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444111001031230 = 251319447534017653
BaseRepresentation
bin110010011111010101010011…
…0011101010001001000111110
32011020110121010020220110110021
41210332222212131101020332
5431202303312230444410
64212313435522402354
7162354650421140161
oct14476524635211076
92136417106813407
10444111001031230
1111956446614aa85
124198782b8003ba
13160a66456194c0
147b95131181ad8
15365252dc34eda
hex193eaa675123e

444111001031230 has 64 divisors (see below), whose sum is σ = 906222679064640. Its totient is φ = 155345439430656.

The previous prime is 444111001031221. The next prime is 444111001031279. The reversal of 444111001031230 is 32130100111444.

It is a super-3 number, since 3×4441110010312303 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444111001031195 and 444111001031204.

It is a congruent number.

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, 108531084 + ... + 112548736.

It is an arithmetic number, because the mean of its divisors is an integer number (14159729360385).

Almost surely, 2444111001031230 is an apocalyptic number.

444111001031230 is an abundant number, since it is smaller than the sum of its proper divisors (462111678033410).

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

444111001031230 is a wasteful number, since it uses less digits than its factorization.

444111001031230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062445.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 444111001031230 its reverse (32130100111444), we get a palindrome (476241101142674).

The spelling of 444111001031230 in words is "four hundred forty-four trillion, one hundred eleven billion, one million, thirty-one thousand, two hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 190 247 494 1235 2470 44753 89506 223765 447530 581789 850307 1163578 1700614 2908945 4017653 4251535 5817890 8035306 8503070 11053991 20088265 22107982 40176530 52229489 55269955 76335407 104458978 110539910 152670814 261147445 381677035 522294890 763354070 992360291 1984720582 4961801455 9923602910 179802024709 359604049418 899010123545 1798020247090 2337426321217 3416238469471 4674852642434 6832476938942 11687131606085 17081192347355 23374263212170 34162384694710 44411100103123 88822200206246 222055500515615 444111001031230