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40266151040 = 275173700933
BaseRepresentation
bin100101100000000011…
…001011010010000000
310211221012212102002102
4211200003023102000
51124431113313130
630255323205532
72623555431233
oct454003132200
9124835772072
1040266151040
1116093213285
1279790768a8
133a4925b49b
141d3da8d41a
1510aa05b645
hex9600cb480

40266151040 has 64 divisors (see below), whose sum is σ = 101923722360. Its totient is φ = 15159017472.

The previous prime is 40266151027. The next prime is 40266151049. The reversal of 40266151040 is 4015166204.

It can be written as a sum of positive squares in 4 ways, for example, as 40067228224 + 198922816 = 200168^2 + 14104^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40266150994 and 40266151012.

It is not an unprimeable number, because it can be changed into a prime (40266151049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1839587 + ... + 1861346.

Almost surely, 240266151040 is an apocalyptic number.

40266151040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40266151040 is an abundant number, since it is smaller than the sum of its proper divisors (61657571320).

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

40266151040 is a wasteful number, since it uses less digits than its factorization.

40266151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700969 (or 3700957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 40266151040 in words is "forty billion, two hundred sixty-six million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 3700933 7401866 14803732 18504665 29607464 37009330 59214928 62915861 74018660 118429856 125831722 148037320 236859712 251663444 296074640 314579305 473719424 503326888 592149280 629158610 1006653776 1184298560 1258317220 2013307552 2368597120 2516634440 4026615104 5033268880 8053230208 10066537760 20133075520 40266151040