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44102355320144 = 2411250581564319
BaseRepresentation
bin10100000011100011000010…
…01110001111110101010000
312210011010212222012201022202
422001301201032033311100
521240033110430221034
6233444201540022332
712201201322653002
oct1201614116176520
9183133788181282
1044102355320144
1113063781917710
124b433b96919a8
131b7baacb46894
14ac67cb5c8372
1551730baae47e
hex281c6138fd50

44102355320144 has 20 divisors (see below), whose sum is σ = 93216341927040. Its totient is φ = 20046525145440.

The previous prime is 44102355320123. The next prime is 44102355320159.

44102355320144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44102355320098 and 44102355320107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 125290781984 + ... + 125290782335.

It is an arithmetic number, because the mean of its divisors is an integer number (4660817096352).

Almost surely, 244102355320144 is an apocalyptic number.

44102355320144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44102355320144 is an abundant number, since it is smaller than the sum of its proper divisors (49113986606896).

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

44102355320144 is a wasteful number, since it uses less digits than its factorization.

44102355320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250581564338 (or 250581564332 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 4410235 and 5320144, that added together give a palindrome (9730379).

The spelling of 44102355320144 in words is "forty-four trillion, one hundred two billion, three hundred fifty-five million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 250581564319 501163128638 1002326257276 2004652514552 2756397207509 4009305029104 5512794415018 11025588830036 22051177660072 44102355320144