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42044993969 = 11253101139467
BaseRepresentation
bin100111001010000100…
…111011000110110001
311000112012001222211212
4213022010323012301
51142102004301334
631152030045505
73015625360226
oct471204730661
9130465058755
1042044993969
1116916337300
128194949895
133c70951574
14206c01994d
1511612d5ece
hex9ca13b1b1

42044993969 has 48 divisors (see below), whose sum is σ = 47997593280. Its totient is φ = 36784176000.

The previous prime is 42044993897. The next prime is 42044994041. The reversal of 42044993969 is 96939944024.

It is an interprime number because it is at equal distance from previous prime (42044993897) and next prime (42044994041).

It is not a de Polignac number, because 42044993969 - 216 = 42044928433 is a prime.

It is a super-2 number, since 2×420449939692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42044993269) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 90031874 + ... + 90032340.

It is an arithmetic number, because the mean of its divisors is an integer number (999949860).

Almost surely, 242044993969 is an apocalyptic number.

It is an amenable number.

42044993969 is a deficient number, since it is larger than the sum of its proper divisors (5952599311).

42044993969 is a wasteful number, since it uses less digits than its factorization.

42044993969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 59.

The spelling of 42044993969 in words is "forty-two billion, forty-four million, nine hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 11 53 101 121 139 467 583 1111 1529 5137 5353 6413 7367 12221 14039 16819 24751 47167 56507 58883 64913 81037 154429 272261 518837 647713 714043 744067 891407 1698719 2499851 2994871 3440389 5707207 6556213 7854473 8184737 27498361 37844279 72118343 90032107 302481971 347479289 416287069 793301773 3822272179 42044993969