Search a number
-
+
304213010311404 = 223523311231196123
BaseRepresentation
bin100010100101011100001110…
…0011010100110100011101100
31110220010110221202010021100000
41011022320130122212203230
5304333211221114431104
62555001305544304300
7121035443663322225
oct10512703432464354
91426113852107300
10304213010311404
1188a2801655a867
122a152629772090
1310099218a9191c
145519db9b0824c
15252842a07a639
hex114ae1c6a68ec

304213010311404 has 144 divisors (see below), whose sum is σ = 801600162959232. Its totient is φ = 100879130512512.

The previous prime is 304213010311403. The next prime is 304213010311471. The reversal of 304213010311404 is 404113010312403.

304213010311404 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 1 + 301 + 0 + 311 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (304213010311403) by changing a digit.

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, 253734487 + ... + 254930609.

It is an arithmetic number, because the mean of its divisors is an integer number (5566667798328).

Almost surely, 2304213010311404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304213010311404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400800081479616).

304213010311404 is an abundant number, since it is smaller than the sum of its proper divisors (497387152647828).

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

304213010311404 is a wasteful number, since it uses less digits than its factorization.

304213010311404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197498 (or 1197484 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 304213010311404 its reverse (404113010312403), we get a palindrome (708326020623807).

Subtracting 304213010311404 from its reverse (404113010312403), we obtain a palindrome (99900000000999).

The spelling of 304213010311404 in words is "three hundred four trillion, two hundred thirteen billion, ten million, three hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 243 324 466 486 699 932 972 1123 1398 2097 2246 2796 3369 4194 4492 6291 6738 8388 10107 12582 13476 18873 20214 25164 30321 37746 40428 56619 60642 75492 90963 113238 121284 181926 226476 261659 272889 363852 523318 545778 784977 1046636 1091556 1196123 1569954 2354931 2392246 3139908 3588369 4709862 4784492 7064793 7176738 9419724 10765107 14129586 14353476 21194379 21530214 28259172 32295321 42388758 43060428 63583137 64590642 84777516 96885963 127166274 129181284 193771926 254332548 278696659 290657889 387543852 557393318 581315778 836089977 1114786636 1162631556 1343246129 1672179954 2508269931 2686492258 3344359908 4029738387 5016539862 5372984516 7524809793 8059476774 10033079724 12089215161 15049619586 16118953548 22574429379 24178430322 30099239172 36267645483 45148858758 48356860644 67723288137 72535290966 90297717516 108802936449 135446576274 145070581932 217605872898 270893152548 312976348057 326408809347 435211745796 625952696114 652817618694 938929044171 1251905392228 1305635237388 1877858088342 2816787132513 3755716176684 5633574265026 8450361397539 11267148530052 16900722795078 25351084192617 33801445590156 50702168385234 76053252577851 101404336770468 152106505155702 304213010311404