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1444011004100 = 225272971133547
BaseRepresentation
bin10101000000110101110…
…000110101000011000100
312010001020121110110012202
4111000311300311003010
5142124313304112400
63023211451134032
7206216640005240
oct25006560650304
95101217413182
101444011004100
11507446626055
121b3a38444318
13a6228961732
144dc67793420
1527866d424d5
hex15035c350c4

1444011004100 has 72 divisors (see below), whose sum is σ = 3704635179840. Its totient is φ = 478017429120.

The previous prime is 1444011004091. The next prime is 1444011004217. The reversal of 1444011004100 is 14001104441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35546474 + ... + 35587073.

Almost surely, 21444011004100 is an apocalyptic number.

1444011004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444011004100 is an abundant number, since it is smaller than the sum of its proper divisors (2260624175740).

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

1444011004100 is a wasteful number, since it uses less digits than its factorization.

1444011004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71133597 (or 71133590 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1444011004100 its reverse (14001104441), we get a palindrome (1458012108541).

The spelling of 1444011004100 in words is "one trillion, four hundred forty-four billion, eleven million, four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 20300 71133547 142267094 284534188 355667735 497934829 711335470 995869658 1422670940 1778338675 1991739316 2062872863 2489674145 3556677350 4125745726 4979348290 7113354700 8251491452 9958696580 10314364315 12448370725 14440110041 20628728630 24896741450 28880220082 41257457260 49793482900 51571821575 57760440164 72200550205 103143643150 144401100410 206287286300 288802200820 361002751025 722005502050 1444011004100