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42242422432 = 257792387117
BaseRepresentation
bin100111010101110110…
…000011011010100000
311001000221120101210011
4213111312003122200
51143003030004212
631223401414304
73023543444350
oct472566033240
9131027511704
1042242422432
1116a07823221
12822aa9a394
133ca2818242
14208a32cb60
1511737d34a7
hex9d5d836a0

42242422432 has 48 divisors (see below), whose sum is σ = 96248597760. Its totient is φ = 17874724608.

The previous prime is 42242422423. The next prime is 42242422447. The reversal of 42242422432 is 23422424224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42242422394 and 42242422403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175863 + ... + 1211254.

It is an arithmetic number, because the mean of its divisors is an integer number (2005179120).

Almost surely, 242242422432 is an apocalyptic number.

It is an amenable number.

42242422432 is an abundant number, since it is smaller than the sum of its proper divisors (54006175328).

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

42242422432 is a wasteful number, since it uses less digits than its factorization.

42242422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387213 (or 2387205 counting only the distinct ones).

The product of its digits is 49152, while the sum is 31.

Adding to 42242422432 its reverse (23422424224), we get a palindrome (65664846656).

The spelling of 42242422432 in words is "forty-two billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2528 4424 8848 17696 2387117 4774234 9548468 16709819 19096936 33419638 38193872 66839276 76387744 133678552 188582243 267357104 377164486 534714208 754328972 1320075701 1508657944 2640151402 3017315888 5280302804 6034631776 10560605608 21121211216 42242422432