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44612471340 = 223251723961001
BaseRepresentation
bin101001100011000111…
…000100101000101100
311021011010020100200100
4221203013010220230
51212331243040330
632254504031100
73136352515053
oct514307045054
9137133210610
1044612471340
1117a13639028
128790762490
13428c848248
142232dd339a
1512618e0060
hexa631c4a2c

44612471340 has 144 divisors (see below), whose sum is σ = 143886637440. Its totient is φ = 11149824000.

The previous prime is 44612471317. The next prime is 44612471359. The reversal of 44612471340 is 4317421644.

44612471340 is a `hidden beast` number, since 4 + 4 + 612 + 4 + 7 + 1 + 34 + 0 = 666.

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 = 44612471295 and 44612471304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700840 + ... + 761840.

It is an arithmetic number, because the mean of its divisors is an integer number (999212760).

Almost surely, 244612471340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44612471340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71943318720).

44612471340 is an abundant number, since it is smaller than the sum of its proper divisors (99274166100).

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

44612471340 is a wasteful number, since it uses less digits than its factorization.

44612471340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61272 (or 61267 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 44612471340 its reverse (4317421644), we get a palindrome (48929892984).

The spelling of 44612471340 in words is "forty-four billion, six hundred twelve million, four hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 239 255 306 340 478 510 612 717 765 956 1020 1195 1434 1530 2151 2390 2868 3060 3585 4063 4302 4780 7170 8126 8604 10755 12189 14340 16252 20315 21510 24378 36567 40630 43020 48756 60945 61001 73134 81260 121890 122002 146268 182835 183003 243780 244004 305005 365670 366006 549009 610010 731340 732012 915015 1037017 1098018 1220020 1830030 2074034 2196036 2745045 3111051 3660060 4148068 5185085 5490090 6222102 9333153 10370170 10980180 12444204 14579239 15555255 18666306 20740340 29158478 31110510 37332612 43737717 46665765 58316956 62221020 72896195 87475434 93331530 131213151 145792390 174950868 186663060 218688585 247847063 262426302 291584780 437377170 495694126 524852604 656065755 743541189 874754340 991388252 1239235315 1312131510 1487082378 2230623567 2478470630 2624263020 2974164756 3717705945 4461247134 4956941260 7435411890 8922494268 11153117835 14870823780 22306235670 44612471340