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4100030440 = 2351129321319
BaseRepresentation
bin1111010001100001…
…0111111111101000
3101120201221010102021
43310120113333220
531344101433230
61514501514224
7203413453342
oct36430277750
911521833367
104100030440
1118143a6610
12965112974
1350457601c
142ac752292
1518ee33c7a
hexf4617fe8

4100030440 has 64 divisors (see below), whose sum is σ = 10410768000. Its totient is φ = 1439504640.

The previous prime is 4100030423. The next prime is 4100030447. The reversal of 4100030440 is 440300014.

It is not an unprimeable number, because it can be changed into a prime (4100030447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147900 + ... + 173419.

It is an arithmetic number, because the mean of its divisors is an integer number (162668250).

Almost surely, 24100030440 is an apocalyptic number.

4100030440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100030440 is an abundant number, since it is smaller than the sum of its proper divisors (6310737560).

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

4100030440 is a wasteful number, since it uses less digits than its factorization.

4100030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321370 (or 321366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4100030440 is about 64031.4800703529. The cubic root of 4100030440 is about 1600.5246248367.

Adding to 4100030440 its reverse (440300014), we get a palindrome (4540330454).

The spelling of 4100030440 in words is "four billion, one hundred million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 321319 642638 1285276 1606595 2570552 3213190 3534509 6426380 7069018 9318251 12852760 14138036 17672545 18636502 28276072 35345090 37273004 46591255 70690180 74546008 93182510 102500761 141380360 186365020 205001522 372730040 410003044 512503805 820006088 1025007610 2050015220 4100030440