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40130443100 = 2252111713191627
BaseRepresentation
bin100101010111111101…
…011111011101011100
310211120202111201210102
4211113331133131130
51124141343134400
630234034400232
72620320065246
oct452775373534
9124522451712
1040130443100
1116023652960
12793b730078
133a270c4927
141d29a45096
15109d1a19d5
hex957f5f75c

40130443100 has 144 divisors (see below), whose sum is σ = 100726053120. Its totient is φ = 13715635200.

The previous prime is 40130443097. The next prime is 40130443103. The reversal of 40130443100 is 134403104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40130443097) and next prime (40130443103).

It is a super-2 number, since 2×401304431002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130443103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24664487 + ... + 24666113.

It is an arithmetic number, because the mean of its divisors is an integer number (699486480).

Almost surely, 240130443100 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 40130443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50363026560).

40130443100 is an abundant number, since it is smaller than the sum of its proper divisors (60595610020).

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

40130443100 is a wasteful number, since it uses less digits than its factorization.

40130443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 40130443100 its reverse (134403104), we get a palindrome (40264846204).

The spelling of 40130443100 in words is "forty billion, one hundred thirty million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1319 1627 1700 1870 2638 3254 3740 4675 5276 6508 6595 8135 9350 13190 14509 16270 17897 18700 22423 26380 27659 29018 32540 32975 35794 40675 44846 55318 58036 65950 71588 72545 81350 89485 89692 110636 112115 131900 138295 145090 162700 178970 224230 246653 276590 290180 304249 357940 362725 447425 448460 493306 553180 560575 608498 691475 725450 894850 986612 1121150 1216996 1233265 1382950 1450900 1521245 1789700 2146013 2242300 2466530 2765900 3042490 4292026 4933060 6084980 6166325 7606225 8584052 10730065 12332650 15212450 21460130 23606143 24665300 30424900 36482221 42920260 47212286 53650325 72964442 94424572 107300650 118030715 145928884 182411105 214601300 236061430 364822210 401304431 472122860 590153575 729644420 802608862 912055525 1180307150 1605217724 1824111050 2006522155 2360614300 3648222100 4013044310 8026088620 10032610775 20065221550 40130443100