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420350052240 = 243251930727343
BaseRepresentation
bin1100001110111101101…
…00001100011110010000
31111011222220210010122100
412013132310030132100
523341334103132430
6521034532240400
742240444330246
oct6073664143620
91434886703570
10420350052240
111522a6711898
1269572470100
133083c6b9b81
14164b8b6a796
15ae0325d960
hex61ded0c790

420350052240 has 120 divisors (see below), whose sum is σ = 1485974355840. Its totient is φ = 106193693952.

The previous prime is 420350052229. The next prime is 420350052257. The reversal of 420350052240 is 42250053024.

It is a happy number.

420350052240 is a `hidden beast` number, since 4 + 20 + 350 + 0 + 52 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15349992 + ... + 15377351.

It is an arithmetic number, because the mean of its divisors is an integer number (12383119632).

Almost surely, 2420350052240 is an apocalyptic number.

420350052240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420350052240 is an abundant number, since it is smaller than the sum of its proper divisors (1065624303600).

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

420350052240 is a wasteful number, since it uses less digits than its factorization.

420350052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30727381 (or 30727372 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 420350052240 in words is "four hundred twenty billion, three hundred fifty million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 30727343 61454686 92182029 122909372 153636715 184364058 245818744 276546087 307273430 368728116 460910145 491637488 553092174 583819517 614546860 737456232 921820290 1106184348 1167639034 1229093720 1382730435 1474912464 1751458551 1843640580 2212368696 2335278068 2458187440 2765460870 2919097585 3502917102 3687281160 4424737392 4670556136 5254375653 5530921740 5838195170 7005834204 7374562320 8757292755 9341112272 10508751306 11061843480 11676390340 14011668408 17514585510 21017502612 22123686960 23352780680 26271878265 28023336816 35029171020 42035005224 46705561360 52543756530 70058342040 84070010448 105087513060 140116684080 210175026120 420350052240