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1113214050144 = 253271267143579
BaseRepresentation
bin10000001100110000101…
…110100101111101100000
310221102101210122001210100
4100030300232211331200
5121214330244101034
62211223052302400
7143266324205040
oct20146056457540
93842353561710
101113214050144
1139a125345499
1215b8b9171a00
1380c8b613461
143bc46431720
151de55ad5099
hex10330ba5f60

1113214050144 has 144 divisors (see below), whose sum is σ = 3618314219520. Its totient is φ = 318028757760.

The previous prime is 1113214050139. The next prime is 1113214050149. The reversal of 1113214050144 is 4410504123111.

It is a happy number.

1113214050144 is a `hidden beast` number, since 1 + 1 + 13 + 2 + 140 + 501 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1113214050139) and next prime (1113214050149).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113214050149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25522947 + ... + 25566525.

It is an arithmetic number, because the mean of its divisors is an integer number (25127182080).

Almost surely, 21113214050144 is an apocalyptic number.

1113214050144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1113214050144 is an abundant number, since it is smaller than the sum of its proper divisors (2505100169376).

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

1113214050144 is a wasteful number, since it uses less digits than its factorization.

1113214050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56273 (or 56262 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 1113214050144 its reverse (4410504123111), we get a palindrome (5523718173255).

The spelling of 1113214050144 in words is "one trillion, one hundred thirteen billion, two hundred fourteen million, fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 12671 25342 38013 43579 50684 76026 87158 88697 101368 114039 130737 152052 174316 177394 202736 228078 261474 266091 304104 305053 348632 354788 392211 405472 456156 522948 532182 608208 610106 697264 709576 784422 798273 912312 915159 1045896 1064364 1216416 1220212 1394528 1419152 1568844 1596546 1824624 1830318 2091792 2128728 2440424 2745477 2838304 3137688 3193092 3649248 3660636 4183584 4257456 4880848 5490954 6275376 6386184 7321272 8514912 9761696 10981908 12550752 12772368 14642544 21963816 25544736 29285088 43927632 87855264 552189509 1104379018 1656568527 2208758036 3313137054 3865326563 4417516072 4969705581 6626274108 7730653126 8835032144 9939411162 11595979689 13252548216 15461306252 17670064288 19878822324 23191959378 26505096432 30922612504 34787939067 39757644648 46383918756 53010192864 61845225008 69575878134 79515289296 92767837512 123690450016 139151756268 159030578592 185535675024 278303512536 371071350048 556607025072 1113214050144