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354423117708 = 2232115319984859
BaseRepresentation
bin1010010100001010100…
…00111001011110001100
31020212211100121212012100
411022011100321132030
521301324304231313
6430453021235100
734414635536112
oct5120520713614
91225740555170
10354423117708
11127345679130
1258833702a90
1327564066b3a
1413223087ab2
159345507173
hex528543978c

354423117708 has 144 divisors (see below), whose sum is σ = 1000804896000. Its totient is φ = 104843756160.

The previous prime is 354423117691. The next prime is 354423117749. The reversal of 354423117708 is 807711324453.

354423117708 is a `hidden beast` number, since 3 + 5 + 442 + 31 + 177 + 0 + 8 = 666.

It is an unprimeable number.

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, 4134183 + ... + 4219041.

It is an arithmetic number, because the mean of its divisors is an integer number (6950034000).

Almost surely, 2354423117708 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354423117708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500402448000).

354423117708 is an abundant number, since it is smaller than the sum of its proper divisors (646381778292).

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

354423117708 is a wasteful number, since it uses less digits than its factorization.

354423117708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85132 (or 85127 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 354423117708 in words is "three hundred fifty-four billion, four hundred twenty-three million, one hundred seventeen thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 199 212 318 396 398 477 583 597 636 796 954 1166 1194 1749 1791 1908 2189 2332 2388 3498 3582 4378 5247 6567 6996 7164 8756 10494 10547 13134 19701 20988 21094 26268 31641 39402 42188 63282 78804 84859 94923 116017 126564 169718 189846 232034 254577 339436 348051 379692 464068 509154 696102 763731 933449 1018308 1044153 1392204 1527462 1866898 2088306 2800347 3054924 3733796 4176612 4497527 5600694 8401041 8995054 11201388 13492581 16802082 16886941 17990108 26985162 33604164 33773882 40477743 49472797 50660823 53970324 67547764 80955486 98945594 101321646 148418391 151982469 161910972 185756351 197891188 202643292 296836782 303964938 371512702 445255173 557269053 593673564 607929876 743025404 890510346 895007873 1114538106 1671807159 1781020692 1790015746 2229076212 2685023619 3343614318 3580031492 5370047238 6687228636 8055070857 9845086603 10740094476 16110141714 19690173206 29535259809 32220283428 39380346412 59070519618 88605779427 118141039236 177211558854 354423117708