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4442414147616 = 253411995671669
BaseRepresentation
bin100000010100101010010…
…0001000110100000100000
3120201200122110222000101010
41000221110201012200200
51040241031010210431
613240452240340520
7635645110134144
oct100512441064040
916650573860333
104442414147616
111463020a77925
125b8b77614740
13262bc16b9633
1411502a573224
157a8562a8846
hex40a54846820

4442414147616 has 96 divisors (see below), whose sum is σ = 12005791056000. Its totient is φ = 1437427537920.

The previous prime is 4442414147597. The next prime is 4442414147653. The reversal of 4442414147616 is 6167414142444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052571 + ... + 3619098.

It is an arithmetic number, because the mean of its divisors is an integer number (125060323500).

Almost surely, 24442414147616 is an apocalyptic number.

It is an amenable number.

4442414147616 is an abundant number, since it is smaller than the sum of its proper divisors (7563376908384).

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

4442414147616 is a wasteful number, since it uses less digits than its factorization.

4442414147616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671922 (or 5671914 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The spelling of 4442414147616 in words is "four trillion, four hundred forty-two billion, four hundred fourteen million, one hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 199 246 328 398 492 597 656 796 984 1194 1312 1592 1968 2388 3184 3936 4776 6368 8159 9552 16318 19104 24477 32636 48954 65272 97908 130544 195816 261088 391632 783264 5671669 11343338 17015007 22686676 34030014 45373352 68060028 90746704 136120056 181493408 232538429 272240112 465076858 544480224 697615287 930153716 1128662131 1395230574 1860307432 2257324262 2790461148 3385986393 3720614864 4514648524 5580922296 6771972786 7441229728 9029297048 11161844592 13543945572 18058594096 22323689184 27087891144 36117188192 46275147371 54175782288 92550294742 108351564576 138825442113 185100589484 277650884226 370201178968 555301768452 740402357936 1110603536904 1480804715872 2221207073808 4442414147616