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44534350440 = 23325891389961
BaseRepresentation
bin101001011110011101…
…000100001001101000
311020221200020101221200
4221132131010021220
51212201243203230
632243033404200
73134413506246
oct513635041150
9136850211850
1044534350440
11179835306a8
12876a569660
1342795c5268
142226899796
151259b0d160
hexa5e744268

44534350440 has 96 divisors (see below), whose sum is σ = 146362998600. Its totient is φ = 11742382080.

The previous prime is 44534350411. The next prime is 44534350457. The reversal of 44534350440 is 4405343544.

It can be written as a sum of positive squares in 4 ways, for example, as 35001171396 + 9533179044 = 187086^2 + 97638^2 .

It is a super-2 number, since 2×445343504402 (a number of 22 digits) contains 22 as substring.

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 = 44534350395 and 44534350404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662941 + ... + 727020.

Almost surely, 244534350440 is an apocalyptic number.

44534350440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44534350440 is an abundant number, since it is smaller than the sum of its proper divisors (101828648160).

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

44534350440 is a wasteful number, since it uses less digits than its factorization.

44534350440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390067 (or 1390060 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 44534350440 its reverse (4405343544), we get a palindrome (48939693984).

It can be divided in two parts, 445343504 and 40, that added together give a palindrome (445343544).

The spelling of 44534350440 in words is "forty-four billion, five hundred thirty-four million, three hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2670 3204 3560 4005 5340 6408 8010 10680 16020 32040 1389961 2779922 4169883 5559844 6949805 8339766 11119688 12509649 13899610 16679532 20849415 25019298 27799220 33359064 41698830 50038596 55598440 62548245 83397660 100077192 123706529 125096490 166795320 247413058 250192980 371119587 494826116 500385960 618532645 742239174 989652232 1113358761 1237065290 1484478348 1855597935 2226717522 2474130580 2968956696 3711195870 4453435044 4948261160 5566793805 7422391740 8906870088 11133587610 14844783480 22267175220 44534350440