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41441677734420 = 22325737094448317
BaseRepresentation
bin10010110110000111001000…
…11110101111001000010100
312102201210012202221002020200
421123003210132233020110
520412440024000000140
6224050013253300500
711505030256433415
oct1133034436571024
9172653182832220
1041441677734420
1112228353776077
124793812034730
131a17c19a05a42
14a33b0601d80c
154bced6cba030
hex25b0e47af214

41441677734420 has 144 divisors (see below), whose sum is σ = 127608186735120. Its totient is φ = 10884353107968.

The previous prime is 41441677734367. The next prime is 41441677734421. The reversal of 41441677734420 is 2443777614414.

41441677734420 is a `hidden beast` number, since 4 + 1 + 441 + 6 + 77 + 73 + 44 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6395325094404 + 35046352640016 = 2528898^2 + 5919996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41441677734421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7092102 + ... + 11540418.

Almost surely, 241441677734420 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 41441677734420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63804093367560).

41441677734420 is an abundant number, since it is smaller than the sum of its proper divisors (86166509000700).

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

41441677734420 is a wasteful number, since it uses less digits than its factorization.

41441677734420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449114 (or 4449109 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 41441677734420 in words is "forty-one trillion, four hundred forty-one billion, six hundred seventy-seven million, seven hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 709 730 876 1095 1314 1418 1460 2127 2190 2628 2836 3285 3545 4254 4380 6381 6570 7090 8508 10635 12762 13140 14180 21270 25524 31905 42540 51757 63810 103514 127620 155271 207028 258785 310542 465813 517570 621084 776355 931626 1035140 1552710 1863252 2329065 3105420 4448317 4658130 8896634 9316260 13344951 17793268 22241585 26689902 40034853 44483170 53379804 66724755 80069706 88966340 133449510 160139412 200174265 266899020 324727141 400348530 649454282 800697060 974181423 1298908564 1623635705 1948362846 2922544269 3153856753 3247271410 3896725692 4870907115 5845088538 6307713506 6494542820 9461570259 9741814230 11690177076 12615427012 14612721345 15769283765 18923140518 19483628460 28384710777 29225442690 31538567530 37846281036 47307851295 56769421554 58450885380 63077135060 94615702590 113538843108 141923553885 189231405180 230231542969 283847107770 460463085938 567694215540 690694628907 920926171876 1151157714845 1381389257814 2072083886721 2302315429690 2762778515628 3453473144535 4144167773442 4604630859380 6906946289070 8288335546884 10360419433605 13813892578140 20720838867210 41441677734420