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41434433124520 = 235173115859123941
BaseRepresentation
bin10010110101111001101001…
…01010101111100010101000
312102201002111212220202202111
421122330310222233202220
520412330204334441040
6224042414340212104
711504352610321642
oct1132746452574250
9172632455822674
1041434433124520
111222527633a467
12479232b99a034
131a17333b26917
14a33619bcb892
154bcc10c83dea
hex25af34aaf8a8

41434433124520 has 128 divisors (see below), whose sum is σ = 101902931020800. Its totient is φ = 15094583193600.

The previous prime is 41434433124481. The next prime is 41434433124523. The reversal of 41434433124520 is 2542133443414.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (41434433124523) 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, 334245750 + ... + 334369690.

It is an arithmetic number, because the mean of its divisors is an integer number (796116648600).

Almost surely, 241434433124520 is an apocalyptic number.

41434433124520 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 41434433124520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50951465510400).

41434433124520 is an abundant number, since it is smaller than the sum of its proper divisors (60468497896280).

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

41434433124520 is a wasteful number, since it uses less digits than its factorization.

41434433124520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139859 (or 139855 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 41434433124520 its reverse (2542133443414), we get a palindrome (43976566567934).

The spelling of 41434433124520 in words is "forty-one trillion, four hundred thirty-four billion, four hundred thirty-three million, one hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 15859 21080 31718 63436 79295 123941 126872 158590 247882 269603 317180 491629 495764 539206 619705 634360 983258 991528 1078412 1239410 1348015 1966516 2106997 2156824 2458145 2478820 2696030 3842171 3933032 4213994 4916290 4957640 5392060 7684342 8357693 8427988 9832580 10534985 10784120 15368684 16715386 16855976 19210855 19665160 21069970 30737368 33430772 38421710 41788465 42139940 65316907 66861544 76843420 83576930 84279880 130633814 153686840 167153860 261267628 326584535 334307720 522535256 653169070 1306338140 1965580319 2612676280 3931160638 7862321276 9827901595 15724642552 19655803190 33414865423 39311606380 60932989889 66829730846 78623212760 121865979778 133659461692 167074327115 243731959556 267318923384 304664949445 334148654230 487463919112 609329898890 668297308460 1035860828113 1218659797780 1336594616920 2071721656226 2437319595560 4143443312452 5179304140565 8286886624904 10358608281130 20717216562260 41434433124520