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2040264327456 = 2532192316211101
BaseRepresentation
bin11101101100001001001…
…110110000000100100000
321020001021112021121120100
4131230021032300010200
5231411430131434311
64201141241142400
7300255436432605
oct35541116600440
97201245247510
102040264327456
117172a9028a73
1228b50048aa00
1311a51c3047c4
1470a6c1c66ac
1538112cc8a56
hex1db093b0120

2040264327456 has 144 divisors (see below), whose sum is σ = 6372908418240. Its totient is φ = 616281177600.

The previous prime is 2040264327401. The next prime is 2040264327463. The reversal of 2040264327456 is 6547234620402.

2040264327456 is a `hidden beast` number, since 20 + 4 + 0 + 264 + 327 + 45 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7979695 + ... + 8231406.

It is an arithmetic number, because the mean of its divisors is an integer number (44256308460).

Almost surely, 22040264327456 is an apocalyptic number.

It is an amenable number.

2040264327456 is an abundant number, since it is smaller than the sum of its proper divisors (4332644090784).

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

2040264327456 is a wasteful number, since it uses less digits than its factorization.

2040264327456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16211159 (or 16211148 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 2040264327456 its reverse (6547234620402), we get a palindrome (8587498947858).

The spelling of 2040264327456 in words is "two trillion, forty billion, two hundred sixty-four million, three hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 456 552 608 684 736 828 874 912 1104 1311 1368 1656 1748 1824 2208 2622 2736 3312 3496 3933 5244 5472 6624 6992 7866 10488 13984 15732 20976 31464 41952 62928 125856 16211101 32422202 48633303 64844404 97266606 129688808 145899909 194533212 259377616 291799818 308010919 372855323 389066424 518755232 583599636 616021838 745710646 778132848 924032757 1118565969 1167199272 1232043676 1491421292 1556265696 1848065514 2237131938 2334398544 2464087352 2772098271 2982842584 3355697907 3696131028 4474263876 4668797088 4928174704 5544196542 5965685168 6711395814 7084251137 7392262056 8948527752 9856349408 11088393084 11931370336 13422791628 14168502274 14784524112 17897055504 21252753411 22176786168 26845583256 28337004548 29569048224 35794111008 42505506822 44353572336 53691166512 56674009096 63758260233 85011013644 88707144672 107382333024 113348018192 127516520466 170022027288 226696036384 255033040932 340044054576 510066081864 680088109152 1020132163728 2040264327456