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41424400140400 = 24524312911865527
BaseRepresentation
bin10010110101100110111101…
…01001111100100001110000
312102200010121200002100221001
421122303132221330201300
520412144132413443100
6224034035014411344
711503546152342244
oct1132633651744160
9172603550070831
1041424400140400
1112220a97a46a52
1247903ab960b54
131a163c535b124
14a32d47520424
154bc82505cd6a
hex25acdea7c870

41424400140400 has 120 divisors (see below), whose sum is σ = 101915525849984. Its totient is φ = 16171871788800.

The previous prime is 41424400140397. The next prime is 41424400140407. The reversal of 41424400140400 is 404100442414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424400140407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21272437 + ... + 23137963.

Almost surely, 241424400140400 is an apocalyptic number.

41424400140400 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 41424400140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50957762924992).

41424400140400 is an abundant number, since it is smaller than the sum of its proper divisors (60491125709584).

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

41424400140400 is a wasteful number, since it uses less digits than its factorization.

41424400140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866879 (or 1866868 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 41424400140400 its reverse (404100442414), we get a palindrome (41828500582814).

The spelling of 41424400140400 in words is "forty-one trillion, four hundred twenty-four billion, four hundred million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1291 1720 2150 2582 3440 4300 5164 6455 8600 10328 12910 17200 20656 25820 32275 51640 55513 64550 103280 111026 129100 222052 258200 277565 444104 516400 555130 888208 1110260 1387825 1865527 2220520 2775650 3731054 4441040 5551300 7462108 9327635 11102600 14924216 18655270 22205200 29848432 37310540 46638175 74621080 80217661 93276350 149242160 160435322 186552700 320870644 373105400 401088305 641741288 746210800 802176610 1283482576 1604353220 2005441525 2408395357 3208706440 4010883050 4816790714 6417412880 8021766100 9633581428 12041976785 16043532200 19267162856 24083953570 32087064400 38534325712 48167907140 60209883925 96335814280 103561000351 120419767850 192671628560 207122000702 240839535700 414244001404 481679071400 517805001755 828488002808 963358142800 1035610003510 1656976005616 2071220007020 2589025008775 4142440014040 5178050017550 8284880028080 10356100035100 20712200070200 41424400140400