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1402002389760 = 28357374789337
BaseRepresentation
bin10100011001101101110…
…110101011101100000000
311222000210221211201211120
4110121231312223230000
5140432300102433020
62552023200512240
7203201632454040
oct24315566535400
94860727751746
101402002389760
114a0649887365
121a787391b680
13a2292709b9b
144bc00527720
1526708d45740
hex1466ddabb00

1402002389760 has 1152 divisors, whose sum is σ = 5443850280960. Its totient is φ = 300838551552.

The previous prime is 1402002389699. The next prime is 1402002389773. The reversal of 1402002389760 is 679832002041.

It is a super-2 number, since 2×14020023897602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4160244312 + ... + 4160244648.

It is an arithmetic number, because the mean of its divisors is an integer number (4725564480).

Almost surely, 21402002389760 is an apocalyptic number.

1402002389760 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 1402002389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721925140480).

1402002389760 is an abundant number, since it is smaller than the sum of its proper divisors (4041847891200).

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

1402002389760 is a wasteful number, since it uses less digits than its factorization.

1402002389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1402002389760 in words is "one trillion, four hundred two billion, two million, three hundred eighty-nine thousand, seven hundred sixty".