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42300557280 = 25325191546073
BaseRepresentation
bin100111011001010011…
…110100011111100000
311001011222221221210200
4213121103310133200
51143112420313110
631233235425200
73025150542612
oct473123643740
9131158857720
1042300557280
1116a3761a853
128246455200
133cb1891267
142093d42db2
1511789686c0
hex9d94f47e0

42300557280 has 144 divisors (see below), whose sum is σ = 151948152720. Its totient is φ = 10686449664.

The previous prime is 42300557237. The next prime is 42300557311. The reversal of 42300557280 is 8275500324.

42300557280 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 0 + 5 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 745677 + ... + 800396.

It is an arithmetic number, because the mean of its divisors is an integer number (1055195505).

Almost surely, 242300557280 is an apocalyptic number.

42300557280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42300557280 is an abundant number, since it is smaller than the sum of its proper divisors (109647595440).

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

42300557280 is a wasteful number, since it uses less digits than its factorization.

42300557280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546113 (or 1546102 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 42300557280 in words is "forty-two billion, three hundred million, five hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 1546073 3092146 4638219 6184292 7730365 9276438 12368584 13914657 15460730 18552876 23191095 24737168 27829314 29375387 30921460 37105752 46382190 49474336 55658628 58750774 61842920 69573285 74211504 88126161 92764380 111317256 117501548 123685840 139146570 146876935 148423008 176252322 185528760 222634512 235003096 247371680 264378483 278293140 293753870 352504644 371057520 440630805 445269024 470006192 528756966 556586280 587507740 705009288 742115040 881261610 940012384 1057513932 1113172560 1175015480 1321892415 1410018576 1762523220 2115027864 2226345120 2350030960 2643784830 2820037152 3525046440 4230055728 4700061920 5287569660 7050092880 8460111456 10575139320 14100185760 21150278640 42300557280