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1131420322144 = 25725322875953
BaseRepresentation
bin10000011101101101111…
…010000000100101100000
311000011101121221111210201
4100131231322000211200
5122014122100302034
62223433424034544
7144512436026200
oct20355572004540
94004347844721
101131420322144
113a6918304082
1216333a462a54
13829004b5a78
143ca923d4400
151e66e136014
hex1076de80960

1131420322144 has 144 divisors (see below), whose sum is σ = 2641642331328. Its totient is φ = 475457568768.

The previous prime is 1131420322139. The next prime is 1131420322159. The reversal of 1131420322144 is 4412230241311.

It is a happy number.

It is a super-2 number, since 2×11314203221442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190055872 + ... + 190061824.

It is an arithmetic number, because the mean of its divisors is an integer number (18344738412).

Almost surely, 21131420322144 is an apocalyptic number.

1131420322144 is a gapful number since it is divisible by the number (14) 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 1131420322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320821165664).

1131420322144 is an abundant number, since it is smaller than the sum of its proper divisors (1510222009184).

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

1131420322144 is a wasteful number, since it uses less digits than its factorization.

1131420322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1131420322144 its reverse (4412230241311), we get a palindrome (5543650563455).

The spelling of 1131420322144 in words is "one trillion, one hundred thirty-one billion, four hundred twenty million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 371 392 424 742 784 848 1484 1568 1696 2287 2597 2968 4574 5194 5936 5953 9148 10388 11872 11906 16009 18296 20776 23812 32018 36592 41552 41671 47624 64036 73184 83104 83342 95248 112063 121211 128072 166684 190496 224126 242422 256144 291697 315509 333368 448252 484844 512288 583394 631018 666736 848477 896504 969688 1166788 1262036 1333472 1696954 1793008 1939376 2208563 2333576 2524072 3393908 3586016 3878752 4417126 4667152 5048144 5939339 6787816 8834252 9334304 10096288 11878678 13575632 13614511 15459941 17668504 23757356 27151264 27229022 30919882 35337008 47514712 54458044 61839764 70674016 95029424 95301577 108916088 123679528 190058848 190603154 217832176 247359056 381206308 435664352 494718112 667111039 721569083 762412616 1334222078 1443138166 1524825232 2668444156 2886276332 3049650464 5050983581 5336888312 5772552664 10101967162 10673776624 11545105328 20203934324 21347553248 23090210656 35356885067 40407868648 70713770134 80815737296 141427540268 161631474592 282855080536 565710161072 1131420322144