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45041311040 = 2651121163257
BaseRepresentation
bin101001111100101010…
…111101110101000000
311022021000011200011012
4221330222331311000
51214221033423130
632405223340052
73153110553425
oct517452756500
9138230150135
1045041311040
1118113711700
1288902b1628
13432a64664b
142273d43d4c
15128939d995
hexa7cabdd40

45041311040 has 84 divisors (see below), whose sum is σ = 117891545268. Its totient is φ = 16378644480.

The previous prime is 45041311031. The next prime is 45041311043. The reversal of 45041311040 is 4011314054.

It can be written as a sum of positive squares in 2 ways, for example, as 17261755456 + 27779555584 = 131384^2 + 166672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45041310997 and 45041311015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45041311043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 542909 + ... + 620348.

It is an arithmetic number, because the mean of its divisors is an integer number (1403470777).

Almost surely, 245041311040 is an apocalyptic number.

45041311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45041311040 is an abundant number, since it is smaller than the sum of its proper divisors (72850234228).

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

45041311040 is a wasteful number, since it uses less digits than its factorization.

45041311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163296 (or 1163275 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 45041311040 its reverse (4011314054), we get a palindrome (49052625094).

The spelling of 45041311040 in words is "forty-five billion, forty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 1163257 2326514 4653028 5816285 9306056 11632570 12795827 18612112 23265140 25591654 37224224 46530280 51183308 63979135 74448448 93060560 102366616 127958270 140754097 186121120 204733232 255916540 281508194 372242240 409466464 511833080 563016388 703770485 818932928 1023666160 1126032776 1407540970 2047332320 2252065552 2815081940 4094664640 4504131104 5630163880 9008262208 11260327760 22520655520 45041311040