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1365455532144 = 2431121673474057
BaseRepresentation
bin10011110111101011011…
…111011111000001110000
311211112110221111000011110
4103313223133133001300
5134332423104012034
62523140454513320
7200436155343534
oct23675337370160
94745427430143
101365455532144
114870a5061300
121a0774365840
139b9b9b98c52
144a1347dbbc4
15257ba5b1de9
hex13deb7df070

1365455532144 has 240 divisors, whose sum is σ = 3912676072704. Its totient is φ = 410010332160.

The previous prime is 1365455532121. The next prime is 1365455532149. The reversal of 1365455532144 is 4412355545631.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1365455532093 and 1365455532102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365455532149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336565764 + ... + 336569820.

Almost surely, 21365455532144 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 1365455532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956338036352).

1365455532144 is an abundant number, since it is smaller than the sum of its proper divisors (2547220540560).

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

1365455532144 is a wasteful number, since it uses less digits than its factorization.

1365455532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4587 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 48.

The spelling of 1365455532144 in words is "one trillion, three hundred sixty-five billion, four hundred fifty-five million, five hundred thirty-two thousand, one hundred forty-four".