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430621256431140 = 2235431374131214641
BaseRepresentation
bin110000111101001011101001…
…1000001011011011000100100
32002110200222201202112111212120
41201322113103001123120210
5422420244313121244030
64123504401343345540
7156463234112013165
oct14172272301333044
92073628652474776
10430621256431140
111152334a3a89605
124036934b5b22b0
13156385443b3cb8
14784a273d7d76c
1534bb6a8e77010
hex187a5d305b624

430621256431140 has 96 divisors (see below), whose sum is σ = 1233789966304896. Its totient is φ = 112160907048960.

The previous prime is 430621256431133. The next prime is 430621256431151. The reversal of 430621256431140 is 41134652126034.

It is a junction number, because it is equal to n+sod(n) for n = 430621256431092 and 430621256431101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353918220 + ... + 355132860.

It is an arithmetic number, because the mean of its divisors is an integer number (12851978815676).

Almost surely, 2430621256431140 is an apocalyptic number.

It is an amenable number.

430621256431140 is an abundant number, since it is smaller than the sum of its proper divisors (803168709873756).

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

430621256431140 is a wasteful number, since it uses less digits than its factorization.

430621256431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352109 (or 1352107 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 430621256431140 in words is "four hundred thirty trillion, six hundred twenty-one billion, two hundred fifty-six million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 137413 274826 412239 549652 687065 824478 1214641 1374130 1648956 2061195 2429282 2748260 3643923 4122390 4858564 5908759 6073205 7287846 8244780 11817518 12146410 14575692 17726277 18219615 23635036 24292820 29543795 35452554 36439230 52229563 59087590 70905108 72878460 88631385 104459126 118175180 156688689 177262770 208918252 261147815 313377378 354525540 522295630 626754756 783443445 1044591260 1566886890 3133773780 166907463733 333814927466 500722391199 667629854932 834537318665 1001444782398 1669074637330 2002889564796 2503611955995 3338149274660 5007223911990 7177020940519 10014447823980 14354041881038 21531062821557 28708083762076 35885104702595 43062125643114 71770209405190 86124251286228 107655314107785 143540418810380 215310628215570 430621256431140