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4406439119104 = 28112119272
BaseRepresentation
bin100000000011111010000…
…1111010000100100000000
3120121020210022121012202201
41000013310033100210000
51034143341403302404
613212142402522544
7633232445343121
oct100076417204400
916536708535681
104406439119104
111449840009500
125b1bb7666454
1325c6aa48ca09
141133b677a048
157994cd2aca4
hex401f43d0900

4406439119104 has 81 divisors (see below), whose sum is σ = 9668773661491. Its totient is φ = 2002758940160.

The previous prime is 4406439119077. The next prime is 4406439119107. The reversal of 4406439119104 is 4019119346044.

The square root of 4406439119104 is 2099152.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4406439119107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369444789 + ... + 369456715.

Almost surely, 24406439119104 is an apocalyptic number.

4406439119104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4406439119104 is the 2099152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4406439119104

4406439119104 is an abundant number, since it is smaller than the sum of its proper divisors (5262334542387).

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

4406439119104 is an frugal number, since it uses more digits than its factorization.

4406439119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23892 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 4406439119104 in words is "four trillion, four hundred six billion, four hundred thirty-nine million, one hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 11927 15488 23854 30976 47708 95416 131197 190832 262394 381664 524788 763328 1049576 1443167 1526656 2099152 2886334 3053312 4198304 5772668 8396608 11545336 16793216 23090672 33586432 46181344 92362688 142253329 184725376 284506658 369450752 569013316 1138026632 1564786619 2276053264 3129573238 4552106528 6259146476 9104213056 12518292952 17212652809 18208426112 25036585904 34425305618 36416852224 50073171808 68850611236 100146343616 137701222472 200292687232 275402444944 400585374464 550804889888 1101609779776 2203219559552 4406439119104