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2002144144 = 2471113413049
BaseRepresentation
bin111011101010110…
…0100101110010000
312011112101110102211
41313111210232100
513100022103034
6530400521504
7100420641640
oct16725445620
95145343384
102002144144
11938181590
1247a620294
1325ba482a0
1414dc96520
15bab87d64
hex77564b90

2002144144 has 160 divisors (see below), whose sum is σ = 5337158400. Its totient is φ = 702259200.

The previous prime is 2002144139. The next prime is 2002144217. The reversal of 2002144144 is 4414412002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655132 + ... + 658180.

It is an arithmetic number, because the mean of its divisors is an integer number (33357240).

Almost surely, 22002144144 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 2002144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668579200).

2002144144 is an abundant number, since it is smaller than the sum of its proper divisors (3335014256).

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

2002144144 is a wasteful number, since it uses less digits than its factorization.

2002144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2002144144 is about 44745.3253871284. The cubic root of 2002144144 is about 1260.3711311199.

Adding to 2002144144 its reverse (4414412002), we get a palindrome (6416556146).

The spelling of 2002144144 in words is "two billion, two million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 41 44 52 56 77 82 88 91 104 112 143 154 164 176 182 208 286 287 308 328 364 451 533 572 574 616 656 728 902 1001 1066 1144 1148 1232 1456 1804 2002 2132 2288 2296 3049 3157 3608 3731 4004 4264 4592 5863 6098 6314 7216 7462 8008 8528 11726 12196 12628 14924 16016 21343 23452 24392 25256 29848 33539 39637 41041 42686 46904 48784 50512 59696 67078 79274 82082 85372 93808 125009 134156 158548 164164 170744 234773 250018 268312 277459 317096 328328 341488 436007 469546 500036 536624 554918 634192 656656 872014 875063 939092 1000072 1109836 1375099 1625117 1744028 1750126 1878184 2000144 2219672 2750198 3052049 3250234 3488056 3500252 3756368 4439344 5500396 6104098 6500468 6976112 7000504 9625693 11000792 11375819 12208196 13000936 14001008 17876287 19251386 22001584 22751638 24416392 26001872 35752574 38502772 45503276 48832784 71505148 77005544 91006552 125134009 143010296 154011088 182013104 250268018 286020592 500536036 1001072072 2002144144