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44034232441100 = 225211378761123493
BaseRepresentation
bin10100000001100100001001…
…10010000101100100001100
312202220122001100222220022112
422000302010302011210030
521232424102001103400
6233353014102203152
712163240221023126
oct1200620462054414
9182818040886275
1044034232441100
11130378a4274380
124b321674234b8
131b755445820b5
14ac33a8002216
1551567118c835
hex280c84c8590c

44034232441100 has 144 divisors (see below), whose sum is σ = 107071449759456. Its totient is φ = 15577774848000.

The previous prime is 44034232441097. The next prime is 44034232441153. The reversal of 44034232441100 is 114423243044.

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, 356510954 + ... + 356634446.

Almost surely, 244034232441100 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 44034232441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53535724879728).

44034232441100 is an abundant number, since it is smaller than the sum of its proper divisors (63037217318356).

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

44034232441100 is a wasteful number, since it uses less digits than its factorization.

44034232441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132316 (or 132309 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 44034232441100 its reverse (114423243044), we get a palindrome (44148655684144).

The spelling of 44034232441100 in words is "forty-four trillion, thirty-four billion, two hundred thirty-two million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 8761 10175 17522 20350 35044 40700 43805 87610 96371 123493 175220 192742 219025 246986 324157 385484 438050 481855 493972 617465 648314 876100 963710 1234930 1296628 1358423 1620785 1927420 2409275 2469860 2716846 3087325 3241570 3565727 4569241 4818550 5433692 6174650 6483140 6792115 7131454 8103925 9138482 9637100 12349300 13584230 14262908 16207850 17828635 18276964 22846205 27168460 32415700 33960575 35657270 45692410 50261651 67921150 71314540 89143175 91384820 100523302 114231025 135842300 178286350 201046604 228462050 251308255 356572700 456924100 502616510 1005233020 1081922173 1256541275 2163844346 2513082550 4327688692 5026165100 5409610865 10819221730 11901143903 21638443460 23802287806 27048054325 40031120401 47604575612 54096108650 59505719515 80062240802 108192217300 119011439030 160124481604 200155602005 238022878060 297528597575 400311204010 440342324411 595057195150 800622408020 880684648822 1000778010025 1190114390300 1761369297644 2001556020050 2201711622055 4003112040100 4403423244110 8806846488220 11008558110275 22017116220550 44034232441100