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3140302021440 = 2635172191913119
BaseRepresentation
bin101101101100101000100…
…101100010001101000000
3102010012200001021102201120
4231230220211202031000
5402422314304141230
610402345042432240
7442610416522263
oct55545045421500
912105601242646
103140302021440
111000881695011
12428740962680
1319a18ab49abc
14abdc46a2cda
1556a46c23310
hex2db28962340

3140302021440 has 672 divisors, whose sum is σ = 11210865868800. Its totient is φ = 742525009920.

The previous prime is 3140302021433. The next prime is 3140302021447. The reversal of 3140302021440 is 441202030413.

It is an interprime number because it is at equal distance from previous prime (3140302021433) and next prime (3140302021447).

It is a super-2 number, since 2×31403020214402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3140302021440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140302021447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1006828201 + ... + 1006831319.

Almost surely, 23140302021440 is an apocalyptic number.

3140302021440 is a gapful number since it is divisible by the number (30) 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 3140302021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605432934400).

3140302021440 is an abundant number, since it is smaller than the sum of its proper divisors (8070563847360).

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

3140302021440 is a wasteful number, since it uses less digits than its factorization.

3140302021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3140302021440 its reverse (441202030413), we get a palindrome (3581504051853).

The spelling of 3140302021440 in words is "three trillion, one hundred forty billion, three hundred two million, twenty-one thousand, four hundred forty".