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44233214431140 = 22325725015103677
BaseRepresentation
bin10100000111010110110010…
…00010001000111110100100
312210121122122202201022200100
422003223121002020332210
521244204110343244030
6234024242544544100
712213513201026100
oct1203533102107644
9183548582638610
1044233214431140
1113104223430629
124b6483a022030
131b8b2359c96c7
14accc82c08900
1551a91a074360
hex283ad9088fa4

44233214431140 has 108 divisors (see below), whose sum is σ = 156080056666716. Its totient is φ = 10110449010816.

The previous prime is 44233214431129. The next prime is 44233214431141. The reversal of 44233214431140 is 4113441233244.

44233214431140 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 3 + 214 + 431 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14583294540864 + 29649919890276 = 3818808^2 + 5445174^2 .

It is a super-3 number, since 3×442332144311403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 44233214431095 and 44233214431104.

It is not an unprimeable number, because it can be changed into a prime (44233214431141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2507543019 + ... + 2507560658.

It is an arithmetic number, because the mean of its divisors is an integer number (1445185709877).

Almost surely, 244233214431140 is an apocalyptic number.

It is an amenable number.

44233214431140 is an abundant number, since it is smaller than the sum of its proper divisors (111846842235576).

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

44233214431140 is a wasteful number, since it uses less digits than its factorization.

44233214431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015103706 (or 5015103694 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44233214431140 its reverse (4113441233244), we get a palindrome (48346655664384).

The spelling of 44233214431140 in words is "forty-four trillion, two hundred thirty-three billion, two hundred fourteen million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 5015103677 10030207354 15045311031 20060414708 25075518385 30090622062 35105725739 45135933093 50151036770 60181244124 70211451478 75226555155 90271866186 100302073540 105317177217 140422902956 150453110310 175528628695 180543732372 210634354434 225679665465 245740080173 300906220620 315951531651 351057257390 421268708868 451359330930 491480160346 526585886085 631903063302 702114514780 737220240519 902718661860 982960320692 1053171772170 1228700400865 1263806126604 1474440481038 1579757658255 2106343544340 2211660721557 2457400801730 2948880962076 3159515316510 3686101202595 4423321443114 4914801603460 6319030633020 7372202405190 8846642886228 11058303607785 14744404810380 22116607215570 44233214431140