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44312234213040 = 2435270071683651
BaseRepresentation
bin10100001001101001111101…
…11110101011111010110000
312210220012121210101011020020
422010310332332223322300
521302002423424304130
6234124432005043440
712222311321060013
oct1204647676537260
9183805553334206
1044312234213040
1113134792aa5302
124b780116b6580
131b95819a2c3c1
14ad2a1b70537a
1551c9e246ce10
hex284d3efabeb0

44312234213040 has 80 divisors (see below), whose sum is σ = 137368635630336. Its totient is φ = 11816534752000.

The previous prime is 44312234212933. The next prime is 44312234213053. The reversal of 44312234213040 is 4031243221344.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44312234212992 and 44312234213010.

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, 64475215 + ... + 65158865.

Almost surely, 244312234213040 is an apocalyptic number.

44312234213040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44312234213040 is an abundant number, since it is smaller than the sum of its proper divisors (93056401417296).

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

44312234213040 is a wasteful number, since it uses less digits than its factorization.

44312234213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953738 (or 953732 counting only the distinct ones).

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

Adding to 44312234213040 its reverse (4031243221344), we get a palindrome (48343477434384).

The spelling of 44312234213040 in words is "forty-four trillion, three hundred twelve billion, two hundred thirty-four million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 270071 540142 683651 810213 1080284 1350355 1367302 1620426 2050953 2160568 2700710 2734604 3240852 3418255 4051065 4101906 4321136 5401420 5469208 6481704 6836510 8102130 8203812 10254765 10802840 10938416 12963408 13673020 16204260 16407624 20509530 21605680 27346040 32408520 32815248 41019060 54692080 64817040 82038120 164076240 184634309221 369268618442 553902927663 738537236884 923171546105 1107805855326 1477074473768 1846343092210 2215611710652 2769514638315 2954148947536 3692686184420 4431223421304 5539029276630 7385372368840 8862446842608 11078058553260 14770744737680 22156117106520 44312234213040