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44013031926144 = 273313787997609
BaseRepresentation
bin10100000000111100101010…
…01000100010100110000000
312202211121022212111011010220
422000132111020202212000
521232102142133114034
6233335150245423040
712161556650434461
oct1200362510424600
9182747285434126
1044013031926144
1113029905117736
124b2a02b40aa80
131b735462627a8
14ac23564d4d68
15514d2ed33749
hex280795222980

44013031926144 has 128 divisors (see below), whose sum is σ = 120685316352000. Its totient is φ = 14197231964160.

The previous prime is 44013031926137. The next prime is 44013031926151. The reversal of 44013031926144 is 44162913031044.

It is an interprime number because it is at equal distance from previous prime (44013031926137) and next prime (44013031926151).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 44013031926096 and 44013031926105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450862812 + ... + 450960420.

It is an arithmetic number, because the mean of its divisors is an integer number (942854034000).

Almost surely, 244013031926144 is an apocalyptic number.

It is an amenable number.

44013031926144 is an abundant number, since it is smaller than the sum of its proper divisors (76672284425856).

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

44013031926144 is a wasteful number, since it uses less digits than its factorization.

44013031926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135536 (or 135524 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 44013031926144 its reverse (44162913031044), we get a palindrome (88175944957188).

The spelling of 44013031926144 in words is "forty-four trillion, thirteen billion, thirty-one million, nine hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 37879 75758 97609 113637 151516 195218 227274 292827 303032 390436 454548 585654 606064 780872 909096 1171308 1174249 1212128 1561744 1818192 2342616 2348498 2424256 3025879 3123488 3522747 3636384 4685232 4696996 4848512 6051758 6246976 7045494 7272768 9077637 9370464 9393992 12103516 12493952 14090988 14545536 18155274 18740928 18787984 24207032 28181976 36310548 37481856 37575968 48414064 56363952 72621096 75151936 96828128 112727904 145242192 150303872 193656256 225455808 290484384 387312512 450911616 580968768 1161937536 3697331311 7394662622 11091993933 14789325244 22183987866 29578650488 44367975732 59157300976 88735951464 114617270641 118314601952 177471902928 229234541282 236629203904 343851811923 354943805856 458469082564 473258407808 687703623846 709887611712 916938165128 1375407247692 1419775223424 1833876330256 2750814495384 3667752660512 5501628990768 7335505321024 11003257981536 14671010642048 22006515963072 44013031926144