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35421050400030 = 232514913032027161
BaseRepresentation
bin10000000110111000110110…
…01000000110110100011110
311122102012220220102101002200
420003130123020012310132
514120314302400300110
6203200112251032330
710314041435452131
oct1003343310066436
9148365826371080
1035421050400030
1110316a8a587029
123b80a0613b6a6
13169c263021b49
148a65608c8218
154165b1e996c0
hex20371b206d1e

35421050400030 has 96 divisors (see below), whose sum is σ = 92784015604800. Its totient is φ = 9375014960640.

The previous prime is 35421050399939. The next prime is 35421050400049. The reversal of 35421050400030 is 3000405012453.

35421050400030 is a `hidden beast` number, since 3 + 542 + 1 + 0 + 50 + 40 + 0 + 0 + 30 = 666.

It is a super-3 number, since 3×354210504000303 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 35421050399967 and 35421050400003.

It is a congruent number.

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, 16459650 + ... + 18486810.

It is an arithmetic number, because the mean of its divisors is an integer number (966500162550).

Almost surely, 235421050400030 is an apocalyptic number.

35421050400030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35421050400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46392007802400).

35421050400030 is an abundant number, since it is smaller than the sum of its proper divisors (57362965204770).

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

35421050400030 is a wasteful number, since it uses less digits than its factorization.

35421050400030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028626 (or 2028623 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 35421050400030 its reverse (3000405012453), we get a palindrome (38421455412483).

The spelling of 35421050400030 in words is "thirty-five trillion, four hundred twenty-one billion, fifty million, four hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1303 1341 1490 2235 2606 2682 3909 4470 6515 6705 7818 11727 13030 13410 19545 23454 39090 58635 117270 194147 388294 582441 970735 1164882 1747323 1941470 2027161 2912205 3494646 4054322 5824410 6081483 8736615 10135805 12162966 17473230 18244449 20271610 30407415 36488898 60814830 91222245 182444490 302046989 604093978 906140967 1510234945 1812281934 2641390783 2718422901 3020469890 4530704835 5282781566 5436845802 7924172349 9061409670 13206953915 13592114505 15848344698 23772517047 26413907830 27184229010 39620861745 47545034094 79241723490 118862585235 237725170470 393567226667 787134453334 1180701680001 1967836133335 2361403360002 3542105040003 3935672266670 5903508400005 7084210080006 11807016800010 17710525200015 35421050400030