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1143312310140 = 223571113531931861
BaseRepresentation
bin10000101000110010101…
…110010101111101111100
311001022002101211002112120
4100220302232111331330
5122213000422411030
62233121434402540
7145413226201140
oct20506256257574
94038071732476
101143312310140
1140096aaa1730
121656b8b90450
1383a77160060
143d49d937220
151eb1816d010
hex10a32b95f7c

1143312310140 has 768 divisors, whose sum is σ = 4404369199104. Its totient is φ = 213929164800.

The previous prime is 1143312310103. The next prime is 1143312310157. The reversal of 1143312310140 is 410132133411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1143312310140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 614352810 + ... + 614354670.

It is an arithmetic number, because the mean of its divisors is an integer number (5734855728).

Almost surely, 21143312310140 is an apocalyptic number.

1143312310140 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 1143312310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202184599552).

1143312310140 is an abundant number, since it is smaller than the sum of its proper divisors (3261056888964).

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

1143312310140 is a wasteful number, since it uses less digits than its factorization.

1143312310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1143312310140 its reverse (410132133411), we get a palindrome (1553444443551).

The spelling of 1143312310140 in words is "one trillion, one hundred forty-three billion, three hundred twelve million, three hundred ten thousand, one hundred forty".