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42022264644 = 22333141306133
BaseRepresentation
bin100111001000101110…
…001101111101000100
311000110121022020002000
4213020232031331010
51142030144432034
631145454545300
73015231233043
oct471056157504
9130417266060
1042022264644
1116904522438
128189208230
133c69023a69
142068dc055a
15115e2e6599
hex9c8b8df44

42022264644 has 96 divisors (see below), whose sum is σ = 115204346880. Its totient is φ = 13224902400.

The previous prime is 42022264643. The next prime is 42022264651. The reversal of 42022264644 is 44646222024.

42022264644 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 2 + 6 + 4 + 644 = 666.

42022264644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42022264599 and 42022264608.

It is not an unprimeable number, because it can be changed into a prime (42022264643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15799 + ... + 290334.

It is an arithmetic number, because the mean of its divisors is an integer number (1200045280).

Almost surely, 242022264644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42022264644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57602173440).

42022264644 is an abundant number, since it is smaller than the sum of its proper divisors (73182082236).

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

42022264644 is a wasteful number, since it uses less digits than its factorization.

42022264644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306218 (or 306210 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42022264644 its reverse (44646222024), we get a palindrome (86668486668).

The spelling of 42022264644 in words is "forty-two billion, twenty-two million, two hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 93 108 123 124 164 186 246 279 369 372 492 558 738 837 1107 1116 1271 1476 1674 2214 2542 3348 3813 4428 5084 7626 11439 15252 22878 34317 45756 68634 137268 306133 612266 918399 1224532 1836798 2755197 3673596 5510394 8265591 9490123 11020788 12551453 16531182 18980246 25102906 28470369 33062364 37654359 37960492 50205812 56940738 75308718 85411107 112963077 113881476 150617436 170822214 225926154 256233321 338889231 341644428 389095043 451852308 512466642 677778462 778190086 1024933284 1167285129 1355556924 1556380172 2334570258 3501855387 4669140516 7003710774 10505566161 14007421548 21011132322 42022264644