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100341440040 = 23356113707847
BaseRepresentation
bin101110101110011010…
…0001101111000101000
3100120222222010021221010
41131130310031320220
53120444402040130
6114032441143520
710151361111342
oct1353464157050
9316888107833
10100341440040
1139611144056
121754418aba0
13960148967a
144bdc540292
1529241d20b0
hex175cd0de28

100341440040 has 64 divisors (see below), whose sum is σ = 305959167360. Its totient is φ = 26319064320.

The previous prime is 100341440029. The next prime is 100341440047. The reversal of 100341440040 is 40044143001.

It is a junction number, because it is equal to n+sod(n) for n = 100341439989 and 100341440016.

It is not an unprimeable number, because it can be changed into a prime (100341440047) 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, 6846604 + ... + 6861243.

It is an arithmetic number, because the mean of its divisors is an integer number (4780611990).

Almost surely, 2100341440040 is an apocalyptic number.

100341440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100341440040 is an abundant number, since it is smaller than the sum of its proper divisors (205617727320).

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

100341440040 is a wasteful number, since it uses less digits than its factorization.

100341440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707922 (or 13707918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100341440040 its reverse (40044143001), we get a palindrome (140385583041).

The spelling of 100341440040 in words is "one hundred billion, three hundred forty-one million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 13707847 27415694 41123541 54831388 68539235 82247082 109662776 137078470 164494164 205617705 274156940 328988328 411235410 548313880 822470820 836178667 1644941640 1672357334 2508536001 3344714668 4180893335 5017072002 6689429336 8361786670 10034144004 12542680005 16723573340 20068288008 25085360010 33447146680 50170720020 100341440040