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404233350030 = 232561252129207
BaseRepresentation
bin1011110000111100010…
…11110110101110001110
31102122101201100211111200
411320132023312232032
523110332214200110
6505411403330330
741130164532246
oct5703613665616
91378351324450
10404233350030
11146486207994
1266414b209a6
132c1716c2aa3
14157ca4dab26
15a7ad3b46c0
hex5e1e2f6b8e

404233350030 has 96 divisors (see below), whose sum is σ = 1068696652608. Its totient is φ = 105982732800.

The previous prime is 404233350029. The next prime is 404233350077. The reversal of 404233350030 is 30053332404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404233349976 and 404233350003.

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, 13825687 + ... + 13854893.

It is an arithmetic number, because the mean of its divisors is an integer number (11132256798).

Almost surely, 2404233350030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404233350030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534348326304).

404233350030 is an abundant number, since it is smaller than the sum of its proper divisors (664463302578).

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

404233350030 is a wasteful number, since it uses less digits than its factorization.

404233350030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31802 (or 31799 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 404233350030 its reverse (30053332404), we get a palindrome (434286682434).

The spelling of 404233350030 in words is "four hundred four billion, two hundred thirty-three million, three hundred fifty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2521 2745 5042 5490 7563 12605 15126 22689 25210 29207 37815 45378 58414 75630 87621 113445 146035 153781 175242 226890 262863 292070 307562 438105 461343 525726 768905 876210 922686 1314315 1384029 1537810 1781627 2306715 2628630 2768058 3563254 4613430 5344881 6920145 8908135 10689762 13840290 16034643 17816270 26724405 32069286 53448810 73630847 80173215 147261694 160346430 220892541 368154235 441785082 662677623 736308470 1104462705 1325355246 2208925410 3313388115 4491481667 6626776230 8982963334 13474445001 22457408335 26948890002 40423335003 44914816670 67372225005 80846670006 134744450010 202116675015 404233350030