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1414122003126 = 2327293710459637
BaseRepresentation
bin10100100101000000001…
…111010101101010110110
312000012002121000212212200
4110211000033111222312
5141132110213100001
63001345542125330
7204111155461560
oct24450017255266
95005077025780
101414122003126
114a57a9006258
121aa096720846
13a3474591641
144c62dda0330
1526bb7d42086
hex149403d5ab6

1414122003126 has 96 divisors (see below), whose sum is σ = 3720284043840. Its totient is φ = 379559271168.

The previous prime is 1414122003101. The next prime is 1414122003143. The reversal of 1414122003126 is 6213002214141.

1414122003126 is a `hidden beast` number, since 1 + 4 + 141 + 2 + 200 + 312 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1414122003126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5094621 + ... + 5365016.

It is an arithmetic number, because the mean of its divisors is an integer number (38752958790).

Almost surely, 21414122003126 is an apocalyptic number.

1414122003126 is an abundant number, since it is smaller than the sum of its proper divisors (2306162040714).

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

1414122003126 is a wasteful number, since it uses less digits than its factorization.

1414122003126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10459718 (or 10459715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1414122003126 its reverse (6213002214141), we get a palindrome (7627124217267).

The spelling of 1414122003126 in words is "one trillion, four hundred fourteen billion, one hundred twenty-two million, three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 87 111 126 174 203 222 259 261 333 406 518 522 609 666 777 1073 1218 1554 1827 2146 2331 3219 3654 4662 6438 7511 9657 15022 19314 22533 45066 67599 135198 10459637 20919274 31378911 62757822 73217459 94136733 146434918 188273466 219652377 303329473 387006569 439304754 606658946 658957131 774013138 909988419 1161019707 1317914262 1819976838 2123306311 2322039414 2709045983 2729965257 3483059121 4246612622 5418091966 5459930514 6369918933 6966118242 8127137949 11223190501 12739837866 16254275898 19109756799 22446381002 24381413847 33669571503 38219513598 48762827694 67339143006 78562333507 101008714509 157124667014 202017429018 235687000521 471374001042 707061001563 1414122003126