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4444316203400 = 235263293511073
BaseRepresentation
bin100000010101100010111…
…1000110111100110001000
3120201212120001000110101122
41000223011320313212020
51040303424422002100
613241405104134412
7636043204265243
oct100530570674610
916655501013348
104444316203400
1114639076a7557
125b9408607408
1326313578cb28
1411516b01425a
157a918270985
hex40ac5e37988

4444316203400 has 48 divisors (see below), whose sum is σ = 10334670765300. Its totient is φ = 1777445089280.

The previous prime is 4444316203399. The next prime is 4444316203403. The reversal of 4444316203400 is 43026134444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1434528407524 + 3009787795876 = 1197718^2 + 1734874^2 .

It is not an unprimeable number, because it can be changed into a prime (4444316203403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 489737 + ... + 3021336.

Almost surely, 24444316203400 is an apocalyptic number.

4444316203400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444316203400 is an abundant number, since it is smaller than the sum of its proper divisors (5890354561900).

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

4444316203400 is a wasteful number, since it uses less digits than its factorization.

4444316203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517418 (or 3517409 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 4444316203400 in words is "four trillion, four hundred forty-four billion, three hundred sixteen million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6329 12658 25316 31645 50632 63290 126580 158225 253160 316450 632900 1265800 3511073 7022146 14044292 17555365 28088584 35110730 70221460 87776825 140442920 175553650 351107300 702214600 22221581017 44443162034 88886324068 111107905085 177772648136 222215810170 444431620340 555539525425 888863240680 1111079050850 2222158101700 4444316203400