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4404123145413 = 324153594997649
BaseRepresentation
bin100000000010110101000…
…1100100001010011000101
3120121000210220200120010100
41000011222030201103011
51034124121011123123
613211120511314313
7633121164032205
oct100055214412305
916530726616110
104404123145413
111448861778162
125b166bb1b999
1325c3cb713c94
14113236d50405
1579864851643
hex4016a3214c5

4404123145413 has 96 divisors (see below), whose sum is σ = 6766578000000. Its totient is φ = 2756892303360.

The previous prime is 4404123145343. The next prime is 4404123145427. The reversal of 4404123145413 is 3145413214044.

It is a happy number.

4404123145413 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 1 + 231 + 4 + 5 + 413 = 666.

It is not a de Polignac number, because 4404123145413 - 29 = 4404123144901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404123145493) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575773813 + ... + 575781461.

It is an arithmetic number, because the mean of its divisors is an integer number (70485187500).

Almost surely, 24404123145413 is an apocalyptic number.

It is an amenable number.

4404123145413 is a deficient number, since it is larger than the sum of its proper divisors (2362454854587).

4404123145413 is a wasteful number, since it uses less digits than its factorization.

4404123145413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307 (or 8304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4404123145413 its reverse (3145413214044), we get a palindrome (7549536359457).

The spelling of 4404123145413 in words is "four trillion, four hundred four billion, one hundred twenty-three million, one hundred forty-five thousand, four hundred thirteen".

Divisors: 1 3 9 41 53 59 123 159 177 369 477 499 531 1497 2173 2419 3127 4491 6519 7257 7649 9381 19557 20459 21771 22947 26447 28143 29441 61377 68841 79341 88323 128207 184131 238023 264969 313609 384621 405397 451291 940827 1084327 1153863 1207081 1216191 1353873 1560373 2822481 3252981 3621243 3648573 3816851 4061619 4681119 9758943 10863729 11450553 14043357 16621277 18502931 23918423 34351659 49863831 55508793 63975293 71755269 149591493 156490891 166526379 191925879 202293103 215265807 225194209 469472673 575777637 606879309 675582627 980655343 1408418019 1820637927 2026747881 2941966029 8294017223 8825898087 9232962569 11935293077 24882051669 27698887707 35805879231 74646155007 83096663121 107417637693 489347016157 1468041048471 4404123145413