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40104144100 = 22521771332263
BaseRepresentation
bin100101010110011001…
…001010110011100100
310211111221000121100101
4211112121022303210
51124113130102400
630231254553444
72616550412626
oct452631126344
9124457017311
1040104144100
111600a820049
127932968884
133a218173a7
141d2635ac16
15109ac0956a
hex95664ace4

40104144100 has 72 divisors (see below), whose sum is σ = 93443269248. Its totient is φ = 14885337600.

The previous prime is 40104144023. The next prime is 40104144107. The reversal of 40104144100 is 144140104.

It is not an unprimeable number, because it can be changed into a prime (40104144107) by changing a digit.

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, 45432 + ... + 286831.

It is an arithmetic number, because the mean of its divisors is an integer number (1297823184).

Almost surely, 240104144100 is an apocalyptic number.

It is an amenable number.

40104144100 is an abundant number, since it is smaller than the sum of its proper divisors (53339125148).

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

40104144100 is a wasteful number, since it uses less digits than its factorization.

40104144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332365 (or 332358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 40104144100 its reverse (144140104), we get a palindrome (40248284204).

The spelling of 40104144100 in words is "forty billion, one hundred four million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 71 85 100 142 170 284 340 355 425 710 850 1207 1420 1700 1775 2414 3550 4828 6035 7100 12070 24140 30175 60350 120700 332263 664526 1329052 1661315 3322630 5648471 6645260 8306575 11296942 16613150 22593884 23590673 28242355 33226300 47181346 56484710 94362692 112969420 117953365 141211775 235906730 282423550 401041441 471813460 564847100 589766825 802082882 1179533650 1604165764 2005207205 2359067300 4010414410 8020828820 10026036025 20052072050 40104144100