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40075026012 = 22327673236297
BaseRepresentation
bin100101010100101010…
…000101111001011100
310211102220020020211200
4211110222011321130
51124033201313022
630224334515500
72616045046350
oct452452057134
9124386206750
1040075026012
1115aa534220a
127925065b90
133a18790958
141d2253b460
1510983a6bac
hex954a85e5c

40075026012 has 72 divisors (see below), whose sum is σ = 115944812256. Its totient is φ = 11432945664.

The previous prime is 40075025989. The next prime is 40075026053. The reversal of 40075026012 is 21062057004.

40075026012 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 50 + 2 + 601 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51448 + ... + 287744.

Almost surely, 240075026012 is an apocalyptic number.

40075026012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40075026012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57972406128).

40075026012 is an abundant number, since it is smaller than the sum of its proper divisors (75869786244).

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

40075026012 is a wasteful number, since it uses less digits than its factorization.

40075026012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236987 (or 236982 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40075026012 in words is "forty billion, seventy-five million, twenty-six thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 673 1346 2019 2692 4038 4711 6057 8076 9422 12114 14133 18844 24228 28266 42399 56532 84798 169596 236297 472594 708891 945188 1417782 1654079 2126673 2835564 3308158 4253346 4962237 6616316 8506692 9924474 14886711 19848948 29773422 59546844 159027881 318055762 477083643 636111524 954167286 1113195167 1431250929 1908334572 2226390334 2862501858 3339585501 4452780668 5725003716 6679171002 10018756503 13358342004 20037513006 40075026012