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4030144331100 = 22352191211333337
BaseRepresentation
bin111010101001010111010…
…100100011110101011100
3112021021111200120101100120
4322221113110203311130
51012012213422043400
612323231151354540
7564111506411256
oct72512724436534
915237450511316
104030144331100
1113141a14557a8
1255109b222a50
1323306c056344
14dd0ba9d8cd6
156ec775e3ca0
hex3aa57523d5c

4030144331100 has 144 divisors (see below), whose sum is σ = 11777188878336. Its totient is φ = 1064008512000.

The previous prime is 4030144331063. The next prime is 4030144331113. The reversal of 4030144331100 is 11334410304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11923632 + ... + 12256968.

Almost surely, 24030144331100 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 4030144331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888594439168).

4030144331100 is an abundant number, since it is smaller than the sum of its proper divisors (7747044547236).

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

4030144331100 is a wasteful number, since it uses less digits than its factorization.

4030144331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333756 (or 333749 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4030144331100 its reverse (11334410304), we get a palindrome (4041478741404).

The spelling of 4030144331100 in words is "four trillion, thirty billion, one hundred forty-four million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 211 300 382 422 573 633 764 844 955 1055 1146 1266 1910 2110 2292 2532 2865 3165 3820 4220 4775 5275 5730 6330 9550 10550 11460 12660 14325 15825 19100 21100 28650 31650 40301 57300 63300 80602 120903 161204 201505 241806 333337 403010 483612 604515 666674 806020 1000011 1007525 1209030 1333348 1666685 2000022 2015050 2418060 3022575 3333370 4000044 4030100 5000055 6045150 6666740 8333425 10000110 12090300 16666850 20000220 25000275 33333700 50000550 63667367 70334107 100001100 127334734 140668214 191002101 211002321 254669468 281336428 318336835 351670535 382004202 422004642 636673670 703341070 764008404 844009284 955010505 1055011605 1273347340 1406682140 1591684175 1758352675 1910021010 2110023210 3183368350 3516705350 3820042020 4220046420 4775052525 5275058025 6366736700 7033410700 9550105050 10550116050 13433814437 19100210100 21100232100 26867628874 40301443311 53735257748 67169072185 80602886622 134338144370 161205773244 201507216555 268676288740 335845360925 403014433110 671690721850 806028866220 1007536082775 1343381443700 2015072165550 4030144331100