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41430433200040 = 2353378287370879
BaseRepresentation
bin10010110101110010001100…
…10000001111011110101000
312102200201012010100112220101
421122321012100033132220
520412244011344400130
6224040513412035144
711504151520451353
oct1132710620173650
9172621163315811
1041430433200040
11122236034a7a55
1247915b4302ab4
131a16b472306c1
14a3335a89729a
154bca79a261ca
hex25ae4640f7a8

41430433200040 has 64 divisors (see below), whose sum is σ = 93506621644800. Its totient is φ = 16520959300608.

The previous prime is 41430433200019. The next prime is 41430433200047. The reversal of 41430433200040 is 4000233403414.

It is a junction number, because it is equal to n+sod(n) for n = 41430433199981 and 41430433200008.

It is not an unprimeable number, because it can be changed into a prime (41430433200047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111523321 + ... + 111894199.

It is an arithmetic number, because the mean of its divisors is an integer number (1461040963200).

Almost surely, 241430433200040 is an apocalyptic number.

41430433200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41430433200040 is an abundant number, since it is smaller than the sum of its proper divisors (52076188444760).

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

41430433200040 is a wasteful number, since it uses less digits than its factorization.

41430433200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379514 (or 379510 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 41430433200040 its reverse (4000233403414), we get a palindrome (45430666603454).

The spelling of 41430433200040 in words is "forty-one trillion, four hundred thirty billion, four hundred thirty-three million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 337 674 1348 1685 2696 3370 6740 8287 13480 16574 33148 41435 66296 82870 165740 331480 370879 741758 1483516 1854395 2792719 2967032 3708790 5585438 7417580 11170876 13963595 14835160 22341752 27927190 55854380 111708760 124986223 249972446 499944892 624931115 999889784 1249862230 2499724460 3073474273 4999448920 6146948546 12293897092 15367371365 24587794184 30734742730 61469485460 122938970920 1035760830001 2071521660002 4143043320004 5178804150005 8286086640008 10357608300010 20715216600020 41430433200040