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1442122002240 = 263513191138901
BaseRepresentation
bin10100111111000101001…
…010110110111101000000
312002212100221222012210220
4110333011022312331000
5142111431213032430
63022300211223040
7206122061523213
oct24770512667500
95085327865726
101442122002240
11506667301a97
121b35ab8a7a80
13a5cb74abb5a
144db2894d77a
15277a60a8110
hex14fc52b6f40

1442122002240 has 112 divisors (see below), whose sum is σ = 4582212750720. Its totient is φ = 384273971200.

The previous prime is 1442122002227. The next prime is 1442122002257. The reversal of 1442122002240 is 422002212441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1442122002240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696790 + ... + 1835690.

Almost surely, 21442122002240 is an apocalyptic number.

1442122002240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442122002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291106375360).

1442122002240 is an abundant number, since it is smaller than the sum of its proper divisors (3140090748480).

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

1442122002240 is a wasteful number, since it uses less digits than its factorization.

1442122002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140240 (or 1140230 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1442122002240 its reverse (422002212441), we get a palindrome (1864124214681).

The spelling of 1442122002240 in words is "one trillion, four hundred forty-two billion, one hundred twenty-two million, two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1319 2638 3957 5276 6595 7914 10552 13190 15828 19785 21104 26380 31656 39570 42208 52760 63312 79140 84416 105520 126624 158280 211040 253248 316560 422080 633120 1138901 1266240 2277802 3416703 4555604 5694505 6833406 9111208 11389010 13666812 17083515 18222416 22778020 27333624 34167030 36444832 45556040 54667248 68334060 72889664 91112080 109334496 136668120 182224160 218668992 273336240 364448320 546672480 1093344960 1502210419 3004420838 4506631257 6008841676 7511052095 9013262514 12017683352 15022104190 18026525028 22533156285 24035366704 30044208380 36053050056 45066312570 48070733408 60088416760 72106100112 90132625140 96141466816 120176833520 144212200224 180265250280 240353667040 288424400448 360530500560 480707334080 721061001120 1442122002240