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40534435424 = 2572103419599
BaseRepresentation
bin100101110000000010…
…100110011001100000
310212121220200200002002
4211300002212121200
51131003303413144
630342105343132
72633324005400
oct456002463140
9125556620062
1040534435424
11162106a530a
127a32a97aa8
133a8ca03442
141d67568800
1510c38a314e
hex9700a6660

40534435424 has 144 divisors (see below), whose sum is σ = 94112928000. Its totient is φ = 17133532416.

The previous prime is 40534435399. The next prime is 40534435429. The reversal of 40534435424 is 42453443504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40534435429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67669877 + ... + 67670475.

It is an arithmetic number, because the mean of its divisors is an integer number (653562000).

Almost surely, 240534435424 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 40534435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464000).

40534435424 is an abundant number, since it is smaller than the sum of its proper divisors (53578492576).

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

40534435424 is a wasteful number, since it uses less digits than its factorization.

40534435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 40534435424 its reverse (42453443504), we get a palindrome (82987878928).

The spelling of 40534435424 in words is "forty billion, five hundred thirty-four million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 103 112 196 206 224 392 412 419 599 721 784 824 838 1198 1442 1568 1648 1676 2396 2884 2933 3296 3352 4193 4792 5047 5768 5866 6704 8386 9584 10094 11536 11732 13408 16772 19168 20188 20531 23072 23464 29351 33544 40376 41062 43157 46928 58702 61697 67088 80752 82124 86314 93856 117404 123394 134176 161504 164248 172628 234808 246788 250981 302099 328496 345256 431879 469616 493576 501962 604198 656992 690512 863758 939232 987152 1003924 1208396 1381024 1727516 1756867 1974304 2007848 2114693 2416792 3023153 3455032 3513734 4015696 4229386 4833584 6046306 6910064 7027468 8031392 8458772 9667168 12092612 12298069 13820128 14054936 16917544 24185224 24596138 25851043 28109872 33835088 48370448 49192276 51702086 56219744 67670176 96740896 98384552 103404172 180957301 196769104 206808344 361914602 393538208 413616688 723829204 827233376 1266701107 1447658408 2533402214 2895316816 5066804428 5790633632 10133608856 20267217712 40534435424