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444032033104 = 24112717731957
BaseRepresentation
bin1100111011000100101…
…11110010000101010000
31120110010100121102002201
412131202113302011100
524233334200024404
6535552511252544
744036346002242
oct6354227620520
91513110542081
10444032033104
11161349563600
127208151a154
1332b44b497ba
14176c4062092
15b83c381ca4
hex67625f2150

444032033104 has 60 divisors (see below), whose sum is σ = 945793622452. Its totient is φ = 201798305280.

The previous prime is 444032033099. The next prime is 444032033111. The reversal of 444032033104 is 401330230444.

It can be written as a sum of positive squares in 2 ways, for example, as 388453027600 + 55579005504 = 623260^2 + 235752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13878694 + ... + 13910650.

Almost surely, 2444032033104 is an apocalyptic number.

444032033104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444032033104 is an abundant number, since it is smaller than the sum of its proper divisors (501761589348).

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

444032033104 is a wasteful number, since it uses less digits than its factorization.

444032033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39164 (or 39147 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 444032033104 its reverse (401330230444), we get a palindrome (845362263548).

The spelling of 444032033104 in words is "four hundred forty-four billion, thirty-two million, thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 7177 14354 28708 31957 57416 63914 78947 114832 127828 157894 255656 315788 351527 511312 631576 703054 868417 1263152 1406108 1736834 2812216 3473668 3866797 5624432 6947336 7733594 13894672 15467188 30934376 61868752 229355389 458710778 917421556 1834843112 2522909279 3669686224 5045818558 10091637116 20183274232 27752002069 40366548464 55504004138 111008008276 222016016552 444032033104