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42400042402240 = 265154985539143
BaseRepresentation
bin10011010010000000001110…
…11101110100000111000000
312120010101220212010111012201
421221000013131310013000
521024140241323332430
6230102151030202544
711634205401624355
oct1151000735640700
9176111825114181
1042400042402240
1112567836629726
1249094b44b3454
131a873cb195243
14a6825ca0862c
154d7dc81bb8ca
hex2690077741c0

42400042402240 has 56 divisors (see below), whose sum is σ = 101030282978400. Its totient is φ = 16949067752448.

The previous prime is 42400042402217. The next prime is 42400042402241. The reversal of 42400042402240 is 4220424000424.

It is a junction number, because it is equal to n+sod(n) for n = 42400042402199 and 42400042402208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400042402241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42273892 + ... + 43265251.

Almost surely, 242400042402240 is an apocalyptic number.

42400042402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42400042402240 is an abundant number, since it is smaller than the sum of its proper divisors (58630240576160).

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

42400042402240 is a wasteful number, since it uses less digits than its factorization.

42400042402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85540709 (or 85540699 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 42400042402240 its reverse (4220424000424), we get a palindrome (46620466402664).

The spelling of 42400042402240 in words is "forty-two trillion, four hundred billion, forty-two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1549 3098 6196 7745 12392 15490 24784 30980 49568 61960 99136 123920 247840 495680 85539143 171078286 342156572 427695715 684313144 855391430 1368626288 1710782860 2737252576 3421565720 5474505152 6843131440 13686262880 27372525760 132500132507 265000265014 530000530028 662500662535 1060001060056 1325001325070 2120002120112 2650002650140 4240004240224 5300005300280 8480008480448 10600010600560 21200021201120 42400042402240