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444138482500 = 22541153154081
BaseRepresentation
bin1100111011010001011…
…01110110101101000100
31120110101202220121012221
412131220231312231010
524234043422420000
6540011233022124
744042110545316
oct6355055665504
91513352817187
10444138482500
111613a365a609
12720b10b4944
1332b60c0a9cb
14176d42517b6
15b8468ac61a
hex6768b76b44

444138482500 has 60 divisors (see below), whose sum is σ = 972090703276. Its totient is φ = 177500160000.

The previous prime is 444138482483. The next prime is 444138482507. The reversal of 444138482500 is 5284831444.

It can be written as a sum of positive squares in 10 ways, for example, as 238145952004 + 205992530496 = 488002^2 + 453864^2 .

It is not an unprimeable number, because it can be changed into a prime (444138482507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2805460 + ... + 2959540.

Almost surely, 2444138482500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444138482500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486045351638).

444138482500 is an abundant number, since it is smaller than the sum of its proper divisors (527952220776).

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

444138482500 is a wasteful number, since it uses less digits than its factorization.

444138482500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155258 (or 155241 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 444138482500 in words is "four hundred forty-four billion, one hundred thirty-eight million, four hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1153 1250 2306 2500 4612 5765 11530 23060 28825 57650 115300 144125 154081 288250 308162 576500 616324 720625 770405 1441250 1540810 2882500 3081620 3852025 7704050 15408100 19260125 38520250 77040500 96300625 177655393 192601250 355310786 385202500 710621572 888276965 1776553930 3553107860 4441384825 8882769650 17765539300 22206924125 44413848250 88827696500 111034620625 222069241250 444138482500