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13444233040 = 2457199120641
BaseRepresentation
bin11001000010101011…
…01011011101010000
31021200221200210122001
430201111223131100
5210013210424130
610102020323344
7654106044460
oct144125533520
937627623561
1013444233040
115779a122a7
122732543554
13136342c7a4
14917765ba0
1553a4516ca
hex32156b750

13444233040 has 80 divisors (see below), whose sum is σ = 35903059200. Its totient is φ = 4586250240.

The previous prime is 13444233031. The next prime is 13444233059. The reversal of 13444233040 is 4033244431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51120 + ... + 171760.

It is an arithmetic number, because the mean of its divisors is an integer number (448788240).

Almost surely, 213444233040 is an apocalyptic number.

13444233040 is a gapful number since it is divisible by the number (10) 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 13444233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17951529600).

13444233040 is an abundant number, since it is smaller than the sum of its proper divisors (22458826160).

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

13444233040 is a wasteful number, since it uses less digits than its factorization.

13444233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120860 (or 120854 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 13444233040 its reverse (4033244431), we get a palindrome (17477477471).

The spelling of 13444233040 in words is "thirteen billion, four hundred forty-four million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 199 280 398 560 796 995 1393 1592 1990 2786 3184 3980 5572 6965 7960 11144 13930 15920 22288 27860 55720 111440 120641 241282 482564 603205 844487 965128 1206410 1688974 1930256 2412820 3377948 4222435 4825640 6755896 8444870 9651280 13511792 16889740 24007559 33779480 48015118 67558960 96030236 120037795 168052913 192060472 240075590 336105826 384120944 480151180 672211652 840264565 960302360 1344423304 1680529130 1920604720 2688846608 3361058260 6722116520 13444233040