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5416162441440 = 2535431511737821
BaseRepresentation
bin100111011010000110001…
…1100000011100011100000
3201011210001200011120222020
41032310030130003203200
51202214300041111230
615304052313541440
71066206361101522
oct116641434034340
921153050146866
105416162441440
1117a8a88554383
12735831a14880
1330398502260a
1414a2022c3a12
1595d47eeb810
hex4ed0c7038e0

5416162441440 has 192 divisors, whose sum is σ = 17573300946432. Its totient is φ = 1401378048000.

The previous prime is 5416162441427. The next prime is 5416162441457. The reversal of 5416162441440 is 441442616145.

It is a junction number, because it is equal to n+sod(n) for n = 5416162441392 and 5416162441401.

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, 2247730 + ... + 3985550.

It is an arithmetic number, because the mean of its divisors is an integer number (91527609096).

Almost surely, 25416162441440 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 5416162441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786650473216).

5416162441440 is an abundant number, since it is smaller than the sum of its proper divisors (12157138504992).

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

5416162441440 is a wasteful number, since it uses less digits than its factorization.

5416162441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738033 (or 1738025 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 5416162441440 in words is "five trillion, four hundred sixteen billion, one hundred sixty-two million, four hundred forty-one thousand, four hundred forty".