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41344320102000 = 2435322619304643
BaseRepresentation
bin10010110011010001110011…
…00000110101111001110000
312102101110220202100220212220
421121220321200311321300
520404341131421231000
6223533152441321040
711465012536264446
oct1131507140657160
9172343822326786
1041344320102000
11121a0033942933
124778981196180
131a0b9a2781616
14a2d10bcacb96
154ba6d9a2e1a0
hex259a39835e70

41344320102000 has 160 divisors (see below), whose sum is σ = 133300418584320. Its totient is φ = 11024628409600.

The previous prime is 41344320101989. The next prime is 41344320102073. The reversal of 41344320102000 is 20102344314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135561679 + ... + 135866321.

It is an arithmetic number, because the mean of its divisors is an integer number (833127616152).

Almost surely, 241344320102000 is an apocalyptic number.

41344320102000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41344320102000 is an abundant number, since it is smaller than the sum of its proper divisors (91956098482320).

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

41344320102000 is a wasteful number, since it uses less digits than its factorization.

41344320102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327288 (or 327272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41344320102000 its reverse (20102344314), we get a palindrome (41364422446314).

The spelling of 41344320102000 in words is "forty-one trillion, three hundred forty-four billion, three hundred twenty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 22619 45238 67857 90476 113095 135714 180952 226190 271428 304643 339285 361904 452380 542856 565475 609286 678570 904760 913929 1085712 1130950 1218572 1357140 1523215 1696425 1809520 1827858 2261900 2437144 2714280 2827375 3046430 3392850 3655716 4523800 4569645 4874288 5428560 5654750 6092860 6785700 7311432 7616075 8482125 9047600 9139290 11309500 12185720 13571400 14622864 15232150 16964250 18278580 22619000 22848225 24371440 27142800 30464300 33928500 36557160 38080375 45238000 45696450 60928600 67857000 73114320 76160750 91392900 114241125 121857200 135714000 152321500 182785800 228482250 304643000 365571600 456964500 609286000 913929000 1827858000 6890720017 13781440034 20672160051 27562880068 34453600085 41344320102 55125760136 68907200170 82688640204 103360800255 110251520272 137814400340 165377280408 172268000425 206721600510 275628800680 330754560816 344536000850 413443201020 516804001275 551257601360 689072001700 826886402040 861340002125 1033608002550 1378144003400 1653772804080 1722680004250 2067216005100 2584020006375 2756288006800 3445360008500 4134432010200 5168040012750 6890720017000 8268864020400 10336080025500 13781440034000 20672160051000 41344320102000