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100404324432 = 24321936697487
BaseRepresentation
bin101110110000010010…
…0000110100001010000
3100121011100110011002200
41131200210012201100
53121112001340212
6114043005043200
710153053450636
oct1354044064120
9317140404080
10100404324432
1139643695025
1217561256500
139611506479
144c06a2d356
1529299a46dc
hex1760906850

100404324432 has 60 divisors (see below), whose sum is σ = 295781753280. Its totient is φ = 31706627904.

The previous prime is 100404324431. The next prime is 100404324443. The reversal of 100404324432 is 234423404001.

It is a happy number.

100404324432 is a `hidden beast` number, since 10 + 0 + 404 + 3 + 244 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100404324396 and 100404324405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404324431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18346008 + ... + 18351479.

It is an arithmetic number, because the mean of its divisors is an integer number (4929695888).

Almost surely, 2100404324432 is an apocalyptic number.

100404324432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100404324432 is an abundant number, since it is smaller than the sum of its proper divisors (195377428848).

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

100404324432 is a wasteful number, since it uses less digits than its factorization.

100404324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36697520 (or 36697511 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 100404324432 its reverse (234423404001), we get a palindrome (334827728433).

The spelling of 100404324432 in words is "one hundred billion, four hundred four million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 36697487 73394974 110092461 146789948 220184922 293579896 330277383 440369844 587159792 660554766 697252253 880739688 1321109532 1394504506 1761479376 2091756759 2642219064 2789009012 4183513518 5284438128 5578018024 6275270277 8367027036 11156036048 12550540554 16734054072 25101081108 33468108144 50202162216 100404324432