 22015572015216 44031144030432