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40855949120 = 265722605609
BaseRepresentation
bin100110000011001101…
…000100111101000000
310220110022200020221202
4212003031010331000
51132133110332440
630434032440332
72644306560200
oct460315047500
9126408606852
1040855949120
1116366133308
127b026a90a8
133b114c462c
141d9813c400
1510e1c11615
hex983344f40

40855949120 has 84 divisors (see below), whose sum is σ = 113172064740. Its totient is φ = 14007748608.

The previous prime is 40855949107. The next prime is 40855949129. The reversal of 40855949120 is 2194955804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28943536384 + 11912412736 = 170128^2 + 109144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40855949129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1287125 + ... + 1318484.

It is an arithmetic number, because the mean of its divisors is an integer number (1347286485).

Almost surely, 240855949120 is an apocalyptic number.

40855949120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40855949120 is an abundant number, since it is smaller than the sum of its proper divisors (72316115620).

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

40855949120 is a wasteful number, since it uses less digits than its factorization.

40855949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605640 (or 2605623 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 40855949120 in words is "forty billion, eight hundred fifty-five million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 2605609 5211218 10422436 13028045 18239263 20844872 26056090 36478526 41689744 52112180 72957052 83379488 91196315 104224360 127674841 145914104 166758976 182392630 208448720 255349682 291828208 364785260 416897440 510699364 583656416 638374205 729570520 833794880 1021398728 1167312832 1276748410 1459141040 2042797456 2553496820 2918282080 4085594912 5106993640 5836564160 8171189824 10213987280 20427974560 40855949120