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40235014542304 = 2517353427149057
BaseRepresentation
bin10010010010111111100011…
…01111111101001111100000
312021110102121100020202001001
421021133301233331033200
520233202302210323204
6221323413245321344
711321612111512321
oct1111376157751740
9167412540222031
1040235014542304
111190263486a13a
124619994b66254
13195b1b7b2c80a
149d15569b0448
1549b9121454a4
hex2497f1bfd3e0

40235014542304 has 96 divisors (see below), whose sum is σ = 84131261214336. Its totient is φ = 18875681341440.

The previous prime is 40235014542301. The next prime is 40235014542311. The reversal of 40235014542304 is 40324541053204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235014542301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820144144 + ... + 820193200.

It is an arithmetic number, because the mean of its divisors is an integer number (876367304316).

Almost surely, 240235014542304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40235014542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42065630607168).

40235014542304 is an abundant number, since it is smaller than the sum of its proper divisors (43896246672032).

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

40235014542304 is a wasteful number, since it uses less digits than its factorization.

40235014542304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53708 (or 53700 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 40235014542304 its reverse (40324541053204), we get a palindrome (80559555595508).

The spelling of 40235014542304 in words is "forty trillion, two hundred thirty-five billion, fourteen million, five hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 353 544 706 1412 2824 4271 5648 6001 8542 11296 12002 17084 24004 34168 48008 49057 68336 72607 96016 98114 136672 145214 192032 196228 290428 392456 580856 784912 833969 1161712 1507663 1569824 1667938 2323424 3015326 3335876 6030652 6671752 12061304 13343504 17317121 24122608 25630271 26687008 34634242 48245216 51260542 69268484 102521084 138536968 205042168 209522447 277073936 294391057 410084336 419044894 554147872 588782114 820168672 838089788 1177564228 1676179576 2355128456 3352359152 3561881599 4710256912 6704718304 7123763198 9420513824 14247526396 28495052792 56990105584 73961423791 113980211168 147922847582 295845695164 591691390328 1183382780656 1257344204447 2366765561312 2514688408894 5029376817788 10058753635576 20117507271152 40235014542304