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44231366554320 = 2435112101106914107
BaseRepresentation
bin10100000111010011010101…
…11001000011001011010000
312210121110212222121110020010
422003221222321003023100
521244141314314214240
6234023335334314520
712213416332236111
oct1203515271031320
9183543788543203
1044231366554320
1113103465346400
124b644031b8a40
131b8acccc1577a
14accb4962c208
1551a85cc10280
hex283a6ae432d0

44231366554320 has 480 divisors, whose sum is σ = 152361057018240. Its totient is φ = 10605906432000.

The previous prime is 44231366554303. The next prime is 44231366554367. The reversal of 44231366554320 is 2345566313244.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44231366554320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135412707 + ... + 3135426813.

It is an arithmetic number, because the mean of its divisors is an integer number (317418868788).

Almost surely, 244231366554320 is an apocalyptic number.

44231366554320 is a gapful number since it is divisible by the number (40) 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 44231366554320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76180528509120).

44231366554320 is an abundant number, since it is smaller than the sum of its proper divisors (108129690463920).

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

44231366554320 is a wasteful number, since it uses less digits than its factorization.

44231366554320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 44231366554320 in words is "forty-four trillion, two hundred thirty-one billion, three hundred sixty-six million, five hundred fifty-four thousand, three hundred twenty".