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44466425940048 = 2437593316776617
BaseRepresentation
bin10100001110001001001011…
…00001011100100001010000
312211102221121200022110120020
422013010211201130201100
521312014220020040143
6234323332152543440
712236410326114510
oct1207044541344120
9184387550273506
1044466425940048
1113194118229a52
124ba1a840b1b80
131ba722084baa8
14ada287a77840
15521a19045883
hex28712585c850

44466425940048 has 160 divisors (see below), whose sum is σ = 133910308715520. Its totient is φ = 12451625303040.

The previous prime is 44466425939951. The next prime is 44466425940121. The reversal of 44466425940048 is 84004952466444.

It is a junction number, because it is equal to n+sod(n) for n = 44466425939973 and 44466425940000.

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 31 ways as a sum of consecutive naturals, for example, 3173436 + ... + 9950052.

It is an arithmetic number, because the mean of its divisors is an integer number (836939429472).

Almost surely, 244466425940048 is an apocalyptic number.

44466425940048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44466425940048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66955154357760).

44466425940048 is an abundant number, since it is smaller than the sum of its proper divisors (89443882775472).

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

44466425940048 is a wasteful number, since it uses less digits than its factorization.

44466425940048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777025 (or 6777019 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 60.

The spelling of 44466425940048 in words is "forty-four trillion, four hundred sixty-six billion, four hundred twenty-five million, nine hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 331 336 354 413 472 662 708 826 944 993 1239 1324 1416 1652 1986 2317 2478 2648 2832 3304 3972 4634 4956 5296 6608 6951 7944 9268 9912 13902 15888 18536 19529 19824 27804 37072 39058 55608 58587 78116 111216 117174 136703 156232 234348 273406 312464 410109 468696 546812 820218 937392 1093624 1640436 2187248 3280872 6561744 6776617 13553234 20329851 27106468 40659702 47436319 54212936 81319404 94872638 108425872 142308957 162638808 189745276 284617914 325277616 379490552 399820403 569235828 758981104 799640806 1138471656 1199461209 1599281612 2243060227 2276943312 2398922418 2798742821 3198563224 4486120454 4797844836 5597485642 6397126448 6729180681 8396228463 8972240908 9595689672 11194971284 13458361362 15701421589 16792456926 17944481816 19191379344 22389942568 26916722724 31402843178 33584913852 35888963632 44779885136 47104264767 53833445448 62805686356 67169827704 94208529534 107666890896 125611372712 132340553393 134339655408 188417059068 251222745424 264681106786 376834118136 397021660179 529362213572 753668236272 794043320358 926383873751 1058724427144 1588086640716 1852767747502 2117448854288 2779151621253 3176173281432 3705535495004 5558303242506 6352346562864 7411070990008 11116606485012 14822141980016 22233212970024 44466425940048