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930784144230 = 2325192263108929
BaseRepresentation
bin11011000101101110000…
…11101110101101100110
310021222111221120122021100
431202313003232231212
5110222221220103410
61551332450300530
7124150461454113
oct15426703565546
93258457518240
10930784144230
1132981a425006
12130485887746
1369a07442075
143309ba2d90a
1519329de98c0
hexd8b70eeb66

930784144230 has 144 divisors (see below), whose sum is σ = 2563847938080. Its totient is φ = 234249228288.

The previous prime is 930784144229. The next prime is 930784144253. The reversal of 930784144230 is 32441487039.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 8490406 + ... + 8599334.

It is an arithmetic number, because the mean of its divisors is an integer number (17804499570).

Almost surely, 2930784144230 is an apocalyptic number.

930784144230 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 930784144230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281923969040).

930784144230 is an abundant number, since it is smaller than the sum of its proper divisors (1633063793850).

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

930784144230 is a wasteful number, since it uses less digits than its factorization.

930784144230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109243 (or 109221 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 930784144230 in words is "nine hundred thirty billion, seven hundred eighty-four million, one hundred forty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 263 285 342 361 526 570 722 789 855 1083 1315 1578 1710 1805 2166 2367 2630 3249 3610 3945 4734 4997 5415 6498 7890 9994 10830 11835 14991 16245 23670 24985 29982 32490 44973 49970 74955 89946 94943 108929 149910 189886 217858 224865 284829 326787 449730 474715 544645 569658 653574 854487 949430 980361 1089290 1424145 1633935 1708974 1960722 2069651 2848290 3267870 4139302 4272435 4901805 6208953 8544870 9803610 10348255 12417906 18626859 20696510 28648327 31044765 37253718 39323369 57296654 62089530 78646738 85944981 93134295 117970107 143241635 171889962 186268590 196616845 235940214 257834943 286483270 353910321 393233690 429724905 515669886 544318213 589850535 707820642 859449810 1088636426 1179701070 1289174715 1632954639 1769551605 2578349430 2721591065 3265909278 3539103210 4898863917 5443182130 8164773195 9797727834 10342046047 16329546390 20684092094 24494319585 31026138141 48988639170 51710230235 62052276282 93078414423 103420460470 155130690705 186156828846 310261381410 465392072115 930784144230