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42475355280 = 24325431371943
BaseRepresentation
bin100111100011101110…
…100111110010010000
311001122011212121120200
4213203232213302100
51143442142332110
631302442135200
73032402364021
oct474356476220
9131564777520
1042475355280
111701725a106
128294ab1500
13400bb63427
1420ad244c48
151188e956c0
hex9e3ba7c90

42475355280 has 120 divisors (see below), whose sum is σ = 145963866048. Its totient is φ = 11063340288.

The previous prime is 42475355249. The next prime is 42475355369. The reversal of 42475355280 is 8255357424.

42475355280 is a `hidden beast` number, since 4 + 2 + 47 + 53 + 552 + 8 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 655012 + ... + 716931.

Almost surely, 242475355280 is an apocalyptic number.

42475355280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42475355280 is an abundant number, since it is smaller than the sum of its proper divisors (103488510768).

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

42475355280 is a wasteful number, since it uses less digits than its factorization.

42475355280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372005 (or 1371996 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 42475355280 in words is "forty-two billion, four hundred seventy-five million, three hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 1371943 2743886 4115829 5487772 6859715 8231658 10975544 12347487 13719430 16463316 20579145 21951088 24694974 27438860 32926632 41158290 49389948 54877720 58993549 61737435 65853264 82316580 98779896 109755440 117987098 123474870 164633160 176980647 197559792 235974196 246949740 294967745 329266320 353961294 471948392 493899480 530941941 589935490 707922588 884903235 943896784 987798960 1061883882 1179870980 1415845176 1769806470 2123767764 2359741960 2654709705 2831690352 3539612940 4247535528 4719483920 5309419410 7079225880 8495071056 10618838820 14158451760 21237677640 42475355280