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42223034030144 = 261125452354601
BaseRepresentation
bin10011001100110110100001…
…11100011101100001000000
312112111111000211122111221112
421212123100330131201000
521013240233202431034
6225444554414342452
711615341100400452
oct1146332074354100
9175444024574845
1042223034030144
11124a9762a59900
12489b1347baa28
131a737cc293626
14a5d86a2762d2
154d34b84517ce
hex2666d0f1d840

42223034030144 has 42 divisors (see below), whose sum is σ = 92095721582382. Its totient is φ = 19192288192000.

The previous prime is 42223034030137. The next prime is 42223034030171. The reversal of 42223034030144 is 44103043032224.

It can be written as a sum of positive squares in only one way, i.e., 41471539225600 + 751494804544 = 6439840^2 + 866888^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42223034030144.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2726169557 + ... + 2726185044.

It is an arithmetic number, because the mean of its divisors is an integer number (2192755275771).

Almost surely, 242223034030144 is an apocalyptic number.

42223034030144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42223034030144 is an abundant number, since it is smaller than the sum of its proper divisors (49872687552238).

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

42223034030144 is a wasteful number, since it uses less digits than its factorization.

42223034030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452354635 (or 5452354614 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 42223034030144 its reverse (44103043032224), we get a palindrome (86326077062368).

The spelling of 42223034030144 in words is "forty-two trillion, two hundred twenty-three billion, thirty-four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 5452354601 10904709202 21809418404 43618836808 59975900611 87237673616 119951801222 174475347232 239903602444 348950694464 479807204888 659734906721 959614409776 1319469813442 1919228819552 2638939626884 3838457639104 5277879253768 10555758507536 21111517015072 42223034030144