Search a number
-
+
420044024442 = 237175147114299
BaseRepresentation
bin1100001110011001001…
…00110010101001111010
31111011012120221022102110
412013030210302221322
523340222232240232
6520544321113150
742230040204030
oct6071444625172
91434176838373
10420044024442
111521599a0659
12694a7a887b6
13307c118b533
141648a268550
15add645dacc
hex61cc932a7a

420044024442 has 64 divisors (see below), whose sum is σ = 1016783539200. Its totient is φ = 112930081536.

The previous prime is 420044024431. The next prime is 420044024447. The reversal of 420044024442 is 244420440024.

It is a super-3 number, since 3×4200440244423 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (420044024447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3617809 + ... + 3732107.

It is an arithmetic number, because the mean of its divisors is an integer number (15887242800).

Almost surely, 2420044024442 is an apocalyptic number.

420044024442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

420044024442 is an abundant number, since it is smaller than the sum of its proper divisors (596739514758).

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

420044024442 is a wasteful number, since it uses less digits than its factorization.

420044024442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119475.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 420044024442 its reverse (244420440024), we get a palindrome (664464464466).

The spelling of 420044024442 in words is "four hundred twenty billion, forty-four million, twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 5147 10294 15441 30882 36029 72058 87499 108087 114299 174998 216174 228598 262497 342897 524994 612493 685794 800093 1224986 1600186 1837479 1943083 2400279 3674958 3886166 4800558 5829249 11658498 13601581 27203162 40804743 81609486 588296953 1176593906 1764890859 3529781718 4118078671 8236157342 10001048201 12354236013 20002096402 24708472026 30003144603 60006289206 70007337407 140014674814 210022012221 420044024442