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44400145680 = 24335111868693
BaseRepresentation
bin101001010110011101…
…000111010100010000
311020121022201002122000
4221112131013110100
51211412414130210
632221441114000
73131164003602
oct512635072420
9136538632560
1044400145680
11179147a7680
128731628900
134257866967
142212b23172
15124ce4dac0
hexa56747510

44400145680 has 160 divisors (see below), whose sum is σ = 166837000320. Its totient is φ = 10763665920.

The previous prime is 44400145663. The next prime is 44400145681. The reversal of 44400145680 is 8654100444.

It is a happy number.

44400145680 is a `hidden beast` number, since 44 + 40 + 0 + 14 + 568 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (44400145681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910587 + ... + 958106.

It is an arithmetic number, because the mean of its divisors is an integer number (1042731252).

Almost surely, 244400145680 is an apocalyptic number.

44400145680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400145680 is an abundant number, since it is smaller than the sum of its proper divisors (122436854640).

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

44400145680 is a wasteful number, since it uses less digits than its factorization.

44400145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868726 (or 1868714 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 44400145680 in words is "forty-four billion, four hundred million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 1868693 3737386 5606079 7474772 9343465 11212158 14949544 16818237 18686930 20555623 22424316 28030395 29899088 33636474 37373860 41111246 44848632 50454711 56060790 61666869 67272948 74747720 82222492 84091185 89697264 100909422 102778115 112121580 123333738 134545896 149495440 164444984 168182370 185000607 201818844 205556230 224243160 246667476 252273555 269091792 308334345 328889968 336364740 370001214 403637688 411112460 448486320 493334952 504547110 555001821 616668690 672729480 740002428 807275376 822224920 925003035 986669904 1009094220 1110003642 1233337380 1345458960 1480004856 1644449840 1850006070 2018188440 2220007284 2466674760 2775009105 2960009712 3700012140 4036376880 4440014568 4933349520 5550018210 7400024280 8880029136 11100036420 14800048560 22200072840 44400145680