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42004412144 = 2431779710391
BaseRepresentation
bin100111000111101010…
…000111011011110000
311000102100201020001022
4213013222013123300
51142011112142034
631144020155012
73014623416662
oct470752073360
9130370636038
1042004412144
11168a5439602
128183238a68
133c65412c56
142066894532
15115c96bb2e
hex9c7a876f0

42004412144 has 40 divisors (see below), whose sum is σ = 81750580128. Its totient is φ = 20907672320.

The previous prime is 42004412123. The next prime is 42004412167. The reversal of 42004412144 is 44121440024.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4037189 + ... + 4047579.

Almost surely, 242004412144 is an apocalyptic number.

It is an amenable number.

42004412144 is a deficient number, since it is larger than the sum of its proper divisors (39746167984).

42004412144 is a wasteful number, since it uses less digits than its factorization.

42004412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 42004412144 its reverse (44121440024), we get a palindrome (86125852168).

The spelling of 42004412144 in words is "forty-two billion, four million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 317 634 797 1268 1594 2536 3188 5072 6376 10391 12752 20782 41564 83128 166256 252649 505298 1010596 2021192 3293947 4042384 6587894 8281627 13175788 16563254 26351576 33126508 52703152 66253016 132506032 2625275759 5250551518 10501103036 21002206072 42004412144