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2042251012144 = 247192827933937
BaseRepresentation
bin11101101101111111101…
…001010110100000110000
321020020101222120122121201
4131231333221112200300
5231430012224342034
64202110330500544
7300355612116340
oct35557751264060
97206358518551
102042251012144
11718128500642
1228b975894754
1311a777a99285
1470bb9db6d20
15381cc40b014
hex1db7fa56830

2042251012144 has 80 divisors (see below), whose sum is σ = 4760442534400. Its totient is φ = 829130867712.

The previous prime is 2042251012133. The next prime is 2042251012157. The reversal of 2042251012144 is 4412101522402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60160744 + ... + 60194680.

It is an arithmetic number, because the mean of its divisors is an integer number (59505531680).

Almost surely, 22042251012144 is an apocalyptic number.

It is an amenable number.

2042251012144 is an abundant number, since it is smaller than the sum of its proper divisors (2718191522256).

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

2042251012144 is a wasteful number, since it uses less digits than its factorization.

2042251012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62250 (or 62244 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 2042251012144 its reverse (4412101522402), we get a palindrome (6454352534546).

The spelling of 2042251012144 in words is "two trillion, forty-two billion, two hundred fifty-one million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 28279 33937 56558 67874 113116 135748 197953 226232 237559 271496 395906 452464 475118 537301 542992 644803 791812 950236 1074602 1289606 1583624 1900472 2149204 2579212 3167248 3761107 3800944 4298408 4513621 5158424 7522214 8596816 9027242 10316848 15044428 18054484 30088856 36108968 60177712 72217936 959704423 1919408846 3838817692 6717930961 7677635384 13435861922 15355270768 18234384037 26871723844 36468768074 53743447688 72937536148 107486895376 127640688259 145875072296 255281376518 291750144592 510562753036 1021125506072 2042251012144