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445048900240 = 24573547224057
BaseRepresentation
bin1100111100111101111…
…10110100101010010000
31120112202020000121120111
412132132332310222100
524242430004301430
6540241434251104
744103504143410
oct6363676645220
91515666017514
10445048900240
1116182055796a
1272305b86a94
1332c77711129
141777d120640
15b89b795c2a
hex679efb4a90

445048900240 has 80 divisors (see below), whose sum is σ = 1182897182592. Its totient is φ = 152544494592.

The previous prime is 445048900217. The next prime is 445048900273. The reversal of 445048900240 is 42009840544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 445048900193 and 445048900202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1874292 + ... + 2098348.

Almost surely, 2445048900240 is an apocalyptic number.

445048900240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445048900240 is an abundant number, since it is smaller than the sum of its proper divisors (737848282352).

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

445048900240 is a wasteful number, since it uses less digits than its factorization.

445048900240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227624 (or 227618 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 445048900240 in words is "four hundred forty-five billion, forty-eight million, nine hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3547 7094 14188 17735 24829 28376 35470 49658 56752 70940 99316 124145 141880 198632 224057 248290 283760 397264 448114 496580 896228 993160 1120285 1568399 1792456 1986320 2240570 3136798 3584912 4481140 6273596 7841995 8962280 12547192 15683990 17924560 25094384 31367980 62735960 125471920 794730179 1589460358 3178920716 3973650895 5563111253 6357841432 7947301790 11126222506 12715682864 15894603580 22252445012 27815556265 31789207160 44504890024 55631112530 63578414320 89009780048 111262225060 222524450120 445048900240