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1412444664504 = 233371731261643
BaseRepresentation
bin10100100011011100010…
…000110011001010111000
312000000202200211020212000
4110203130100303022320
5141120141313231004
63000511303021000
7204021460361526
oct24433420631270
95000680736760
101412444664504
114a5018210995
121a98a8a3a760
13a3267c1a993
144c5112d7316
1526b1a967c39
hex148dc4332b8

1412444664504 has 128 divisors (see below), whose sum is σ = 4033223539200. Its totient is φ = 457824648960.

The previous prime is 1412444664469. The next prime is 1412444664509. The reversal of 1412444664504 is 4054664442141.

1412444664504 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 44 + 46 + 64 + 504 = 666.

It is a super-5 number, since 5×14124446645045 (a number of 62 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1412444664504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412444664509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488707 + ... + 1750349.

It is an arithmetic number, because the mean of its divisors is an integer number (31509558900).

Almost surely, 21412444664504 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 1412444664504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016611769600).

1412444664504 is an abundant number, since it is smaller than the sum of its proper divisors (2620778874696).

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

1412444664504 is a wasteful number, since it uses less digits than its factorization.

1412444664504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261802 (or 1261792 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1412444664504 in words is "one trillion, four hundred twelve billion, four hundred forty-four million, six hundred sixty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 73 108 142 146 213 216 219 284 292 426 438 568 584 639 657 852 876 1278 1314 1704 1752 1917 1971 2556 2628 3834 3942 5112 5183 5256 7668 7884 10366 15336 15549 15768 20732 31098 41464 46647 62196 93294 124392 139941 186588 279882 373176 559764 1119528 1261643 2523286 3784929 5046572 7569858 10093144 11354787 15139716 22709574 30279432 34064361 45419148 68128722 89576653 90838296 92099939 136257444 179153306 184199878 268729959 272514888 276299817 358306612 368399756 537459918 552599634 716613224 736799512 806189877 828899451 1074919836 1105199268 1612379754 1657798902 2149839672 2210398536 2418569631 2486698353 3224759508 3315597804 4837139262 4973396706 6449519016 6539095669 6631195608 9674278524 9946793412 13078191338 19348557048 19617287007 19893586824 26156382676 39234574014 52312765352 58851861021 78469148028 117703722042 156938296056 176555583063 235407444084 353111166126 470814888168 706222332252 1412444664504