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44534021445440 = 2651717347320237
BaseRepresentation
bin10100010000000111000101…
…00001110101011101000000
312211200102002112011220220222
422020003202201311131000
521314121133442223230
6234414351431122212
712244322365331012
oct1210034241653500
9184612075156828
1044534021445440
111320a85511969a
124bb2ba9813368
131bb0703a95a67
14add65b1c01b2
155236734e36e5
hex2880e2875740

44534021445440 has 112 divisors (see below), whose sum is σ = 112933722886992. Its totient is φ = 16668837052416.

The previous prime is 44534021445427. The next prime is 44534021445509. The reversal of 44534021445440 is 4454412043544.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11463424949824 + 33070596495616 = 3385768^2 + 5750704^2 .

It is a super-2 number, since 2×445340214454402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44534021445391 and 44534021445400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22718999 + ... + 24601238.

It is an arithmetic number, because the mean of its divisors is an integer number (1008336811491).

Almost surely, 244534021445440 is an apocalyptic number.

44534021445440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44534021445440 is an abundant number, since it is smaller than the sum of its proper divisors (68399701441552).

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

44534021445440 is a wasteful number, since it uses less digits than its factorization.

44534021445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47320444 (or 47320434 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

Adding to 44534021445440 its reverse (4454412043544), we get a palindrome (48988433488984).

The spelling of 44534021445440 in words is "forty-four trillion, five hundred thirty-four billion, twenty-one million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 173 272 320 340 346 544 680 692 865 1088 1360 1384 1730 2720 2768 2941 3460 5440 5536 5882 6920 11072 11764 13840 14705 23528 27680 29410 47056 55360 58820 94112 117640 188224 235280 470560 941120 47320237 94640474 189280948 236601185 378561896 473202370 757123792 804444029 946404740 1514247584 1608888058 1892809480 3028495168 3217776116 3785618960 4022220145 6435552232 7571237920 8044440290 8186401001 12871104464 15142475840 16088880580 16372802002 25742208928 32177761160 32745604004 40932005005 51484417856 64355522320 65491208008 81864010010 128711044640 130982416016 139168817017 163728020020 257422089280 261964832032 278337634034 327456040040 523929664064 556675268068 654912080080 695844085085 1113350536136 1309824160160 1391688170170 2226701072272 2619648320320 2783376340340 4453402144544 5566752680680 8906804289088 11133505361360 22267010722720 44534021445440