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144211110426 = 2337944975289
BaseRepresentation
bin1000011001001110100…
…1101110101000011010
3111210020022122110021000
42012103221232220122
54330321021013201
6150125532325430
713263454133115
oct2062351565032
9453208573230
10144211110426
1156183459799
1223b48013876
13107a315ab06
146da0a1757c
153b40797d86
hex2193a6ea1a

144211110426 has 64 divisors (see below), whose sum is σ = 325252800000. Its totient is φ = 47355549696.

The previous prime is 144211110389. The next prime is 144211110443. The reversal of 144211110426 is 624011112441.

It is a happy number.

144211110426 is a `hidden beast` number, since 1 + 442 + 111 + 104 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 144211110426.

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, 1877790 + ... + 1953078.

It is an arithmetic number, because the mean of its divisors is an integer number (5082075000).

Almost surely, 2144211110426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144211110426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162626400000).

144211110426 is an abundant number, since it is smaller than the sum of its proper divisors (181041689574).

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

144211110426 is a wasteful number, since it uses less digits than its factorization.

144211110426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75828 (or 75822 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 144211110426 its reverse (624011112441), we get a palindrome (768222222867).

The spelling of 144211110426 in words is "one hundred forty-four billion, two hundred eleven million, one hundred ten thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 449 474 711 898 1347 1422 2133 2694 4041 4266 8082 12123 24246 35471 70942 75289 106413 150578 212826 225867 319239 451734 638478 677601 957717 1355202 1915434 2032803 4065606 5947831 11895662 17843493 33804761 35686986 53530479 67609522 101414283 107060958 160591437 202828566 304242849 321182874 608485698 912728547 1825457094 2670576119 5341152238 8011728357 16023456714 24035185071 48070370142 72105555213 144211110426