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40285174878 = 23413191397243
BaseRepresentation
bin100101100001001011…
…101111110001011110
310211222112122220220000
4211201023233301132
51130001001044003
630301243035130
72624206223304
oct454113576136
9124875586800
1040285174878
11160a2a27163
12798350baa6
133a5018c4b0
141d42402274
1510aba681a3
hex9612efc5e

40285174878 has 160 divisors (see below), whose sum is σ = 103079222400. Its totient is φ = 11656954944.

The previous prime is 40285174837. The next prime is 40285174879. The reversal of 40285174878 is 87847158204.

40285174878 is a `hidden beast` number, since 40 + 2 + 8 + 517 + 4 + 87 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40285174879) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5558325 + ... + 5565567.

It is an arithmetic number, because the mean of its divisors is an integer number (644245140).

Almost surely, 240285174878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40285174878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51539611200).

40285174878 is an abundant number, since it is smaller than the sum of its proper divisors (62794047522).

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

40285174878 is a wasteful number, since it uses less digits than its factorization.

40285174878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7419 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 40285174878 in words is "forty billion, two hundred eighty-five million, one hundred seventy-four thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 139 162 171 234 247 278 342 351 417 494 513 702 741 834 1026 1053 1251 1482 1539 1807 2106 2223 2502 2641 3078 3614 3753 4446 5282 5421 6669 7243 7506 7923 10842 11259 13338 14486 15846 16263 20007 21729 22518 23769 32526 34333 40014 43458 47538 48789 65187 68666 71307 94159 97578 102999 130374 137617 142614 146367 188318 195561 205998 213921 275234 282477 292734 308997 391122 412851 427842 564954 586683 617994 825702 847431 926991 1006777 1173366 1238553 1694862 1789021 1853982 2013554 2477106 2542293 2780973 3020331 3578042 3715659 5084586 5367063 5561946 6040662 7431318 7626879 9060993 10734126 11146977 13088101 15253758 16101189 18121986 19128763 22293954 26176202 27182979 32202378 38257526 39264303 48303567 54365958 57386289 78528606 81548937 96607134 114772578 117792909 144910701 163097874 172158867 235585818 248673919 289821402 344317734 353378727 497347838 516476601 706757454 746021757 1032953202 1060136181 1492043514 1549429803 2120272362 2238065271 3098859606 4476130542 6714195813 13428391626 20142587439 40285174878