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41012030331120 = 2435533539133757
BaseRepresentation
bin10010101001100110110110…
…11111111101100011110000
312101012201012220112120121210
421110303123133331203300
520333420114231043440
6223120355554320120
711432010225654312
oct1124633337754360
9171181186476553
1041012030331120
1112082116a38882
1247244a5b89040
1319b6558087714
14a1adc85977b2
154b1c3c6e5a80
hex254cdb7fd8f0

41012030331120 has 160 divisors (see below), whose sum is σ = 129903082938432. Its totient is φ = 10699793268736.

The previous prime is 41012030331119. The next prime is 41012030331127. The reversal of 41012030331120 is 2113303021014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41012030331127) 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, 76719 + ... + 9057038.

Almost surely, 241012030331120 is an apocalyptic number.

41012030331120 is a gapful number since it is divisible by the number (40) 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 41012030331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64951541469216).

41012030331120 is an abundant number, since it is smaller than the sum of its proper divisors (88891052607312).

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

41012030331120 is a wasteful number, since it uses less digits than its factorization.

41012030331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134179 (or 9134173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 41012030331120 its reverse (2113303021014), we get a palindrome (43125333352134).

The spelling of 41012030331120 in words is "forty-one trillion, twelve billion, thirty million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 353 424 530 636 706 795 848 1059 1060 1272 1412 1590 1765 2118 2120 2544 2824 3180 3530 4236 4240 5295 5648 6360 7060 8472 10590 12720 14120 16944 18709 21180 28240 37418 42360 56127 74836 84720 93545 112254 149672 187090 224508 280635 299344 374180 449016 561270 748360 898032 1122540 1496720 2245080 4490160 9133757 18267514 27401271 36535028 45668785 54802542 73070056 91337570 109605084 137006355 146140112 182675140 219210168 274012710 365350280 438420336 484089121 548025420 730700560 968178242 1096050840 1452267363 1936356484 2192101680 2420445605 2904534726 3224216221 3872712968 4840891210 5809069452 6448432442 7261336815 7745425936 9672648663 9681782420 11618138904 12896864884 14522673630 16121081105 19345297326 19363564840 23236277808 25793729768 29045347260 32242162210 38690594652 38727129680 48363243315 51587459536 58090694520 64484324420 77381189304 96726486630 116181389040 128968648840 154762378608 170883459713 193452973260 257937297680 341766919426 386905946520 512650379139 683533838852 773811893040 854417298565 1025300758278 1367067677704 1708834597130 2050601516556 2563251895695 2734135355408 3417669194260 4101203033112 5126503791390 6835338388520 8202406066224 10253007582780 13670676777040 20506015165560 41012030331120