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14242387770 = 23251315317951
BaseRepresentation
bin11010100001110100…
…11001011100111010
31100202120120021002100
431100322121130322
5213132022402040
610313131444230
71012640204262
oct152072313472
940676507070
1014242387770
116049502806
1229158b6676
13145c8b77b0
149917707a2
15585561b30
hex350e9973a

14242387770 has 96 divisors (see below), whose sum is σ = 39909752064. Its totient is φ = 3503088000.

The previous prime is 14242387723. The next prime is 14242387811. The reversal of 14242387770 is 7778324241.

14242387770 is a `hidden beast` number, since 142 + 423 + 87 + 7 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787295 + ... + 1795245.

It is an arithmetic number, because the mean of its divisors is an integer number (415726584).

Almost surely, 214242387770 is an apocalyptic number.

14242387770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14242387770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954876032).

14242387770 is an abundant number, since it is smaller than the sum of its proper divisors (25667364294).

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

14242387770 is a wasteful number, since it uses less digits than its factorization.

14242387770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9508 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 14242387770 in words is "fourteen billion, two hundred forty-two million, three hundred eighty-seven thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1531 3062 4593 7655 7951 9186 13779 15310 15902 19903 22965 23853 27558 39755 39806 45930 47706 59709 68895 71559 79510 99515 103363 119265 119418 137790 143118 179127 199030 206726 238530 298545 310089 357795 358254 516815 597090 620178 715590 895635 930267 1033630 1550445 1791270 1860534 3100890 4651335 9302670 12172981 24345962 36518943 60864905 73037886 109556829 121729810 158248753 182594715 219113658 316497506 365189430 474746259 547784145 791243765 949492518 1095568290 1424238777 1582487530 2373731295 2848477554 4747462590 7121193885 14242387770