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444135053500 = 22538915716353
BaseRepresentation
bin1100111011010001000…
…00110001100010111100
31120110101112110101111221
412131220200301202330
524234042033203000
6540011031323124
744042036444245
oct6355040614274
91513345411457
10444135053500
111613a1728326
12720abb204a4
1332b602aa008
14176d39dbccc
15b84643161a
hex67688318bc

444135053500 has 96 divisors (see below), whose sum is σ = 981668600640. Its totient is φ = 175518464000.

The previous prime is 444135053471. The next prime is 444135053539. The reversal of 444135053500 is 5350531444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69906324 + ... + 69912676.

It is an arithmetic number, because the mean of its divisors is an integer number (10225714590).

Almost surely, 2444135053500 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 444135053500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490834300320).

444135053500 is an abundant number, since it is smaller than the sum of its proper divisors (537533547140).

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

444135053500 is a wasteful number, since it uses less digits than its factorization.

444135053500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 444135053500 its reverse (5350531444), we get a palindrome (449485584944).

The spelling of 444135053500 in words is "four hundred forty-four billion, one hundred thirty-five million, fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 178 250 356 445 500 890 1571 1780 2225 3142 4450 6284 6353 7855 8900 11125 12706 15710 22250 25412 31420 31765 39275 44500 63530 78550 127060 139819 157100 158825 196375 279638 317650 392750 559276 565417 635300 699095 785500 794125 1130834 1398190 1588250 2261668 2796380 2827085 3176500 3495475 5654170 6990950 9980563 11308340 13981900 14135425 17477375 19961126 28270850 34954750 39922252 49902815 56541700 69909500 70677125 99805630 141354250 199611260 249514075 282708500 499028150 888270107 998056300 1247570375 1776540214 2495140750 3553080428 4441350535 4990281500 8882701070 17765402140 22206752675 44413505350 88827010700 111033763375 222067526750 444135053500