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42307393744 = 2471134340417
BaseRepresentation
bin100111011001101101…
…111001100011010000
311001012110211021200001
4213121231321203100
51143121143044434
631234042135344
73025262625160
oct473155714320
9131173737601
1042307393744
1116a4046a120
1282487b1554
133cb3115bc5
142094c025a0
151179369114
hex9d9b798d0

42307393744 has 40 divisors (see below), whose sum is σ = 102197083968. Its totient is φ = 16483399680.

The previous prime is 42307393699. The next prime is 42307393759. The reversal of 42307393744 is 44739370324.

It is a junction number, because it is equal to n+sod(n) for n = 42307393694 and 42307393703.

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, 17168977 + ... + 17171440.

Almost surely, 242307393744 is an apocalyptic number.

42307393744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42307393744 is an abundant number, since it is smaller than the sum of its proper divisors (59889690224).

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

42307393744 is a wasteful number, since it uses less digits than its factorization.

42307393744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34340443 (or 34340437 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 46.

The spelling of 42307393744 in words is "forty-two billion, three hundred seven million, three hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 34340417 68680834 137361668 240382919 274723336 377744587 480765838 549446672 755489174 961531676 1510978348 1923063352 2644212109 3021956696 3846126704 5288424218 6043913392 10576848436 21153696872 42307393744