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44104311340144 = 2411713529474339
BaseRepresentation
bin10100000011100110101011…
…10011110111110001110000
312210011022221021210211022221
422001303111303313301300
521240101112200341034
6233445124012210424
712201300643602136
oct1201632563676160
9183138837724287
1044104311340144
1113064595a55470
124b43864769a14
131b7c032162973
14ac69352b5756
155173c3685bb4
hex281cd5cf7c70

44104311340144 has 40 divisors (see below), whose sum is σ = 94533440722560. Its totient is φ = 19765056292800.

The previous prime is 44104311340127. The next prime is 44104311340169.

44104311340144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764724674 + ... + 1764749665.

It is an arithmetic number, because the mean of its divisors is an integer number (2363336018064).

Almost surely, 244104311340144 is an apocalyptic number.

44104311340144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44104311340144 is an abundant number, since it is smaller than the sum of its proper divisors (50429129382416).

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

44104311340144 is a wasteful number, since it uses less digits than its factorization.

44104311340144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529474429 (or 3529474423 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 4410431 and 1340144, that added together give a palindrome (5750575).

The spelling of 44104311340144 in words is "forty-four trillion, one hundred four billion, three hundred eleven million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 12496 3529474339 7058948678 14117897356 28235794712 38824217729 56471589424 77648435458 155296870916 250592678069 310593741832 501185356138 621187483664 1002370712276 2004741424552 2756519458759 4009482849104 5513038917518 11026077835036 22052155670072 44104311340144