Search a number
-
+
42200222240440 = 23511791214045519
BaseRepresentation
bin10011001100001100000010…
…10000011000111010111000
312112102022011001020112100101
421212012001100120322320
521012402023343143230
6225430303042445144
711613602563363105
oct1146060120307270
9175368131215311
1042200222240440
11124a001732a640
1248968290637b4
131a716051c1404
14a5c70477baac
154d2ad091caca
hex266181418eb8

42200222240440 has 64 divisors (see below), whose sum is σ = 104893532928000. Its totient is φ = 15151288064640.

The previous prime is 42200222240413. The next prime is 42200222240459. The reversal of 42200222240440 is 4404222200224.

It is a junction number, because it is equal to n+sod(n) for n = 42200222240399 and 42200222240408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606988000 + ... + 607057519.

It is an arithmetic number, because the mean of its divisors is an integer number (1638961452000).

Almost surely, 242200222240440 is an apocalyptic number.

42200222240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42200222240440 is an abundant number, since it is smaller than the sum of its proper divisors (62693310687560).

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

42200222240440 is a wasteful number, since it uses less digits than its factorization.

42200222240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214045620 (or 1214045616 counting only the distinct ones).

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

Adding to 42200222240440 its reverse (4404222200224), we get a palindrome (46604444440664).

The spelling of 42200222240440 in words is "forty-two trillion, two hundred billion, two hundred twenty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8690 17380 34760 1214045519 2428091038 4856182076 6070227595 9712364152 12140455190 13354500709 24280910380 26709001418 48561820760 53418002836 66772503545 95909596001 106836005672 133545007090 191819192002 267090014180 383638384004 479547980005 534180028360 767276768008 959095960010 1055005556011 1918191920020 2110011112022 3836383840040 4220022224044 5275027780055 8440044448088 10550055560110 21100111120220 42200222240440