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42457075424 = 251579838597
BaseRepresentation
bin100111100010101000…
…111000111011100000
311001120220110220022222
4213202220320323200
51143423002403144
631300550250212
73032061121001
oct474250707340
9131526426288
1042457075424
1117007a04195
12828a956968
134008132c4a
1420aaa471a8
1511875842ee
hex9e2a38ee0

42457075424 has 48 divisors (see below), whose sum is σ = 84215140128. Its totient is φ = 21069414912.

The previous prime is 42457075417. The next prime is 42457075477.

42457075424 is nontrivially palindromic in base 10.

It is a congruent number.

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, 4934294 + ... + 4942890.

It is an arithmetic number, because the mean of its divisors is an integer number (1754482086).

Almost surely, 242457075424 is an apocalyptic number.

It is an amenable number.

42457075424 is a deficient number, since it is larger than the sum of its proper divisors (41758064704).

42457075424 is a wasteful number, since it uses less digits than its factorization.

42457075424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 44.

It can be divided in two parts, 424570 and 75424, that added together give a palindrome (499994).

The spelling of 42457075424 in words is "forty-two billion, four hundred fifty-seven million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 157 314 628 983 1256 1966 2512 3932 5024 7864 8597 15728 17194 31456 34388 68776 137552 154331 275104 308662 617324 1234648 1349729 2469296 2699458 4938592 5398916 8450851 10797832 16901702 21595664 33803404 43191328 67606808 135213616 270427232 1326783607 2653567214 5307134428 10614268856 21228537712 42457075424