Search a number
-
+
1341323120004 = 2237233585711701
BaseRepresentation
bin10011100001001101000…
…101101000110110000100
311202020012010002110011020
4103201031011220312010
5133434012204320004
62504110105311140
7165623144255040
oct23411505506604
94666163073136
101341323120004
11477940a2993a
12197b5a4954b0
139964231b23a
1448cc5775020
1524d56b678d9
hex1384d168d84

1341323120004 has 96 divisors (see below), whose sum is σ = 3593133363456. Its totient is φ = 381492633600.

The previous prime is 1341323119999. The next prime is 1341323120023. The reversal of 1341323120004 is 4000213231431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114627354 + ... + 114639054.

It is an arithmetic number, because the mean of its divisors is an integer number (37428472536).

Almost surely, 21341323120004 is an apocalyptic number.

1341323120004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1341323120004 is an abundant number, since it is smaller than the sum of its proper divisors (2251810243452).

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

1341323120004 is a wasteful number, since it uses less digits than its factorization.

1341323120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17805 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1341323120004 its reverse (4000213231431), we get a palindrome (5341536351435).

The spelling of 1341323120004 in words is "one trillion, three hundred forty-one billion, three hundred twenty-three million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 233 466 699 932 1398 1631 2796 3262 4893 5857 6524 9786 11701 11714 17571 19572 23402 23428 35103 35142 40999 46804 70206 70284 81907 81998 122997 140412 163814 163996 245721 245994 327628 491442 491988 982884 1364681 2726333 2729362 4094043 5452666 5458724 8178999 8188086 9552767 10905332 16357998 16376172 19084331 19105534 28658301 32715996 38168662 38211068 57252993 57316602 68532757 76337324 114505986 114633204 137065514 205598271 229011972 274131028 411196542 479729299 822393084 959458598 1439187897 1918917196 2878375794 5756751588 15968132381 31936264762 47904397143 63872529524 95808794286 111776926667 191617588572 223553853334 335330780001 447107706668 670661560002 1341323120004