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1431660042 = 23331863991
BaseRepresentation
bin101010101010101…
…0110011000001010
310200202220212101000
41111111112120022
510413001110132
6354021235430
750322623661
oct12525263012
93622825330
101431660042
1167515341a
1233b562b76
1319a7b5227
14d81d3dd8
1585a4a87c
hex5555660a

1431660042 has 64 divisors (see below), whose sum is σ = 3291217920. Its totient is φ = 460825200.

The previous prime is 1431660031. The next prime is 1431660059. The reversal of 1431660042 is 2400661341.

1431660042 is a `hidden beast` number, since 1 + 4 + 3 + 16 + 600 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1431659988 and 1431660015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444167 + ... + 1445157.

It is an arithmetic number, because the mean of its divisors is an integer number (51425280).

Almost surely, 21431660042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431660042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645608960).

1431660042 is an abundant number, since it is smaller than the sum of its proper divisors (1859557878).

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

1431660042 is a wasteful number, since it uses less digits than its factorization.

1431660042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1431660042 is about 37837.2837555763. The cubic root of 1431660042 is about 1127.0589565437.

The spelling of 1431660042 in words is "one billion, four hundred thirty-one million, six hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 863 991 1674 1726 1982 2589 2973 5178 5946 7767 8919 15534 17838 23301 26753 26757 30721 46602 53506 53514 61442 80259 92163 160518 184326 240777 276489 481554 552978 722331 829467 855233 1444662 1658934 1710466 2565699 5131398 7697097 15394194 23091291 26512223 46182582 53024446 79536669 159073338 238610007 477220014 715830021 1431660042