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42600466040 = 23511223434167
BaseRepresentation
bin100111101011001011…
…111000011001111000
311001221220021220021112
4213223023320121320
51144221204403130
631323111455452
73035451662306
oct475313703170
9131856256245
1042600466040
1117080941730
12830a987588
13402ba59672
1420c1ad1276
151194e5a495
hex9eb2f8678

42600466040 has 64 divisors (see below), whose sum is σ = 105033922560. Its totient is φ = 15421576320.

The previous prime is 42600466033. The next prime is 42600466043. The reversal of 42600466040 is 4066400624.

It is a junction number, because it is equal to n+sod(n) for n = 42600465988 and 42600466006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42600466043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118964 + ... + 315203.

It is an arithmetic number, because the mean of its divisors is an integer number (1641155040).

Almost surely, 242600466040 is an apocalyptic number.

42600466040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42600466040 is an abundant number, since it is smaller than the sum of its proper divisors (62433456520).

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

42600466040 is a wasteful number, since it uses less digits than its factorization.

42600466040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434412 (or 434408 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42600466040 its reverse (4066400624), we get a palindrome (46666866664).

The spelling of 42600466040 in words is "forty-two billion, six hundred million, four hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 223 440 446 892 1115 1784 2230 2453 4460 4906 8920 9812 12265 19624 24530 49060 98120 434167 868334 1736668 2170835 3473336 4341670 4775837 8683340 9551674 17366680 19103348 23879185 38206696 47758370 95516740 96819241 191033480 193638482 387276964 484096205 774553928 968192410 1065011651 1936384820 2130023302 3872769640 4260046604 5325058255 8520093208 10650116510 21300233020 42600466040