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4542441425104 = 2411214811584269
BaseRepresentation
bin100001000011001111010…
…0110111000100011010000
3121002020211112221012022011
41002012132212320203100
51043410410001100404
613354434020152304
7646115635021642
oct102063646704320
917066745835264
104542441425104
1114a1490843a00
12614432538694
1326c472a59aab
14119bd9094892
157d25cad0604
hex4219e9b88d0

4542441425104 has 60 divisors (see below), whose sum is σ = 9680342801220. Its totient is φ = 2063350643200.

The previous prime is 4542441425087. The next prime is 4542441425147. The reversal of 4542441425104 is 4015241442454.

It can be written as a sum of positive squares in 2 ways, for example, as 1492668175504 + 3049773249600 = 1221748^2 + 1746360^2 .

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, 2075082 + ... + 3659350.

It is an arithmetic number, because the mean of its divisors is an integer number (161339046687).

Almost surely, 24542441425104 is an apocalyptic number.

4542441425104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4542441425104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840171400610).

4542441425104 is an abundant number, since it is smaller than the sum of its proper divisors (5137901376116).

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

4542441425104 is a wasteful number, since it uses less digits than its factorization.

4542441425104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585780 (or 1585763 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 4542441425104 its reverse (4015241442454), we get a palindrome (8557682867558).

The spelling of 4542441425104 in words is "four trillion, five hundred forty-two billion, four hundred forty-one million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1481 1936 2962 5924 11848 16291 23696 32582 65164 130328 179201 260656 358402 716804 1433608 1584269 2867216 3168538 6337076 12674152 17426959 25348304 34853918 69707836 139415672 191696549 278831344 383393098 766786196 1533572392 2346302389 3067144784 4692604778 9385209556 18770419112 25809326279 37540838224 51618652558 103237305116 206474610232 283902589069 412949220464 567805178138 1135610356276 2271220712552 4542441425104