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40535453504 = 2671320113461
BaseRepresentation
bin100101110000000110…
…011110111101000000
310212121222121101121202
4211300012132331000
51131004034003004
630342143240332
72633335445510
oct456006367500
9125558541552
1040535453504
11162112301a7
127a332a90a8
133a8cc9b960
141d67751840
1510c3a04b1e
hex97019ef40

40535453504 has 112 divisors (see below), whose sum is σ = 99077897856. Its totient is φ = 16023398400.

The previous prime is 40535453501. The next prime is 40535453513.

40535453504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40535453501) 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, 11710334 + ... + 11713794.

It is an arithmetic number, because the mean of its divisors is an integer number (884624088).

Almost surely, 240535453504 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 40535453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49538948928).

40535453504 is an abundant number, since it is smaller than the sum of its proper divisors (58542444352).

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

40535453504 is a wasteful number, since it uses less digits than its factorization.

40535453504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

The spelling of 40535453504 in words is "forty billion, five hundred thirty-five million, four hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2011 2912 3461 4022 5824 6922 8044 13844 14077 16088 24227 26143 27688 28154 32176 44993 48454 52286 55376 56308 64352 89986 96908 104572 110752 112616 128704 179972 183001 193816 209144 221504 225232 314951 359944 366002 387632 418288 450464 629902 719888 732004 775264 836576 900928 1259804 1439776 1464008 1550528 1673152 2519608 2879552 2928016 5039216 5856032 6960071 10078432 11712064 13920142 20156864 27840284 48720497 55680568 90480923 97440994 111361136 180961846 194881988 222722272 361923692 389763976 445444544 633366461 723847384 779527952 1266732922 1447694768 1559055904 2533465844 2895389536 3118111808 5066931688 5790779072 10133863376 20267726752 40535453504