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40315117108 = 2272299773121
BaseRepresentation
bin100101100010111101…
…111101111000110100
310212001122000010220111
4211202331331320310
51130031132221413
630304232512404
72625021561400
oct454275757064
9125048003814
1040315117108
1116108918202
12799154b704
133a564440a6
141d46398100
1510ae4ced3d
hex962f7de34

40315117108 has 72 divisors (see below), whose sum is σ = 85776493320. Its totient is φ = 16509911040.

The previous prime is 40315117091. The next prime is 40315117127. The reversal of 40315117108 is 80171151304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 581870884 + 39733246224 = 24122^2 + 199332^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40315117108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514788 + ... + 587908.

It is an arithmetic number, because the mean of its divisors is an integer number (1191340185).

Almost surely, 240315117108 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 40315117108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42888246660).

40315117108 is an abundant number, since it is smaller than the sum of its proper divisors (45461376212).

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

40315117108 is a wasteful number, since it uses less digits than its factorization.

40315117108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73265 (or 73256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The spelling of 40315117108 in words is "forty billion, three hundred fifteen million, one hundred seventeen thousand, one hundred eight".

Divisors: 1 2 4 7 14 28 29 49 58 97 98 116 194 196 203 388 406 679 812 1358 1421 2716 2813 2842 4753 5626 5684 9506 11252 19012 19691 39382 73121 78764 137837 146242 275674 292484 511847 551348 1023694 2047388 2120509 3582929 4241018 7092737 7165858 8482036 14185474 14331716 14843563 28370948 29687126 49649159 59374252 99298318 103904941 198596636 205689373 207809882 347544113 411378746 415619764 695088226 822757492 1390176452 1439825611 2879651222 5759302444 10078779277 20157558554 40315117108